# Decimals NCERT Questions

## Access NCERT Solutions for Class 6 Chapter 8: Decimals

Exercise 8.1 page no: 167

1. Write the following numbers in the given table.

Solutions:

2. Write the following decimals in the place value table.

(a) 19.4

(b) 0.3

(c) 10.6

(d) 205.9

Solutions:

3. 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

Solutions:

(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

4. 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)

Solutions:

(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)

5. Write the following decimals as fractions. Reduce the fraction to lowest form.

(a) 0.6

(b) 2.5

(c) 1.0

(d) 3.8

(e) 13.7

(f) 21.2

(g) 6.4

Solutions:

(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

6. 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

Solutions:

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

7. Between which two whole numbers on the number line are the given numbers lie?

Which of these whole numbers is nearer the number?

(a) 0.8

(b) 5.1

(c) 2.6

(d) 6.4

(e) 9.1

(f) 4.9

Solutions:

(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

8. Show the following numbers on the number line.

(a) 0.2

(b) 1.9

(c) 1.1

(d) 2.5

Solutions:

(a) 0.2 lies between the 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. 0.2 is the second point between 0 and 1

(b) 1.9 lies between the 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. 1.9 is the ninth point between 1 and 2

(c) 1.1 lies between the 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. 1.1 is the first point between 1 and 2

(d) 2.5 lies between the 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. 2.5 is the fifth point between 2 and 3

9. Write the decimal number represented by the points A, B, C, and D on the given number line.

Solutions:

(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

10. (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.

Solutions:

(a) The length of Ramesh notebook is 9 cm 5 mm

The length in cm is [(9 + 5 / 10)] cm

= 9.5 cm

(b) The length of a gram plant is 65 mm

Hence, the length in cm is 65 / 10

= 6.5 cm

EXERCISE-8.2

1. Complete the table with the help of these boxes and use decimals to write the number.

(a) (b) (c) Ones Tenths Hundredths Number (a) – – – – (b) – – – – (c) – – – –

1. Write the numbers given in the following place value table in decimal form.
 Hundreds 100 Tens 10 Ones 1 Tenths Hundredths Thousandths (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
1. Write the following decimals in the place value table.

(a) 0.29                 (b) 2.08       (c) 19.60      (d) 148.32   (e) 200.812

1. Write each of the following decimals.

(a)                 (b)

(c)                   (d)

(e)

1. 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

1. Between which two numbers in tenths place on the number line does each of the given number lie?

(a) 0.06                 (b) 0.45       (c) 0.19        (d) 0.66

(e) 0.92                 (f) 0.57

1. Write as fractions in lowest terms.

(a) 0.60                 (b) 0.05       (c) 0.75        (d) 0.18

(e) 0.25                 (f) 0.125      (g) 0.066

EXERCISE-8.3

1. Which is greater?

(a) 0.3 or 0.4         (b) 0.07 or 0.02

(c) 3 or 0.8            (d) 0.5 or 0.05

(e) 1.23 or 1.2       (f) 0.099 or 0.19

(g) 1.5 or 1.50       (h) 1.431 or 1.490

(i) 3.3 or 3.300      (j) 5.64 or 5.603

EXERCISE-8.4

1. Express as rupees using decimals.

(a) 5 paise             (b) 75 paise

(c) 20 paise           (d) 50 rupees 90 paise

(e) 725 paise

1. Express as metres using decimals.

(a) 15 cm              (b) 6 cm

(c) 2 m 45 cm        (d) 9 m 7 cm

(e) 419 cm

1. Express as cm using decimals.

(a) 5 mm               (b) 60 mm

(c) 164 mm           (d) 9 cm 8 mm

(e) 93 mm

1. Express as km using decimals.

(a) 8 m                  (b) 88 m

(c) 8888 m            (d) 70 km 5 m

1. Express as kg using decimals.

(a) 2 g                   (b) 100 g     (c) 3750 g    (d) 5 kg 8 g

(e) 26 kg 50 g

EXERCISE-8.5

1. Find the sum in each of the following:

(a)      0.007 + 8.5 + 30.08

(b)     15 + 0.632 + 13.8

(c)      27.076 + 0.55 + 0.004

(d)     25.65 + 9.005 + 3.7

(e)      0.75 + 10.425 + 2

(f)      280.69 + 25.2 + 38

1. Rashid spent Rs 35.75 for Maths book and Rs 32.60 for Science book. Find the total amount spent by Rashid.
2. Radhika’s mother gave her Rs 10.50 and her father gave her Rs 15.80, find the total amount given to Radhika by the parents.
3. Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.
4. Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?
5. Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence?
6. Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find the total weight of his purchases.

EXERCISE-8.6

1. Subtract:

(a)      Rs 18.25 from Rs 20.75

(b)     202.54 m from 250 m

(c)      Rs 5.36 from Rs 8.40

(d)     2.051 km from 5.206 km

(e)      0.314 kg from 2.107 kg

1. Find the value of:

(a)      9.756 − 6.28                   (b) 21.05 − 15.27

(c)      18.5 − 6.79                     (d) 11.6 − 9.847

1. Raju bought a book for Rs 35.65. He gave Rs 50 to the shopkeeper. How much money did he get back from the shopkeeper?
2. Rani had Rs 18.50. She bought one ice-cream for Rs 11.75. How much money does she have now?
3. Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?
4. Namita travels 20 km 50 m every day. Out of this, she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?
5. Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?