Q1Written answer
Complete the table with the help of these boxes and use decimals to write the number.
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Worked solution
| Rows | Ones | Tenths | Hundreds | Number |
| (a) | 0 | 2 | 6 | 0.26 |
| (b) | 1 | 3 | 8 | 1.38 |
| (c) | 1 | 2 | 8 | 1.28 |
NCERT · Class 6 · Maths
Chapter 8: Decimals
Practice each question, then open the answer or worked solution.
Exercise 8.2
Textbook page 173 · 7 questionsQ2Written answer
Write the numbers given in the following place value table in decimal form.
| Rows | Hundreds | Tens | Ones | Tenths | Hundredths | Thousandths |
| 100 | 10 | 1 | 1 / 10 | 1/ 100 | 1 / 1000 | |
| (a) | 0 | 0 | 3 | 2 | 5 | 0 |
| (b) | 1 | 0 | 2 | 6 | 3 | 0 |
| (c) | 0 | 3 | 0 | 0 | 2 | 5 |
| (d) | 2 | 1 | 1 | 9 | 0 | 2 |
| (e) | 0 | 1 | 2 | 2 | 4 | 1 |
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Worked solution
(a) 3 + 2 / 10 + 5 / 100
= 3 + 0.2 + 0.05
= 3.25
(b) 100 + 2 + 6 / 10 + 3 / 100
= 102 + 0.6 + 0.03
= 102.63
(c) 30 + 2 / 100 + 5 / 1000
= 30 + 0.02 + 0.005
= 30.025
(d) 200 + 10 + 1 + 9 / 10 + 2 / 1000
= 211 + 0.9 + 0.002
= 211.902
(e) 10 + 2 + 2 / 10 + 4 / 100 + 1 / 1000
= 12 + 0.2 + 0.04 + 0.001
= 12.241
Q3Written answer
Write the following decimals in the place value table.
(a) 0.29
(b) 2.08
(c) 19.60
(d) 148.32
(e) 200.812
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Worked solution
(a) 0.29
= 0.2 + 0.09
= 2 / 10 + 9 / 100
(b) 2.08
= 2 + 0.08
= 2 + 8 / 100
(c) 19.60
= 19 + 0.60
= 10 + 9 + 6 / 10
(d) 148.32
= 148 + 0.3 + 0.02
= 100 + 40 + 8 + 3 / 10 + 2 / 100
(e) 200.812
= 200 + 0.8 + 0.01 + 0.002
= 200 + 8 / 10 + 1 / 100 + 2 / 1000
| Hundreds | Tens | Ones | Tenths | Hundredths | Thousandths |
| 0 | 0 | 0 | 2 | 9 | 0 |
| 0 | 0 | 2 | 0 | 8 | 0 |
| 0 | 1 | 9 | 6 | 0 | 0 |
| 1 | 4 | 8 | 3 | 2 | 0 |
| 2 | 0 | 0 | 8 | 1 | 2 |
Q4Written answer
Write each of the following as decimals.
(a) 20 + 9 + 4 / 10 + 1 / 100
(b) 137 + 5 / 100
(c) 7 / 10 + 6 / 100 + 4 / 1000
(d) 23 + 2 / 10 + 6 / 1000
(e) 700 + 20 + 5 + 9 / 100
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Worked solution
(a) 20 + 9 + 4 / 10 + 1 / 100
= 29 + 0.4 + 0.01
= 29.41
(b) 137 + 5 / 100
= 137 + 0.05
= 137.05
(c) 7 / 10 + 6 / 100 + 4 / 1000
= 0.7 + 0.06 + 0.004
=0.764
(d) 23 + 2 / 10 + 6 / 1000
= 23 + 0.2 + 0.006
= 23.206
(e) 700 + 20 + 5 + 9 / 100
= 725 + 0.09
= 725.09
Q5Written answer
Write each of the following decimals in words.
(a) 0.03
(b) 1.20
(c) 108.56
(d) 10.07
(e) 0.032
(f) 5.008
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Worked solution
The following are the decimals in words
(a) 0.03 = zero point zero three
(b) 1.20 = one point two zero
(c) 108.56 = one hundred eight point five six
(d) 10.07 = ten point zero seven
(e) 0.032 = zero point zero three two
(f) 5.008 = five point zero zero eight
Q6Multiple choice
Between which two numbers in tenths place on the number line does each of the given number lie?
(e) 0.92
(f) 0.57
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Correct option: A
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Worked solution
(a) 0.60 lies between 0 and 0.1 in tenths place
(b) 0.45 lies between 0.4 and 0.5 in tenths place
(c) 0.19 lies between 0.1 and 0.2 in tenths place
(d) 0.66 lies between 0.6 and 0.7 in tenths place
(e) 0.92 lies between 0.9 and 1.0 in tenths place
(f) 0.57 lies between 0.5 and 0.6 in tenths place
Q7Written answer
Write as fractions in the lowest terms.
(a) 0.60
(b) 0.05
(c) 0.75
(d) 0.18
(e) 0.25
(f) 0.125
(g) 0.066
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Worked solution
(a) 0.60 = 60 / 100
= 6 / 10
= 3 / 5
(b) 0.05 = 5 / 100
= 1 / 20
(c) 0.75 = 75 / 100
= 3 / 4
(d) 0.18 = 18 / 100
= 9 / 50
(e) 0.25 = 25 / 100
= 1 / 4
(f) 0.125 = 125 / 1000
= 1 / 8
(g) 0.066 = 66 / 1000
= 33 / 500