## EX 8.2 QUESTION 1.

Solution:

 Rows Ones Tenths Hundreds Number (a) 0 2 6 0.26 (b) 1 3 8 1.38 (c) 1 2 8 1.28

## EX 8.2 QUESTION 2.

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

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

## EX 8.2 QUESTION 3.

Write the following decimals in the place value table.

(a) 0.29

(b) 2.08

(c) 19.60

(d) 148.32

(e) 200.812

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

## EX 8.2 QUESTION 4.

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

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

## EX 8.2 QUESTION 5.

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

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 eigh

## EX 8.2 QUESTION 6.

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

(a) 0.60

(b) 0.45

(c) 0.19

(d) 0.66

(e) 0.92

(f) 0.57

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

## EX 8.2 QUESTION 7.

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

Solutions:

(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

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