Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.4 Exercise 8.5 Exercise 8.6 |
NCERT Answers for Class 6 Maths Chapter 8 Decimals Exercise 8.1
Page 167, 168
Ex 8.1 Class 6 Maths Question 1. Write the following as numbers in the given table.
Hundreds (100) |
Tens (10) |
Ones (1) |
Tenths (1/10) |
Answer
Rows | Hundreds | Tens | Ones | Tenths |
a | 0 | 3 | 1 | 2 |
b | 1 | 1 | 0 | 4 |
Ex 8.1 Class 6 Maths Question 2. Write the following decimals in the place value table.
(a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9
Answer
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 |
Ex 8.1 Class 6 Maths Question 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
Answer
(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
Ex 8.1 Class 6 Maths Question 4. Write each of the following as decimals:
Answer
(a) 5/10 = 0.5
(b) 3 + 7/10 = 3 + 0.7 = 3.7
(c) 200 + 60 + 5 + 1/10 = 200 + 60 + 5 + 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
= 4 + 2/10 = 4 + 0.2 = 4.2
(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
= 3 + 3/5 = 3 + 0.6 = 3.6
= 4 + 1/2 = 4 + 0.5 = 4.5
Ex 8.1 Class 6 Maths Question 5. Write the following decimals as fractions. Reduce the fractions to lowest form.
(a) 0.6 (b) 2.5 (c) 1.0 (d) 3.8 (e) 13.7 (f) 21.2 (g) 6.4
Answer
(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
Ex 8.1 Class 6 Maths Question 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
Answer
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
Ex 8.1 Class 6 Maths Question 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
Answer
(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
Ex 8.1 Class 6 Maths Question 8. Show the following numbers on the number line.
(a) 0.2 (b) 1.9 (c) 1.1 (d) 2.5
Answer
Ex 8.1 Class 6 Maths Question 9. Write the decimal number represented by the points
A, B, C, D on the given number line.
Answer
(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
Ex 8.1 Class 6 Maths Question 10. (a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?
Answer
(a) The length of Ramesh notebook is 9 cm 5 mm
The length in cm is [(9 + 5 / 10)] cm = 9 + 0.5 cm
= 9.5 cm
(b) The length of a young gram plant is 65 mm. Express its length in cm.
Answer
(b) The length of a gram plant is 65 mm
Hence, the length in cm is 65 / 10
= 6.5 cm