## MP Board Class 6th Maths Solutions Chapter 8 Decimals Ex 8.1

Question 1.

Write the following as numbers in the given table.

Solution:

Question 2.

Write the following decimals in the place value table.

(a) 19.4

(b) 0.3

(c) 10.6

(d) 205.9

Solution:

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

Solution:

(a) Seven-tenths = 7 tenths = \(\frac{7}{10}\) = 0.7

(b) Two tens and nine-tenths = \(2 \times 10+\frac{9}{10}\)

= 20 + 0.9 = 20.9

(c) Fourteen point six = 14.6

(d) One hundred and two-ones = 100 + 2 × 1

= 100 + 2 = 102

(e) Six hundred point eight = 600.8

Question 4.

Write each of the following as decimals:

Solution:

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

Solution:

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

Solution:

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?

Solution:

(a) 0.8

(b) 5.1

(C) 2.6

(d) 6.4

(e) 9.1

(f) 4.9

Solution:

(a) 0.8 lies between 0 and 1. From 0 to 1, 0.8 is nearer to 1

(b) 5.1 lies between 5 and 6. From 5 to 6, 5.1 is nearer to 5.

(c) 2.6 lies between 2 and 3. From 2 to 3, 2.6 is nearer to 3.

(d) 6.4 lies between 6 and 7. From 6 to 7, 6.4 is nearer to 6.

(e) 9.1 lies between 9 and 10. From 9 to 10, 9.1 is nearer to 9.

(f) 4.9 lies between 4 and 5. From 4 to 5, 4.9 is nearer to 5.

Question 8.

Show the following numbers on the number line.

(a) 0.2

(b) 1.9

(c) 1.1

(d) 2.5

Solution:

Question 9.

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

Solution:

Question 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.

Solution:

(a) 9 cm 5 mm = 9 cm + 5 mm

= \(\left(9+\frac{5}{10}\right)\) cm = 9.5 cm

(b) 65 mm = \(\frac{65}{10}\) cm = 6.5 cm