Q1Written answer
Write the following numbers in the given table.
| Hundreds | Tens | Ones | Tenths |
| (100) | (10) | (1) | (1 / 10) |
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Worked solution
| Rows | Hundreds | Tens | Ones | Tenths |
| a | 0 | 3 | 1 | 2 |
| b | 1 | 1 | 0 | 4 |
NCERT · Class 6 · Maths
Chapter 8: Decimals
Practice each question, then open the answer or worked solution.
Questions
10 questionsQ2Written answer
Write the following decimals in the place value table.
(a) 19.4
(b) 0.3
(c) 10.6
(d) 205.9
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Worked solution
| Hundreds | Tens | Ones | Tenths | |
| 19.4 | 0 | 1 | 9 | 4 |
| 0.3 | 0 | 0 | 0 | 3 |
| 10.6 | 0 | 1 | 0 | 6 |
| 205.9 | 2 | 0 | 5 | 9 |
Q3Written answer
Write each of the following as decimals:
(a) Seven-tenths
(b) Two tens and nine-tenths
(c) Fourteen point six
(d) One hundred and two ones
(e) Six hundred point eight
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Worked solution
(a) The decimal form of Seven-tenths is 7 / 10 = 0.7
(b) The decimal form of two tens and nine-tenths is 20 + 9 / 10 = 20.9
(c) The decimal form of fourteen point six is 14.6
(d) The decimal form of one hundred and two ones is 100 + 2 = 102.0
(e) The decimal form of six hundred point eight is 600.8
Q4Written answer
Write each of the following as decimals:
(a) 5 / 10
(b) 3 + 7 / 10
(c) 200 + 60 + 5 + 1 / 10
(d) 70 + 8 / 10
(e) 88 / 10
(f) 
(g) 3 / 2
(h) 2 / 5
(i) 12 / 5
(j) 
(k) 
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Worked solution
(a) 5 / 10 = 0.5
(b) 3 + 7 / 10 = 3 + 0.7
= 3.7
(c) 200 + 60 + 5 + 1 / 10 = 265 + 0.1
= 265.1
(d) 70 + 8 / 10 = 70 + 0.8
= 70.8
(e) 88 / 10 = 80 / 10 + 8 / 10
= 8 + 0.8
= 8.8
(f)
(g) 3 / 2 = (2 + 1) / 2
= 2 / 2 + 1 / 2
= 1 + 0.5
= 1.5
(h) 2 / 5 = 0.4
(i) 12 / 5 = (10 + 2) / 5
= 10 / 5 + 2 / 5
= 2 + 0.4
= 2.4
(j)
(k)
Q5Written answer
Write the following decimals as fractions. Reduce the fraction to the lowest form.
(a) 0.6
(b) 2.5
(c) 1.0
(d) 3.8
(e) 13.7
(f) 21.2
(g) 6.4
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Worked solution
(a) 0.6 = 6 / 10
= 3 / 5
(b) 2.5 = 25 / 10
= 5 / 2
(c) 1.0 = 1
= 1
(d) 3.8 = 38 / 10
= 19 / 5
(e) 13. 7 = 137 / 10
(f) 21.2 = 212 / 10
= 106 / 5
(g) 6.4 = 64 / 10
= 32 / 5
Q6Written answer
Express the following as cm using decimals.
(a) 2 mm
(b) 30 mm
(c) 116 mm
(d) 4 cm 2 mm
(e) 162 mm
(f) 83 mm
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Worked solution
We know that
1 cm = 10 mm
1 mm = 1 / 10 cm
(a) 2 mm = 2 / 10 cm
= 0.2 cm
(b) 30 mm = 30 / 10 cm
= 3.0 cm
(c) 116 mm = 116 / 10 cm
= 11.6 cm
(d) 4 cm 2 mm = [(4 + 2 / 10)] cm
= 4.2 cm
(e) 162 mm = 162 / 10 cm
= 16.2 cm
(f) 83 mm = 83 / 10 cm
= 8.3 cm
Q7Multiple choice
Between which two whole numbers on the number line are the given numbers lie?
Which of these whole numbers is nearer the number?
(e) 9.1
(f) 4.9
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Correct option: A
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Worked solution
(a) 0.8 lies between 0 and 1
0.8 is nearer to 1
(b) 5.1 lies between 5 and 6
5.1 is nearer to 5
(c) 2.6 lies between 2 and 3
2.6 is nearer to 3
(d) 6.4 lies between 6 and 7
6.4 is nearer to 6
(e) 9.1 lies between 9 and 10
9.1 is nearer to 9
(f) 4.9 lies between 4 and 5
4.9 is nearer to 5
Q8Written answer
Show the following numbers on the number line.
(a) 0.2
(b) 1.9
(c) 1.1
(d) 2.5
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Worked solution
(a) 0.2 lies between points 0 and 1 on the number line. The space between 0 and 1 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 0.2 is the second point between 0 and 1.
(b) 1.9 lies between points 1 and 2 on the number line. The space between 1 and 2 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 1.9 is the ninth point between 1 and 2.
(c) 1.1 lies between points 1 and 2 on the number line such that the space between 1 and 2 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 1.1 is the first point between 1 and 2.
(d) 2.5 lies between points 2 and 3 on the number line such that the space between 2 and 3 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 2.5 is the fifth point between 2 and 3.
Q9Written answer
Write the decimal number represented by the points A, B, C, and D on the given number line.
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Worked solution
(a) Point A represents 0.8 cm on the given number line
(b) Point B represents 1.3 cm on the given number line
(c) Point C represents 2.2 cm on the given number line
(d) Point D represents 2.9 cm on the given number line
Q10Written answer
(a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?
(b) The length of a young gram plant is 65 mm. Express its length in cm.
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Worked solution
(a) The length of Ramesh’s notebook is 9 cm 5 mm
The length in cm is [(9 + 5 / 10)] cm
= 9.5 cm
(b) The length of the gram plant is 65 mm
Hence, the length in cm is 65 / 10
= 6.5 cm