Category: Class 5

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 12 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 12

Question 1.
Solve the following word problems:

1. Prathamesh wants to buy a laptop worth 27,450 rupees. He has 22,975 rupees. What is the amount he still needs to be able to buy the laptop?
Solution:
₹ 2 7 4 5 0 Laptop worth
–
₹ 2 2 9 7 5 Prathmesh has
0 4 4 7 5 Require more
Answer:
₹ 04,475 amount require to buy the laptop,

2. A company produced 44,730 scooters in a certain year and 43,150 in the next. How many more scooters did they produce in the previous year?
Solution:
4 4 7 3 0 In previous year
–
4 3 1 5 0 In next year
0 1 5 8 0
Answer:
1,580 scooters produced more in the previous year.

3. In a certain city, the number of men is 16,37,856 and the number of women is 16,52,978. By how many does the number of women exceed the number of men?
Solution:
1 6 5 2 9 7 8 Women
–
1 6 3 7 8 5 6 Men
0 0 1 5 1 2 2
Answer:
15,122 women more than number of men.

4. An organization decided to collect 25,00,000 rupees for a certain project. They collected 26,57,340 through donations and other kinds of aid. By how much did they exceed their target?
Solution:
2 6 5 7 3 4 0 collected
–
2 5 0 0 0 0 0 decided to collect
0 1 5 7 3 4 0 collected more
Answer:
1,57,340

5. Use the numbers 23,849 and 27,056 to make a subtraction problem. Solve the problem.
Solution:
In a certain shop the price of a computer was ₹ 23,849 and that of TV set is ₹ 27,056. Price of TV set is how much more than that of a computer.
₹ 2 7 0 5 6 Price of T.V. sets
₹ 2 3 8 4 9 Price of computer
0 3 2 0 7 Price is more
Answer:
Price of TV set is more than computer by ₹ 3,207

Mixed examples
Study the following solved examples.

Example (1)
4,13,758 + 2,09,542 – 5,16,304
4,13,758 + 2,09,542 – 5,16,304 = 1,06,996

Example (2)
345678 – 162054 + 600127
345678 – 162054 + 600127 = 7,83,751

In these examples, both operations, addition and subtraction, have to be done. They are done in the order in which they are given. In actual cases, we need to consider the specific problem to decide which operation must be done first.

Example (3)
The total amount spent on building a certain house was ₹ 87,14,530. Of this amount, ₹ 24,72,615 were spent on buying the plot of land, ₹ 50,43,720 on the construction material and the rest on labour charges. What was the amount spent on labour?

Method : 1
8 7 1 4 5 3 0 → Total amount spent
–
2 4 7 2 6 1 5 → Cost of plot
6 2 4 1 9 1 5 → Cost of material and labour

6 2 4 1 9 1 5 → Cost of material and labour
–
5 0 4 3 7 2 0 → Cost of material
1 1 9 8 1 9 5 → Amount spent on labour

Method : 2
2 4 7 2 6 1 5 Cost of plot
+
5 0 4 3 7 2 0 Cost of material
7 5 1 6 3 3 5 Cost of plot and material

8 7 1 4 5 3 0 Total amount spent
–
7 5 1 6 3 3 5 Cost of plot and material
1 1 9 8 1 9 5 Amount spent on labour

Let us verify our answer.
2 4 7 2 6 1 5 Cost of plot
+
5 0 4 3 7 2 0 Cost of material
+
1 1 9 8 1 9 5 Amount spent on labour
8 7 1 4 5 3 0 Total cost

The sum total of all the amounts spent tallies with the given total cost. It means that our answer is correct.

Addition and Subtraction Problem Set 12 Additional Important Questions and Answers

Solve the following word problems:

Question 1.
Jethalal purchased goods for ₹ 53,25,675 sold it for ₹ 62,14,563. How much he obtained more in this transaction?
Solution:
6 2 1 4 5 6 3 Sold price
5 3 2 5 6 7 5 Purchased price
8 8 8 8 8 8 Obtained more
Answer:
₹ 8,88,888

Question 2.
In an election candidate A got 13,90,211 votes and candidate B got 8,57,143 votes. By how many votes the winner A defeated the looser B?
Solution:
1 3 9 0 2 1 1 Votes obtained by A
–
8 5 7 1 4 3 Votes obtained by B
0 5 3 3 0 6 8 Votes more obtained by A
Answer:
5,33,068

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 4 Multiplication and Division Problem Set 16 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 4 Multiplication and Division Problem Set 16

Question 1.
From a total of 10,000 rupees, Anna donated 7,000 rupees to a school. The remaining amount was to be divided equally among six students as the ‘all-round student’ prize. What was the amount of each prize?
Solution:
1 0 0 0 0 Total rupees
–
7 0 0 0 rupees donated
_______
3 0 0 0 remained
_______
This amount was divided among 6 students 500

Answer:
Amount of the prize is ₹ 500.

Question 2.
An amount of 260 rupees each was collected from 50 students for a picnic. If 11,450 rupees were spent for the picnic, what is the amount left over?
Solution:
₹ 2 6 0 Collected from 1 student
x
5 0 No. of students
0 0 0
+
1 3 0 0 0
1 3 0 0 0 Rupees, collected amount
–
1 1 4 5 0 Rupees spent
1 5 5 0 Rupees left over

Answer:
1,550 Rupees leftover

Question 3.
A shopkeeper bought a sack of 50kg of sugar for 1750 rupees. As the price of sugar fell, he had to sell it at the rate of 32 rupees per kilo. How much less money did he get than he had spent?
Solution:
₹ 3 2 Sale price of 1 kg
x
5 0 kg sold
0 0
+
1 6 0 0
1 6 0 0 Amount received
₹ 1 7 5 0 Purchased price
–
₹ 1 6 0 0 Obtained price
₹ 1 5 0 Lesshegot

Answer:
₹ 150 less he got than he had spent

Question 4.
A shopkeeper bought 7 pressure cookers at the rate of 1870 rupees per cooker. He sold them all for a total of 14,230 rupees. Did he get less or more money than he had spent?
Solution:
₹ 1 8 7 0 Purchase price of 1 cooker
x
7 No. of cookers
₹ 1 3 0 9 0 Purchase price
₹ 1 4 2 3 0 Sell price
–
₹ 1 3 0 9 0 Purchase price
₹ 0 1 1 4 0 he got more

Answer:
₹ 1,140 he got more

Question 5.
Fourteen families in a Society together bought 8 sacks of wheat, each weighing 98 kilos. If they shared all the wheat equally, what was the share of each family?
Solution:
9 8 Kilo weight of 1 sack
x
8 No. of sacks
7 8 4 Kilo

Answer:
Share of each family = 56 kilo

Question 6.
The capacity of an overhead water tank is 3000 litres. There are 16 families living in this building. If each family uses 225 litres every day, will the tank filled to capacity be enough for all the families? If not, what will the daily shortfall be?
Solution:
₹ 2 2 5 Litres uses 1 family
x 1 6 No. of families
1 3 5 0
+
2 2 5 0
3 6 0 0 Litres required
–
3 0 0 0 Litres capacity
6 0 0 Litres daily shortfall

Answer:
600 litres is daily shortfall

Multiplication and Division Problem Set 16 Additional Important Questions and Answers

Solve the following word problems:

(1) A farmer brought 250 trays of tomatoes seedlings. Each tray had 48 seedlings. He planted all the seedlings in his field, putting 25 in a row. How many rows of tomatoes did he plant?
Solution:
₹ 2 5 0 Tray of tomatoes seedlings
x
4 8 Seedlings in 1 tray
2 0 0 0
+
1 0 0 0 0
1 2 0 0 0 Total no. of seedlings


Answer:
The number of rows is 480.

Q.l. Solve the following :
Multiply :
(1) 438 x 76
(2) 594 x 208
(3) 3467 x 926
(4) 3581 x 87
(5) 425 x 87
(6) 579 x 49
Answer:
(1) 33,288
(2) 1,23,552
(3) 32,10,442
(4) 3,11,547
(5) 36,975
(6) 28,371

Solve the following and write the quotient and remainder:

(1) 1345 ÷ 37
(2) 9682 ÷ 83
(3) 6371 ÷ 42
(4) 72534 ÷ 23
(5) 1284 ÷ 32
(6) 63240 ÷ 37
Answer:
(1) Quotient 36, Remainder 13
(2) Quotient 116, Remainder 54
(3) Quotient 151, Remainder 29
(4) Quotient 3153, Remainder 15
(5) Quotient 40, Remainder 4
(6) Quotient 1709, Remainder 7

Fill in the blanks :

(1) 88 x 17; 17 is called …………………………. and 88 is called
(2) Product of the greatest three-digit number and smaller two-digit number is ………………………… .
(3) Multiplicand and multiplier are interchanged the product remains the ………………………… .
(4) While multiplying by tens digit, we have to put in the units place ………………………… .
Answer:
(1) multiplier, multiplicand
(2) 99,900
(3) same
(4) zero

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 6 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 6

Question 1.
Write the proper symbol, ‘<’ or ‘>’ in the box.
(1) 5,705 [ < ] 15,705
(2) 22,74,705 [  ] 12,74,705
(3) 35,33,302 [  ] 35,32,302
(4) 99,999 [  ] 9,99,999
(5) 4,80,009 [  ] 4,90,008
(6) 35,80,177 [  ] 35,88,172
Answer:
(1) <
(2) >
(3) >
(4) <
(5) <
(6) <

Question 2.
Solve the problems given below.

(1) The Swayamsiddha Savings Group made 3,45,000 papads while the Swabhimani Group made 2,95,000. Which group made more papads?
Answer:
Here, 3,45,000 > 2,95,000
Hence, the Swayamsiddha saving group made more papads.

(2) Children of the Primary School in Ahmadnagar District collected 2,00,000 seeds while those in Pune District collected 3,25,000. Which children collected more seeds?
Answer:
Here, 3,25,000 > 2,00,000
Hence, Pune District children collected more seeds.

(3) The number of people who took part in the Republic Day flag hoisting ceremony was 2,01,306 in Pandharpur taluka and 1,97,208 in Malshiras taluka. In which taluka did a larger number of people participate?
Answer:
Here, 2,01,306 > 1,97,208
Hence, people of Pandharpur taluka participated in larger number

(4) At an exhibition, the Annapoorna Savings Group sold goods worth 5,12,345. The Nirman Group sold goods worth 4,12,900. This figure was 4,33,000 for the Srujan Group and 5,11,937 for the Savitribai Phule group.

Which group had the largest sales?

Which group had the smallest?

Write the sales figures in ascending order.
Answer:
Among the numbers 5,12,345; 4,12,900; 4,33,000; 5,11,937

5,12,345 is largest and 4,12,900 is smallest. Hence, Annapoorna group had the largest sale and Nirman Group had the smallest sales.

Sales in ascending order

4,12,900 < 4,33,000 < 5,11,937 < 5,12,345

Introducing crores

99,99,999 is the biggest seven-digit number. On adding the number 1 to it, we get the smallest eight-digit number, 1,00,00,000. We read this number as ‘one crore’. The new place created to write this number is called the ‘crores’ place.

From the following examples, you can learn to read eight-digit numbers.

Number – Reading

8,45,12,706 – Eight crore forty-five lakh twelve thousand seven hundred and six
5,61,63,589 – Five crore sixty-one lakh sixty-three thousand five hundred and eighty-nine
6,09,04,034 – Six crore nine lakh four thousand and thirty-four

Something more

On the left of the crores place are the places for ten crores, abja, and ten abja in that order. The place value of each of these is ten times the value of the one on its right. According to the Census of the year 2011, the population of our country is 1,21,01,93,422. We read this as ‘one Abuja twenty-one crore one lakh ninety-three thousand four hundred and twenty-two.

Roman Numerals Problem Set 4 Additional Important Questions and Answers

Question 1.
Write the proper symbol, ‘<‘ or ‘>’ in the box.
(1) 68,34,170 [     ] 8,43,170
(2) 5,04,132 [     ] 5,04,123
(3) 1,01,001 [     ] 1,00,101
(4) 14,55,432 [     ] 4,54,532
Answer:
(1) >
(2) >
(3) >
(4) >

Question 2.
Write the numbers in words.

(1) 15,97,21,409
Answer:
Fifteen crore, ninety-seven lakh, twenty-one thousand, four hundred and nine

(2) 99,99,99,999
Answer:
Ninety-nine crore, ninety-nine lakh, ninety- nine thousand, nine hundred and ninety nine.

(3) 7,54,21,607
Answer:
Seven crore, fifty-four lakh, twenty-one thousand, six hundred and seven.

(4) 5,16,36,854
Answer:
Five crore, sixteen lakh, thirty-six thousand, eight hundred and fifty four.

Question 3.
Write in figures.

(1) One crore, fifteen lakh, fifty-nine thousand, seven hundred and four
Answer:
1,15,59,704

(2) Sixty-five crore, seventy lakh, fifty thousand and thirty nine
Answer:
65,70,50,039

(3) Four crore, fifty-nine lakh, fourty-three thousand, five hundred and thirty four
Answer:
4,59,43,534

(4) Eighteen crore, seventy-six lakh, fifty-four thousand and one
Answer:
18,76,54,001

Question 4.
Fill in the blanks in the table below:

Answer:

Question 5.
Write the following numbers in words.
(1) 17,301
(2) 45,019
(3) 40,018
(4) 28,740
Answer:
(1) Seventeen thousand, three hundred and one.
(2) Forty-five thousand and nineteen.
(3) Forty thousand and eighteen
(4) Twenty-eight thousand seven hundred and forty

Question 6.
How many rupees do they make?
(1) 8 notes of rupees 2,000, 3 notes of rupees 100,11 notes of rupees 10.
Answer:
16,410

(2) 9 notes of rupees 2,000, 18 notes of rupees 100,18 notes of rupees 50,18 notes of rupees 10.
Answer:
20,880

(3) Write the smallest and the biggest five-digit numbers that can be made using the digits only once.
(a) 6, 8, 0,1, 9
(b) 3, 5,1,2, 8
Answer:
Smallest number : (i) 10,689 (ii) 12358
Biggest number : (i) 98,610 (ii) 85321

(4) Write the smallest and the biggest number from the following numbers.
(a) 35,798
(b) 39,785
(c) 39,587
(d) 35,789
Answer:
Smallest number : 35,789
Biggest number : 39,785

(5) Write the number from the given number which is neither biggest nor smallest.
(a) 45, 798
(b) 45, 789
(c) 45, 897
Answer:
45,798.

(6) Write the biggest and the smallest three-digit numbers that can be made using the digits 0,1, 2, 3, 4, 5, 6, 7, 8, 9 only once.
Answer:
Biggest three-digit number : 987
Smallest three-digit number : 102

Question 7.
Read the numbers and write them in words.
(1) 2,65,048
(2) 1,80,794
(3) 1,06,709
(4) 8,80,006
Answer:
(1) Two lakh sixty-five thousand and forty- eight,
(2) One lakh eighty thousand seven hundred and ninety-four.
(3) One lakh six thousand seven hundred and nine.
(4) Eight lakh eighty thousand and six.

Question 8.
Read the numbers and write them in figures.
(1) Two lakh five thousand three hundred and six.
(2) Six lakh and six
(3) Nine lakh forty thousand and thirty seven.
(4) Five lakh ninety-nine thousand and fifteen.
Answer:
(1) 2,05,306
(2) 6,00,006
(3) 9,40,037
(4) 5,99,015

Question 9.
Write six, six-digit numbers using the digits 0,.3,5,7,9,1 only once with 9 lakh fifty-seven thousand in all numbers.
Answer:
(1) 9,57,301
(2) 9,57,310
(3) 9,57,103
(4) 9,57,130
(5) 9,57,013
(6) 9,57,031

Question 9.
(A) Match the columns:

(A)	(B)
(1) Nine lakh nine thousand nine	(a) 9,09,090
(2) Nine lakh june thousand nine hundred nine	(b) 9,90,090
(3) Nine lakh nine thousand ninety	(c) 9,09,009
(4) Nine lakh ninety thousand ninety	(d) 9,09,909

Answer:
(1 – c),
(2 – d),
(3 – a),
(4 – b)

(B) Match the columns:

(A)	(B)
(1) Thirty-three lakh, three thousand and three	(a) 33,30,300
(2) Thirty-three lakh, thirty thousand, three hundred	(b) 33,03,003
(3) Thirty lakh, three thousand and thirty.	(c) 30,30,003
(4) Thirty lakh, thirty thousand and three	(d) 30,03,030

Answer:
(1 – b),
(2 – a),
(3 – d),
(4 – c)

Question 10.
Read the numbers and write them in words.
(1) 34,87,569
(2) 70,85,039
(3) 48,07,102
(4) 67,40,960
(5) 88,00,080
(6) 40,40,004
Answer:
(1) Thirty-four lakh, eighty-seven thousand, five hundred and sixty-nine.
(2) Seventy lakh, eight-five thousand and thirty-nine.
(3) Forty-eight lakh, seven thousand, one hundred and two.
(4) Sixty-seven lakh, forty thousand, nine hundred and sixty.
(5) Eighty-eight lakh and eighty.
(6) Forty lakh, forty thousand and four.

Question 11.
Read the numbers and write them in figures.
(1) Fifty-nine lakh, seven thousand, seventeen.
(2) Twenty-two lakh, ten thousand, five hundred.
(3) Fifty-two lakh, twenty-five thousand, four hundred and fifteen.
(4) Thirty lakh, thirty thousand and thirty.
Answer:
(1) 59,07,017
(2) 22,10,500
(3) 52,25,415
(4) 30,30,030

Question 12.
Write the place value of the underlined digit.
(1) 68,03,512
(2) 3,42,157
(3) 84,52,170
(4) 79,345
(5) 38,14,093
(6) 8,10,618
(7) 35,10,387
Answer:
(1) 8,00,000
(2) 40,000
(3) 2,000
(4) 5
(5) 90
(6) 600
(7) 30,00,000

Question 13.
Write the numbers in their expanded form.
(1) 78,15,692
(2)50,95,182
(3)6,40,078
(4) 9,58,802
Answer:
(1) 70,00,000 + 8,00,000 + 10,000 + 5,000 + 600 + 90 + 2
(2) 50,00,000 + 90,000 + 5,000 + 100 + 80 + 2
(3) 6,00,000 + 40,000 + 70 + 8
(4) 9,00,000 + 50,000 + 8,000 + 800 + 2

Question 14.
Write the place name and place value of each digit in the following numbers.
(1) 27,306
(2) 1,70,425
(3) 75,68,041
(4) 55,555
Answer:
(1) 27,306
(2) 1,70,425
(3) 75,68,041
(4) 55,555

Question 15.
The expanded form of the number is given. Write the number.
(1) 70,000 + 6,000 + 500 + 40 + 8
(2) 8,00,000 +-30,000 + 5,000 + 400 + 3
(3) 60,00,000 + 2,00,000 + 70 + 4
(4) 20,00,000 + 5,00,000 + 900 + 5
Answer:
(1) 76,548
(2) 8,35,403
(3) 62,00,074
(4) 25,00,905

Question 16.
Considering the number 50,43,176.
Fill in the blanks.
(1) The digit in the ten thousand place is ……………………………………….. .
(2) Place value of 1 is ……………………………………….. .
(3) The digit in the lakhs place is ……………………………………….. .
(4) Place value of 5 is ……………………………………….. .
(5) The digit 7 is in ……………………………………….. place.
Answer:
(1) 4
(2) 100
(3) 0
(4) 50,00,000
(5) tens

Question 17.
Write the proper symbols ‘<‘ or ‘>’ in the box.
(1) 12,625 [     ] 21,526
(2) 23,564 [     ] 23,546
(3) 36,60,660 [     ] 36,60,606
(4) 89,14,507 [     ] 89,15,407
Answer:
(1) <
(2) >
(3) >
(d) <

Question 18.
Solve the problems given below.
(1) Population of city A is 8,57,238 and that of city B is 8,75,461. Population of which city is more?
Answer:
city B

(2) Yearly income of Rajnikant is? 3,48,600 and that of Shashikant is? 3,46,500. Whose income is less?
Answer:
Shashikant

Question 19.
Profit of the four companies A, B, C, D is as follows.

Now, answer the following questions.
(1) Which company made maximum profit?
(2) Which company made minimum profit?
(3) Write the profit of the companies in the descending order.
Answer:
(1) B
(2) C
(3) profit of company B > D > A > C

Question 20.
In a certain election, candidates : Tavade, Patel, Chauhan, and Shinde got the votes as follows.

Now, answer the following questions.
(1) Who got the highest number of votes?
(2) Who got the least number of votes?
(3) Write the number of votes obtained in the ascending order.
Answer:
(1) Patel
(2) Shinde
(3) 34,67,008 < 37,51,386 < 43,51,239 < 48,00,173

Question 21.
Compare the following using >, < or = signs.
(1) 3,97,48,632 [     ] 3,97,58,632
(2) 1,50,15,178 [     ] 1,50,15,780
(3) 3,74,98,561 [     ] 96,42,748
(4) 30,49,75,831 [     ] 30,49,00,831
Answer:
(1) <
(2) <
(3) >
(4) >

Question 22.
Circle the correct answer:
(1) Mark periods 617231801 according to the Indian Number system.
(a) 61,72,31,801
(b) 16,172,31
(c) 617,231,801
Answer:
(a) 61,72,31,801

(2) Mark periods 90289164 according to the international Number system.
(a) 9,0289,164
(b) 902891,64
(c) 90,289,164
Answer:
(c) 90,289,164

(3) 1,00,00,000 is read as ……………………………….. .
(a) ten crore
(b) one crore
(c) hundred thousand
Answer:
(b) one crore

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 4 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 4

Question 1.
Read the numbers and write them in words.
(1) 25,79,899
(2) 30,70,506
(3) 45,71,504
(4) 21,09,900
(5) 43,07,854
(6) 50,00,000
(7) 60,00,010
(8) 70,00,100
(9) 80,01,000
(10) 90,10,000
(11) 91,00,000
(12) 99,99,999
Answer:
(1) Twenty-five lakh, seventy-nine thousand, eight hundred and ninety-nine.
(2) Thirty lakh, seventy thousand, five hundred and six.
(3) Forty-five lakh, seventy-one thousand, five hundred and four.
(4) Twenty-one lakh, nine thousand, nine hundred.
(5) Forty-three lakh, seven thousand, eight hundred and fifty-four.
(6) Fifty lakh.
(7) Sixty lakh and ten.
(8) Seventy lakh and one hundred.
(9) Eighty lakh and one thousand
(10) Ninety lakh and ten thousand
(11) Ninety-one lakh
(12) Ninety-nine lakh, ninety-nine thousand, nine hundred and ninety-nine.

Question 2.
Given below are the deposits made in the Women’s Co-operative Credit Societies of some districts. Read those figures.
Pune : ₹ 94,29,408
Nashik : ₹ 61,07,187
Nagpur : ₹ 46,53,570
Ahmadnagar : ₹ 45,43,159
Aurangabad : ₹ 37,01,282
Yavatmal : ₹ 27,72,348
Sindhudurg : ₹ 58,49,651
Answer:
Rupees ninety-four lakh, twenty-nine thousand, four hundred and eight.
Rupees sixty-one lakh, seven thousand, one hundred and eighty-seven
Rupees forty-six lakh, fifty-three thousand, five hundred and seventy.
Rupees forty-five lakh, forty-three thousand one hundred and fifty-nine.
Rupees thirty-seven lakh, one thousand, two hundred and eighty-two.
Rupees twenty-seven lakh, seventy two thousand, three hundred and forty-eight.
Rupees fifty-eight lakh, forty-nine thousand, six hundred and fifty-one.

The expanded form of a number and the place value of digits

Teacher : Look at the place value of each of the digits in the number 27,65, 043.

Hamid : When we write the place values of the digits as an addition, we get the expanded form of the number. So, the expanded form of the number 27,65,043 is 20,00,000 + 7,00,000 + 60,000 + 5,000 + 0 + 40 + 3.

Teacher : Now tell me the expanded form of 95,04,506.

Soni : 90,00,000 + 5,00,000 + 0 + 4,000 + 500 + 0 + 6.

Teacher : Good! It can also be written as 90,00,000 + 5,00,000 + 4,000 + 500 + 6. Now write the number from the expanded form that I give you. 4,00,000 + 90,000 + 200

Asha : Here, we have 4 in the lakhs place, 9 in the ten thousands place and 2 in the hundreds place. There are no digits in the ten thousands place and in the tens and units places. Hence, we write 0 in those places. Therefore, the number is 4,90,200.

Teacher : Tell me the place value of the underlined digit in the number 59,30,478.
Soni : The underlined digit is 5. The digit is in the ten lakhs place. Hence, its place value is 50,00,000 or fifty lakhs.

Roman Numerals Problem Set 4 Additional Important Questions and Answers

Question 1.
Read the numbers and write them in words:

(1) 80,91,001
Answer:
Eighty lakh, ninety-one thousand and one.

(2) 50,50,505
Answer:
Fifty lakh, fifty thousand, five hundred and five.

(3) 68,06,086
Answer:
Sixty-eight lakh, six thousand and eighty- six.

Question 2.
Given below are the deposits made in the Women’s Co-operative Credit Societies of some districts. Read those figures.

(1) Thane : 75,14,365
Answer:
Rupees seventy-five lakh, fourteen thousand, three hundred and sixty-five.

(2) Jalgaon : 39,42,180
Answer:
Rupees thirty-nine lakh, forty-two thousand, one hundred and eighty.

(3) Kalyan : 37,40,509
Answer:
Rupees thirty-seven lakh, forty thousand, five hundred and nine.

(4) Kolhapur: 16,05,430
Answer:
Rupees sixteen lakh, five thousand, four hundred and thirty.

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 9 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 9

Solve the following problems.

Question 1.
In a certain election, 13,47,048 women and 14,29,638 men cast their votes. How many votes were polled altogether?
Solution:
1 3 4 7 0 4 8 Women votes
+
1 4 2 9 6 3 8 Men votes
2 7 7 6 6 8 6 Total votes

Answer:
Altogether 27,76,686 votes were polled.

Question 2.
What will be the sum of the smallest and the largest six-digit numbers?
Solution:
1 0 0 0 0 0 Smallest six-digit No.
+
9 9 9 9 9 9 Largest six-digit No.
1 0 9 9 9 9 9 Total of six-digit No.

Answer:
Altogether 10,99,999 six-digit numbers.

Question 3.
If Surekhatai bought a tractor for ₹ 8,07,957 and a thresher for ₹ 32,609, how much money did she spend altogether?
Solution:
8 0 7 9 5 7 Tractor
+
3 2 6 0 9 Thresher
8 4 0 5 6 6 Total

Answer:
Surekhatai spend ₹ 8,40,566 altogether.

Question 4.
A textile mill produced 17,24,938 metres of cloth last year and 23,47,056 metres this year. What was the total production for the two years?
Solution:
1724938 m. prod, last year
+
2347056 m. prod, this year
4071994 m. prod, in 2 years

Answer:
40,71,994 metres was the total production for the two years.

Question 5.
If the Government gave ₹ 34,62,950 worth of computers and ₹ 3,26,578 worth of TV sets to the schools, what is the total amount it spent on this equipment?
Solution:
3 4 6 2 9 5 0 ₹ Computers
3 2 6 5 7 8 ₹ TV sets
3 7 8 9 5 2 8 Total ₹

Answer:
Total amount spent on equipments is ₹ 37,89,528

Subtraction : Revision

Study the following example.

Last year, 38,796 students took a certain exam. This year the number was 47,528. How many more students took the exam this year?

8,732 more students took the exam this year.

Addition and Subtraction Problem Set 9 Additional Important Questions and Answers

Question 1.
Solve the following problems.

(1) Goods of ₹ 14,08,345 was sold on last month and goods of ₹ 15,16,178 sold this month. What is the total sale of goods in these two months?
Solution:
1 4 0 8 3 4 5 Sale of last month
+
1 5 1 6 1 7 8 Sale in this month
2 9 2 4 5 2 3 Total sale of goods

Answer:
Total sale of good is ₹ 29,24,523

(2) Sundar purchased the flat of ₹ 28,15,000 and a Car of ₹ 12,05,500. What is the total amount spent by him?
Solution:
2 8 1 5 0 0 0 Cost of flat
1 2 0 5 5 0 0 Cost of Car
4 0 2 0 5 0 0 Total cost

Answer:
Total cost of ₹ 40,20,500

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 3 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 3

Question 1.
Read the numbers and write them in words.
(1) 7,65,234
(2) 4,73,225
(3) 3,27,001
(4) 8,75,375
(5) 1,50,437
(6) 2,03,174
(7) 6,47,851
(8) 9,00,999
(9) 5,75,010
(10) 4,03,005
Answer:
(1) Seven lakh, sisxty-five thousand, two hundred and thirty-four.
(2) Four lakh, seventy-three thousand, two hundred and twenty-five.
(3) Three lakh, twenty-seven thousand and one
(4) Eight lakh seventy-five thousand three hundred and seventy-five
(5) One lakh fifty thousand four hundred and thirty seven
(6) Two lakh three thousand one hundred and seventy-four
(7) Six lakh forty seven thousand eight hundred and fifty-one
(8) Nine lakh nine hundred and ninety-nine
(9) Five lakh seventy-five thousand and ten
(10) Four lakh three thousand and five.

Question 2.
Read the numbers and write them in figures.
(1) One lakh thirty-five thousand eight hundred and fifty-five
(2) Seven lakh twenty-seven thousand
(3) Four lakh twenty-five thousand three hundred
(4) Nine lakh nine thousand ninety-nine
(5) Seven lakh forty-nine thousand three hundred and sixty-two
(6) Eight lakh one sixty tow
Answer:
(1) 1,35,008
(2) 7,27,1 55
(3) 4,25,003
(4) 9,09,099
(5) 7,49,003
(6) 8,00,162

Question 3.
Make five six-digit numbers, each time using any of the digits 0 to 9 only once.
Answer:

• 4,09,138
• 3,17,045
• 1,20,645
• 9,72,860
• 6,54,302

Introducing seven-digit numbers
Teacher : Now we shall learn about seven-digit numbers. Suppose 10 farmers borrow ₹ 1,00,000 each from a Co-operative Bank. Then, how much is the total loan given by the bank to them?

Ajit : We must find out what is ten times 1,00,000. That is, we multiply 1,00,000 by 10. That means we write one zero after the number to be multiplied.

Ajay : 1,00,000 × 10 = 10,00,000

Teacher : This becomes a seven-digit number. We read it as ‘Ten lakh’. We must make one more place for the 10 lakhs to the left of the lakhs place. In western countries, the term million is used. One million is equal to ten lakhs.

Thus, ten lakh = 10,00,000.

Just as we read ten thousands and thousands together, we read ten lakhs and lakhs together. So, we read 18,35,614 as ‘eighteen lakh, thirty-five thousand, six hundred and fourteen.

Study the seven-digit numbers given below in figures and in words.

• 31,25,745 : thirty-one lakh, twenty-five thousand, seven hundred and forty-five
• 91,00,006 : ninety-one lakh and six
• 63,00,988 : sixty-three lakh, nine hundred and eighty-eight
• 88,00,400 : eighty-eight lakh, four hundred
• seventy-two lakh and ninety-five : 72,00,095
• seventy lakh, two thousand, three hundred : 70,02,300

Roman Numerals Problem Set 2 Additional Important Questions and Answers

Question 1.
Read the numbers and write them in words:

(1) 4,00,527
Answer:
Four lakh five hundred and twenty-seven.

(2) 7,34,016
Answer:
Seven lakh thirty-four thousand and sixteen.

Question 2.
Read the numbers and write them in figures.
(1) Nine lakh three thousand and twenty-three.
(2) One lakh one thousand one hundred and one.
Answer:
(1) 9,03,023
(2) 1,01,101

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 1 Roman Numerals Problem Set 1 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 1 Roman Numerals Problem Set 1

Question 1.
Write all the numbers from 1 to 20 using Roman numerals.
Answer:

Question 2.
Write the following numbers using international numerals.
(1) V
(2) VII
(3) X
(4) XIII
(5) XIV
(6) XVI
(7) XVIII
(8) IX
Answer:
(1) 5
(2) 7
(3) 10
(4) 13
(5) 14
(6) 16
(7) 18
(8) 9

Question 3.
Fill in the empty boxes.

Answer:

Question 4.
Write the numbers using Roman numerals.
(1) 9
(2) 2
(3) 17
(4) 4
(5) 11
(6) 18
Answer:
(1) IX
(2) II
(3) XVII
(4) IV
(5) XI
(6) XVIII

Question 5.
In the table below, each given number is written in international numerals and then again in Roman numerals. If it is written correctly in Roman numerals, put ‘/’ in the box under it. If not, put ‘X’ and correct it.

Answer:

Something more : L, C, D and M are also used as Roman numerals.

Activity : Apart from clocks and watches, where else do we see Roman numerals?

The decimal system of writing numbers
It is not easy to read or write numbers using Roman numerals. It also makes calculations difficult. You have learnt to write numbers using the ten digits, 0 to 9. In that system, the value of a digit depends upon its place in the number. This system of writing numbers is called the ‘decimal system’.

Mathematicians of ancient India invented the decimal system of writing numbers and began to use it. Later, this system was accepted in all parts of the world because it was simple and convenient.

Roman Numerals Problem Set 1 Additional Important Questions and Answers

Question 1.
Write all the numbers from 21 to 30 using roman numerals.
Answer:

Question 2.
Write the following numbers using international numerals.
(1) XXV
(2) XXIX.
Answer:
(1) 25
(2) 29

Question 3.
Fill in the empty boxes:
Answer:

Question 4.
Write the numbers using Roman Numerals:
(1) 1
(2) 21
(3) 10
Answer:
(1) I
(2) XXI
(3) X

Question 5.
In the table below, each given number is written in international numerals and then again in Roman numerals. If it is written correctly in Roman numerals put ‘S’ in the box under it. if not, put ‘x’ and correct it.
Answer:

Question 6.
Write all the numbers from 31 to 40 using Roman numerals.
Answer:

Question 7.
Write the following numbers using international numerals.
(1) VI
(2) XI
(3) XIV
(4) XVII
Answer:
(1) 6
(2) 11
(3) 14
(4) 17

Question 8.
Fill in the empty boxes:

Answer:
Four = IV, 16 = XVI, Twenty = XX, XV =15

Question 9.
Write the numbers using Roman numerals in the given boxes.
(1) 3 [ ]
(2) 8 [ ]
(3) 13 [ ]
(4) 16 [ ]
Answer:
(1) III
(2) VIII
(3) XIII
(4) XVI

Question 10.
State true or false of the following. If the statement is false then correct it in Roman numerals.
(1) 3 is written as IIV
(2) 14 is written as XIV
(3) 16 is written as XVI
(4) 19 is written as IXX
Answer:
(1) False (III)
(2) True
(3) True
(4) False (XIX)

Question 11.
Write the answers Roman numerals.
(1) III + IV = [ ]
(2) IV + V = [ ]
(3) IX – X = [ ]
(4) VI + X = [ ]
(5) III + II = [ ]
(6) V + V = [ ]
(7) XXX + XX = [ ]
(8) L + L = [ ]
Answer:
(1) VII
(2) IX
(3) XIX
(4) XVI
(5) V
(6) X
(7) L
(8) C

Question 12.
Match the columns:

Answer:
(1 – b),
(2 – a),
(3 – d),
(4 – c)

Question 13.
Circle the correct international numeral of the following:
(1) XXIV
(a) 14
(b) 20
(c) 24
Answer:
(c) 24

(2) VIII
(a) 8
(b) 207
(c) 19
Answer:
(a) 8

(3) XXIX
(a) 31
(b) 29
(c) 20
Answer:
(b) 29

(4) XXVII
(a) 27
(b) 28
(c) 26
Answer:
(a) 27

Question 14.
Circle the correct Roman numeral of the following:
(1) 36
(a) XXVI
(b) XXXVI
(c) XXXXVI
Answers:
(b) XXXVI

(2) 27
(a) XXXVI
(b) XXVII
(c) XXVI
Answers:
(c) XXVII

(3) 18
(a) XVIII
(b) XVI
(c) XVII
Answers:
(a) XVIII

(4) 605
(a)DCV
(b)CDV
(c) XXXXXV
Answers:
(a) DCV

Question 15.
Put >, < or = in the box.
(1) CVI [          ] CLX
(2) CLXIX [          ] CLXXI
(3) XLIX [          ] XXXIX
(4) MMXVI [          ] MMXXVI
(5) LXX VII [          ] LVIII
(6) MCMXL [          ] MCMXLV
Answers:
(1) <
(2) <
(3) >
(4) <
(5) >
(6) <

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 5 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 2 Number Work Problem Set 5

Question 1.
Write the place value of the underlined digit.

(1) 78, 95,210
(2) 14, 95,210
(3) 3,52,749
(4) 50,000
(5) 89, 99,988
Answer:
(1) Here, the underlined digit 7 is in ten lakhs place.
So, its place value is 70,00,000 (70 lakhs)

(2) Here, the underlined digit 4 is in lakhs place.
So, its place value is 4,00,000 (4 lakhs)

(3) Here, the underlined digit 5 in ten thousands place.
So, its place value is 50,000 (50 thousands)

(4) Here, the underlined digit ‘0’ is in the unit place.
Hence, its place value is 0 (zero)

(5) Here, the underlined digit 9 is in ten thousands place
So, its place value is 90,000 (90 thousands)

Question 2.
Write the numbers in their expanded form.
(1) 56, 43, 215
(2) 70, 815
(3) 8, 35, 999
(4) 8, 88, 889
(5) 92, 32, 992
Answer:
(1) 56,43,215: 50,00,000 + 6,00,000 + 40,000 + 3,000 + 200 + 10 + 5
(2) 70,815 : 70,000 + 800 + 10 + 5
(3) 8,35,999 : 8,00,000 + 30,000 + 5,000 + 900 + 90 + 9
(4) 8,88,889 : 8,00,000 + 80,000 + 8,000 + 800 + 80 + 9
(5) 92,32,992: 90,00,000 + 2,00,000 + 30,000 + 2,000 + 900 + 90 + 2

Question 3.
Write the place name and place value of each digit in the following numbers.
(1) 35, 705
Answer:
Digit 3 is in ten thousands place, its place value is 30,000
Digit 5 is in thousands place, its place value is 5,000
Digit 7 is in hundreds place, its place value is 700
Digit 0 is in ten place, its place value is 0
Digit 5 is in units place, its place value is 5

(2) 7, 82, 899
Answer:
Digit 7 is in lakhs place, its place value is 7.0. 000
Digit 8 is in ten thousands place, its place value is 80,000
Digit 2 is in thousands place, its place value is 2,000
Digit 8 is in hundreds place, its place value is 800
Digit 9 is- in ten place, its place value is 90 Digit 9 is in units place, its place value is 9

(3) 82, 74, 508
Answer:
Digit 8 is in ten lakhs place, its place value is 80,00,000
Digit 2 is in lakhs place, its place value is 2.0. 000
Digit 7 is in ten thousands place, its place value is 70,000
Digit 4 is in thousands place, its place value is 4,000
Digit 5 is in hundreds place, its place value is 500
Digit 0 is in ten place, its place value is 0
Digit 8 is in units place, its place value is 8

Question 4.
The expanded form of the number is given. Write the number.
(1) 60, 000 + 4000 + 600 + 70 + 9
(2) 9, 00, 000 + 20,000 + 7000 + 800 + 5
(3) 20,00,000 + 3,00,000 + 60,000 + 9000 + 500 + 10 + 7
(4) 7,00,000 + 80,000 + 4000 + 500
(5) 80,00,000 + 50,000 + 1000 + 600 + 9
Answer:
(1) The number is 64,679
(2) The number is 9,27,805
(3) The number is 23,69,517
(4) The number is 7,84,500
(5) The number is 80,51,609

An interesting dice game

Prepare a table with the name of each player, as shown below.
In front of each name, there are boxes to make seven-digit numbers.

Game 1 :
The first player throws the dice and writes that number in any one of the boxes in front of his/her name. You can write only one number in each box and once it is written, you cannot change its place. The other players do the same till all the boxes are filled and each one gets a seven-digit number. The one with the largest number is the winner.

Game 2 :
Use the same table, but you may write the number (you get on throwing the dice) in any box in front of anyone’s name. The one with the largest number is the winner.

Game 3 :
The rules are the same as for game 2, but the one with the smallest number is the winner.

Bigger and smaller numbers

Hamid : How do we determine the smaller or bigger number when we are dealing with six- or seven-digit numbers ?

Teacher : You have learnt how to do that with five-digit numbers. The number with the bigger ten thousands digit is the bigger number. If they are the same, we look at the thousands digits to determine the smaller or bigger number.

Now, can you tell how to compare six- or seven-digit numbers ?

Hamid : Yes, I can. First, we’ll look at the ten lakhs digits. If they are the same, we’ll look at the digits in the lakhs place. If those are equal, we look at the ten thousands place to tell the smaller or bigger number and so on. Besides, we might be able to tell which of the numbers is bigger, just by looking at the number of digits in each number. Right ?

Teacher : Absolutely ! The number with more digits is the bigger number.

Roman Numerals Problem Set 5 Additional Important Questions and Answers

Question 1.
Write the place value of the underlined digit.

(1) 81,67,303
Answer:
Here, the underlined digit 7 is in thousands place.
So, its place value is 7,000 (7 thousands)

(2) 41,35,062
Answer:
Here, the underlined digit 6 is in ten’s place.
So, its place value is 60 (sixty)

(3) 90,31,265
Answer:
Here, the underlined digit 3 is in ten thousands place.
So, its place value is 30,000 (30 thousands)

Question 2.
Write the numbers in their expanded form.
Answer:
(1) 51,03,640: .50,00,000 + 1,00,000 + 3,000 + 600 + 40
(2) 60,60,600: 60,00,000 + 60,000 + 600
(3) 71,45,042 : 70,00,000 + 1,00,000 + 40,000 + 5,000 + 40 + 2

Question 3.
Write the place name and place value of each digit in the following numbers.

(1) 1,88,919
Answer:
Digit 1 is in lakhs place, its place value is 1,00,000
Digit 8 is in ten thousands place, its place value is 80,000
Digit 8 is in thousands place, its place value is 8,000
Digit 9 is in hundreds place, its place value is 900
Digit 1 is in ten place, its place value is 10
Digit 9 is in units place, its place value is 9

Question 4.
The expanded form write the number.

(1) 40,00,000 + 5,00,000 + 10,000 + 3,000 + 200 + 70+8
Answer:
The number is 45,13,278

(2) 80,000 + 300 + 40 + 1
Answer:
The number is 80,341

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 8 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 8

Question 1.
Add the following:

(1) 42,311 + 65,36,624

Answer:
65,78,635

(2) 3,17,529 + 8,04,613

Answer:
11,22,142

(3) 12,42,746 + 4,83,748

Answer:
17,26,494

(4) 24,12,636 + 23,19,058

Answer:
47,31,694

(5) 2,654 + 71,209 + 5,03,789
1 1 2
2 6 5 4
+
7 1 2 0 9
+
5 0 3 7 8 9
Answer:
5 7 7 6 5 2

(6) 29 + 726 + 51,36,274
1 1 1
_______________
2 9
+
7 2 6
+
5 1 3 6 2 7 4
Answer:
5 1 3 7 0 2 9

(7) 14,02,649 + 524 + 28,13,749
1 1 1 2
_____________
1 4 0 2 6 4 9
+
5 2 4
+
2 8 1 3 7 4 9
Answer:
4 2 1 6 9 2 2

(8) 23,45,678 + 9,87,654
1 1 1 1 1 1
_____________
2 3 4 5 6 7 8
+
9 8 7 6 5 4
Answer:
3 3 3 3 3 3 2

(9) 22 + 6,047 + 3,84,527
1 1
2 2
+
6 4 0 7
+
3 8 4 5 2 7
Answer:
3 9 0 9 5 6

(10) 2,345 + 65,432 + 76,54,369
1 1 1 1 1
_________
2 3 4 5
+
6 5 4 3 2
+
7654369
Answer:
7 7 2 2 1 4 6

Study the following word problem.

During the polio eradication campaign, 3,17,658 children were given the polio vaccine in one District and 2,04,969 children in another. Altogether, how many children got the vaccine?
3 1 7 6 5 8
+
2 0 4 9 6 9
___________
5 2 2 6 2 7
___________
Altogether, 5,22,627 children got the vaccine.

Addition and Subtraction Problem Set 8 Additional Important Questions and Answers

Question 1.
Add the following:

(1) 4,506 + 3,82,459 + 6,12,999
Solution:
1 1 2
_________
4 5 0 6
+
3 8 2 4 5 9
+
6 1 2 9 9 9
Answer:
9 9 9 9 6 4

(2) 983 + 4,50,703 + 5,48,313
Solution:
1
________
9 0 0 3
+
4 5 0 7 0 3
+
5 4 00 3 1 3
Answer:
9 9 9 9 9 9

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7

Question 1.
Add the following

Answer:

Answer:

Answer:

Answer:

Addition of six-digit and seven-digit numbers

Last year, you have learned to add five-digit numbers. Six-and seven-digit numbers can
be added using the same method.

Study the following examples.

Add :
Example (1)
1,43,057 + 4,21,689

Example (2)
26,42,073 + 7,39,478

Example (3)
3,12,469 + 758 + 24,092
3 1 2 4 6 9
+ 7 5 8
+ 2 4 0 9 2
____________
3 3 7 3 1 9
____________

Example (4)
64 + 409 + 5,13,728
6 4
+ 4 0 9
+ 5 1 3 7 2 8
_____________
5 1 4 2 0 1
_____________

In the examples 3 and 4, the numbers are carried over mentally.

Question 2.
(1)

Answer:

(2)

Answer: