Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 39 Textbook Exercise Important Questions and Answers.
Maharashtra State Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 39
Question 1.
Write how many rupees and how many paise.
(1) ₹ 58.43
Answer:
58 rupees 43 paise.
(2) ₹ 9.30
Answer:
9 rupees 30 paise.
(3) ₹ 2.30
Answer:
2 rupees 30 paise.
(4) ₹ 2.3
Answer:
2 rupees 30 paise.
Question 2.
Write how many rupees in decimal form.
(1) 6 rupees 25 paise
Answer:
₹ 6.25
(2) 15 rupees 70 paise
Answer:
₹ 15.70
(3) 8 rupees 5 paise
Answer:
₹ 8:05
(4) 22 rupees 4 paise
Answer:
₹ 22.04
(5) 720 paise
Answer:
₹ 7.20
Question 3.
Write how many metres and how many centimetres.
(1) 58.75 m
Answer:
58 m 75 cm
(2) 9.30 m
Answer:
9 m 30 cm
(3) 0.30 m
Answer:
30 cm
(4) 0.3 m
Answer:
30 cm
(5) 1.62 m
Answer:
1 m 62 cm
(6) 91.4 m
Answer:
91 cm 40 cm
(7) 7.02 m
Answer:
7 m 2 cm
(8) 0.09 m
Answer:
9 cm
Question 4.
Write how many metres in decimal form.
(1) 1 m 50 cm
Answer:
1.5 m
(2) 50 m 40 cm
Answer:
50.40 m
(3) 50 m 4 cm
Answer:
50.04 m
(4) 734 cm
Answer:
7.34 m
(5) 10 cm
Answer:
0.1 m
(6) 2 cm
Answer:
0.02 m
Question 5.
Write how many centimetres and how many millimetres.
(1) 6.9 cm
Answer:
6 cm 9 mm
(2) 20.4 cm
Answer:
20 cm 4 mm
(3) 0.8 cm
Answer:
8 mm
(4) 0.5 cm
Answer:
5 mm
Question 6.
Write how many centimetres in decimal form.
(1) 7 cm 1 mm
Answer:
7.1 cm
(2) 16 mm
Answer:
1.6 cm
(3) 144 mm
Answer:
14.4 cm
(4) 8 mm
Answer:
0.8 cm
Writing half, quarter, three-quarters and one and a quarter in decimal form
‘Half’ is usually written as \(\frac{1}{2}\). To convert this fraction into decimal form, the denominator of \(\frac{1}{2}\) must be converted into an equivalent fraction with denominator 10.
\(\frac{1}{2}=\frac{1 \times 5}{2 \times 5}=\frac{5}{10}\) so the decimal form of \(\frac{1}{2}\) will be \(\frac{5}{10}\) or 0.5 Just as \(\frac{1}{2}=\frac{1 \times 5}{2 \times 5}=\frac{5}{10}\) = 0.5, note that \(\frac{1}{2}=\frac{1 \times 50}{2 \times 50}=\frac{50}{100}\) = 0.50
Therefore, ‘half’ is written as ‘0.5’ or 0.50’. ‘Quarter’ and ‘three quarters’ are written in fractions as \(\frac{1}{4}\) and \(\frac{3}{4}\) respectively. Let us convert them into decimal fractions. 10 is not divisible by 4. Therefore, the denominators of \(\frac{1}{4}\) and \(\frac{3}{4}\) cannot be made into fractions with multiples of 10. However, 4 × 25 = 100, so the denominator can be 100.
A quarter \(=\frac{1}{4}=\frac{1 \times 25}{4 \times 25}=\frac{25}{100}=0.25\)
and Three quarters \(=\frac{3}{4}=\frac{3 \times 25}{4 \times 25}=\frac{75}{100}=0.75\)
One and a quarter = 1 \(\frac{1}{4}\) = 1.25
One and a half = 1 \(\frac{1}{2}\) = 1.50 = 1.5
One and three quarters = 1 \(\frac{3}{4}\) = 1.75
Seventeen and a half = 17 \(\frac{1}{2}\) = 17.50 = 17.5
Decimal Fractions Problem Set 37 Additional Important Questions and Answers
Question 1.
Write how many rupees and how many paise.
(1) ₹ 147.5
Answer:
1 hundred and 47 rupees 50 paise.
(2) ₹ 40.4
Answer:
40 rupees and 40 paise.
Question 2.
Write how many rupees in decimal form.
(1) 105 paise
Answer:
₹ 1.05
(2) 6 rupees 6 paise
Answer:
₹ 6.06
(3) 20 rupees 20 paise
Answer:
₹ 20.2
Question 3.
Write how many metres and how many centimetres.
(1) 1.1m =
Answer:
1 m 10 cm
(2) 120 cm =
Answer:
1 m 20 cm
(3) 24.8 m =
Answer:
24 m 80 cm
(4) 0.5 m =
Answer:
50 cm
Question 4.
Write how many metres in decimal form.
(1) 110 cm =
Answer:
1.1m
(2) 60 cm =
Answer:
0.6 m
Question 5.
Write how many centimetres and how many millimetres.
(1) 0.1 cm =
Answer:
1 mm
(2) 10.5 cm =
Answer:
10 cm 5 mm
Question 6.
Write how form. many centimetres in decimal
(1) 1 mm =
Answer:
0.1 cm
(2) 100 mm =
Answer:
10.0 cm