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# Decimals - Exercise 7.3 Class 6 Notes | EduRev

## Class 6 : Decimals - Exercise 7.3 Class 6 Notes | EduRev

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Exercise 7.3                                                                          page: 7.14
1. Write each of the following as decimals:
(i) Five hundred twenty five and forty hundredths.
(ii) Twelve and thirty five thousandths
(iii) Fifteen and seventeen thousandths
(iv) Eighty eight and forty eight hundredths
Solution:

(i) Five hundred twenty five and forty hundredths
It can be written as
525 + 40/100 = 525.40

(ii) Twelve and thirty five thousandths
It can be written as
12 + 35/1000 = 12.035

(iii) Fifteen and seventeen thousandths
It can be written as
15 + 17/1000 = 15.017

(iv) Eighty eight and forty eight hundredths
It can be written as
88 + 48/100 = 88.48

2. Write each of the following as decimals:
(i) 137 + 5/100
(ii) 20 + 9 + 4/100
Solution:

(i) 137 + 5/100
We know that
1 hundred, 3 tens, 7 ones and 5 hundredths
Hence, the decimal is 137.05.

(ii) 20 + 9 + 4/100
We know that
2 tens, 9 ones and 4 hundredths
Hence, the decimal is 29.04.

3. Write each of the following as decimals:
(i) 8/100
(ii) 300/1000
(iii) 18/1000
(iv) 208/100
(v) 888/1000
Solution:

(i) 8/100
We know that 8/100 = 0.08
Page 2

Exercise 7.3                                                                          page: 7.14
1. Write each of the following as decimals:
(i) Five hundred twenty five and forty hundredths.
(ii) Twelve and thirty five thousandths
(iii) Fifteen and seventeen thousandths
(iv) Eighty eight and forty eight hundredths
Solution:

(i) Five hundred twenty five and forty hundredths
It can be written as
525 + 40/100 = 525.40

(ii) Twelve and thirty five thousandths
It can be written as
12 + 35/1000 = 12.035

(iii) Fifteen and seventeen thousandths
It can be written as
15 + 17/1000 = 15.017

(iv) Eighty eight and forty eight hundredths
It can be written as
88 + 48/100 = 88.48

2. Write each of the following as decimals:
(i) 137 + 5/100
(ii) 20 + 9 + 4/100
Solution:

(i) 137 + 5/100
We know that
1 hundred, 3 tens, 7 ones and 5 hundredths
Hence, the decimal is 137.05.

(ii) 20 + 9 + 4/100
We know that
2 tens, 9 ones and 4 hundredths
Hence, the decimal is 29.04.

3. Write each of the following as decimals:
(i) 8/100
(ii) 300/1000
(iii) 18/1000
(iv) 208/100
(v) 888/1000
Solution:

(i) 8/100
We know that 8/100 = 0.08

Hence, the decimal is 0.08.

(ii) 300/1000
We know that 300/1000 = 3/10
So 3 tenths
Hence, the decimal is 0.3.

(iii) 18/1000
We know that 18/1000 = 0.018
Hence, the decimal is 0.018.

(iv) 208/100
We know that 208/100 = 200/100 + 8/100
So 2 and 8 hundredths
Hence, the decimal is 2.08.

(v) 888/1000
We know that 888/1000 = 800/1000 + 80/1000 + 8/1000
We get
= 8/10 + 8/100 + 8/1000
So 8 tenths, 8 hundredths and 8 thousandths
Hence, the decimal is 0.888.

4. Write each of the following as decimals:
(i) 12 1/4
(ii) 7 1/8
(iii) 5 1/20
Solution:

(i) 12 1/4
It can be written as
= 12 + 1/4
In order to make denominator 100
Multiply and divide by 25
We get
= 12 + [(1/4) × (25/25)]
On further calculation
= 12 + 25/100
So we get
= 12.25

(ii) 7 1/8
It can be written as
= 7 + 1/8
In order to make denominator 1000
Multiply and divide by 125
We get
= 7 + [(1/8) × (125/125)]
On further calculation
= 7 + 125/1000
Page 3

Exercise 7.3                                                                          page: 7.14
1. Write each of the following as decimals:
(i) Five hundred twenty five and forty hundredths.
(ii) Twelve and thirty five thousandths
(iii) Fifteen and seventeen thousandths
(iv) Eighty eight and forty eight hundredths
Solution:

(i) Five hundred twenty five and forty hundredths
It can be written as
525 + 40/100 = 525.40

(ii) Twelve and thirty five thousandths
It can be written as
12 + 35/1000 = 12.035

(iii) Fifteen and seventeen thousandths
It can be written as
15 + 17/1000 = 15.017

(iv) Eighty eight and forty eight hundredths
It can be written as
88 + 48/100 = 88.48

2. Write each of the following as decimals:
(i) 137 + 5/100
(ii) 20 + 9 + 4/100
Solution:

(i) 137 + 5/100
We know that
1 hundred, 3 tens, 7 ones and 5 hundredths
Hence, the decimal is 137.05.

(ii) 20 + 9 + 4/100
We know that
2 tens, 9 ones and 4 hundredths
Hence, the decimal is 29.04.

3. Write each of the following as decimals:
(i) 8/100
(ii) 300/1000
(iii) 18/1000
(iv) 208/100
(v) 888/1000
Solution:

(i) 8/100
We know that 8/100 = 0.08

Hence, the decimal is 0.08.

(ii) 300/1000
We know that 300/1000 = 3/10
So 3 tenths
Hence, the decimal is 0.3.

(iii) 18/1000
We know that 18/1000 = 0.018
Hence, the decimal is 0.018.

(iv) 208/100
We know that 208/100 = 200/100 + 8/100
So 2 and 8 hundredths
Hence, the decimal is 2.08.

(v) 888/1000
We know that 888/1000 = 800/1000 + 80/1000 + 8/1000
We get
= 8/10 + 8/100 + 8/1000
So 8 tenths, 8 hundredths and 8 thousandths
Hence, the decimal is 0.888.

4. Write each of the following as decimals:
(i) 12 1/4
(ii) 7 1/8
(iii) 5 1/20
Solution:

(i) 12 1/4
It can be written as
= 12 + 1/4
In order to make denominator 100
Multiply and divide by 25
We get
= 12 + [(1/4) × (25/25)]
On further calculation
= 12 + 25/100
So we get
= 12.25

(ii) 7 1/8
It can be written as
= 7 + 1/8
In order to make denominator 1000
Multiply and divide by 125
We get
= 7 + [(1/8) × (125/125)]
On further calculation
= 7 + 125/1000

So we get
= 7.125

(iii) 5 1/20
It can be written as
= 5 + 1/20
In order to make denominator 100
Multiply and divide by 5
We get
= 5 + [(1/20) × (5/5)]
On further calculation
= 5 + 5/100
So we get
= 5.05

5. Write each of the following decimals as fractions. Reduce the fractions to lowest form:
(i) 0.04
(ii) 2.34
(iii) 0.342
(iv) 1.20
(v) 17.38
Solution:

(i) 0.04
It can be written as
= 0 + 0.04
We get
= 0 + 4 hundredths
On further calculation
= 0 + 4/100
So we get
= 1/25

(ii) 2.34
It can be written as
= 2 + 0.34
We get
= 2 + 34 hundredths
On further calculation
= 2 + 34/100
So we get
= 2 × (100/100) + 34/100
By further simplification
= 200/100 + 34/100
= 234/100
By division
= 117/50

(iii) 0.342
Page 4

Exercise 7.3                                                                          page: 7.14
1. Write each of the following as decimals:
(i) Five hundred twenty five and forty hundredths.
(ii) Twelve and thirty five thousandths
(iii) Fifteen and seventeen thousandths
(iv) Eighty eight and forty eight hundredths
Solution:

(i) Five hundred twenty five and forty hundredths
It can be written as
525 + 40/100 = 525.40

(ii) Twelve and thirty five thousandths
It can be written as
12 + 35/1000 = 12.035

(iii) Fifteen and seventeen thousandths
It can be written as
15 + 17/1000 = 15.017

(iv) Eighty eight and forty eight hundredths
It can be written as
88 + 48/100 = 88.48

2. Write each of the following as decimals:
(i) 137 + 5/100
(ii) 20 + 9 + 4/100
Solution:

(i) 137 + 5/100
We know that
1 hundred, 3 tens, 7 ones and 5 hundredths
Hence, the decimal is 137.05.

(ii) 20 + 9 + 4/100
We know that
2 tens, 9 ones and 4 hundredths
Hence, the decimal is 29.04.

3. Write each of the following as decimals:
(i) 8/100
(ii) 300/1000
(iii) 18/1000
(iv) 208/100
(v) 888/1000
Solution:

(i) 8/100
We know that 8/100 = 0.08

Hence, the decimal is 0.08.

(ii) 300/1000
We know that 300/1000 = 3/10
So 3 tenths
Hence, the decimal is 0.3.

(iii) 18/1000
We know that 18/1000 = 0.018
Hence, the decimal is 0.018.

(iv) 208/100
We know that 208/100 = 200/100 + 8/100
So 2 and 8 hundredths
Hence, the decimal is 2.08.

(v) 888/1000
We know that 888/1000 = 800/1000 + 80/1000 + 8/1000
We get
= 8/10 + 8/100 + 8/1000
So 8 tenths, 8 hundredths and 8 thousandths
Hence, the decimal is 0.888.

4. Write each of the following as decimals:
(i) 12 1/4
(ii) 7 1/8
(iii) 5 1/20
Solution:

(i) 12 1/4
It can be written as
= 12 + 1/4
In order to make denominator 100
Multiply and divide by 25
We get
= 12 + [(1/4) × (25/25)]
On further calculation
= 12 + 25/100
So we get
= 12.25

(ii) 7 1/8
It can be written as
= 7 + 1/8
In order to make denominator 1000
Multiply and divide by 125
We get
= 7 + [(1/8) × (125/125)]
On further calculation
= 7 + 125/1000

So we get
= 7.125

(iii) 5 1/20
It can be written as
= 5 + 1/20
In order to make denominator 100
Multiply and divide by 5
We get
= 5 + [(1/20) × (5/5)]
On further calculation
= 5 + 5/100
So we get
= 5.05

5. Write each of the following decimals as fractions. Reduce the fractions to lowest form:
(i) 0.04
(ii) 2.34
(iii) 0.342
(iv) 1.20
(v) 17.38
Solution:

(i) 0.04
It can be written as
= 0 + 0.04
We get
= 0 + 4 hundredths
On further calculation
= 0 + 4/100
So we get
= 1/25

(ii) 2.34
It can be written as
= 2 + 0.34
We get
= 2 + 34 hundredths
On further calculation
= 2 + 34/100
So we get
= 2 × (100/100) + 34/100
By further simplification
= 200/100 + 34/100
= 234/100
By division
= 117/50

(iii) 0.342

It can be written as
= 0 + 0.342
We get
= 0 + 342 thousandths
On further calculation
= 342/1000
So we get
= 171/500

(iv) 1.20
It can be written as
= 1 + 0.20
We get
= 1 + 20 hundredths
On further calculation
= 100/100 + 20/100
So we get
= 120/100
By division
= 6/5

(v) 17.38
It can be written as
= 17 + 0.38
We get
= 17 + 38 hundredths
On further calculation
= 17 + 38/100
So we get
= 17 × (100/100) + 38/100
By further simplification
= 1700/100 + 38/100
= 1738/100
By division
= 869/50

6. Write each of the following as decimals:
(i) 20 + 9 + 40/10 + 1/100
(ii) 30 + 4/10 + 8/100 + 3/1000
(iii) 137 + 5/100
(iv) 7/10 + 6/100 + 4/1000
(v) 23 + 2/10 + 6/1000
(vi) 700 + 20 + 5 + 9/100
Solution:

(i) 20 + 9 + 40/10 + 1/100
We know that
2 tens, 9 ones, 4 tenths and 1 hundredths
Hence, the decimal is 29.41.
Page 5

Exercise 7.3                                                                          page: 7.14
1. Write each of the following as decimals:
(i) Five hundred twenty five and forty hundredths.
(ii) Twelve and thirty five thousandths
(iii) Fifteen and seventeen thousandths
(iv) Eighty eight and forty eight hundredths
Solution:

(i) Five hundred twenty five and forty hundredths
It can be written as
525 + 40/100 = 525.40

(ii) Twelve and thirty five thousandths
It can be written as
12 + 35/1000 = 12.035

(iii) Fifteen and seventeen thousandths
It can be written as
15 + 17/1000 = 15.017

(iv) Eighty eight and forty eight hundredths
It can be written as
88 + 48/100 = 88.48

2. Write each of the following as decimals:
(i) 137 + 5/100
(ii) 20 + 9 + 4/100
Solution:

(i) 137 + 5/100
We know that
1 hundred, 3 tens, 7 ones and 5 hundredths
Hence, the decimal is 137.05.

(ii) 20 + 9 + 4/100
We know that
2 tens, 9 ones and 4 hundredths
Hence, the decimal is 29.04.

3. Write each of the following as decimals:
(i) 8/100
(ii) 300/1000
(iii) 18/1000
(iv) 208/100
(v) 888/1000
Solution:

(i) 8/100
We know that 8/100 = 0.08

Hence, the decimal is 0.08.

(ii) 300/1000
We know that 300/1000 = 3/10
So 3 tenths
Hence, the decimal is 0.3.

(iii) 18/1000
We know that 18/1000 = 0.018
Hence, the decimal is 0.018.

(iv) 208/100
We know that 208/100 = 200/100 + 8/100
So 2 and 8 hundredths
Hence, the decimal is 2.08.

(v) 888/1000
We know that 888/1000 = 800/1000 + 80/1000 + 8/1000
We get
= 8/10 + 8/100 + 8/1000
So 8 tenths, 8 hundredths and 8 thousandths
Hence, the decimal is 0.888.

4. Write each of the following as decimals:
(i) 12 1/4
(ii) 7 1/8
(iii) 5 1/20
Solution:

(i) 12 1/4
It can be written as
= 12 + 1/4
In order to make denominator 100
Multiply and divide by 25
We get
= 12 + [(1/4) × (25/25)]
On further calculation
= 12 + 25/100
So we get
= 12.25

(ii) 7 1/8
It can be written as
= 7 + 1/8
In order to make denominator 1000
Multiply and divide by 125
We get
= 7 + [(1/8) × (125/125)]
On further calculation
= 7 + 125/1000

So we get
= 7.125

(iii) 5 1/20
It can be written as
= 5 + 1/20
In order to make denominator 100
Multiply and divide by 5
We get
= 5 + [(1/20) × (5/5)]
On further calculation
= 5 + 5/100
So we get
= 5.05

5. Write each of the following decimals as fractions. Reduce the fractions to lowest form:
(i) 0.04
(ii) 2.34
(iii) 0.342
(iv) 1.20
(v) 17.38
Solution:

(i) 0.04
It can be written as
= 0 + 0.04
We get
= 0 + 4 hundredths
On further calculation
= 0 + 4/100
So we get
= 1/25

(ii) 2.34
It can be written as
= 2 + 0.34
We get
= 2 + 34 hundredths
On further calculation
= 2 + 34/100
So we get
= 2 × (100/100) + 34/100
By further simplification
= 200/100 + 34/100
= 234/100
By division
= 117/50

(iii) 0.342

It can be written as
= 0 + 0.342
We get
= 0 + 342 thousandths
On further calculation
= 342/1000
So we get
= 171/500

(iv) 1.20
It can be written as
= 1 + 0.20
We get
= 1 + 20 hundredths
On further calculation
= 100/100 + 20/100
So we get
= 120/100
By division
= 6/5

(v) 17.38
It can be written as
= 17 + 0.38
We get
= 17 + 38 hundredths
On further calculation
= 17 + 38/100
So we get
= 17 × (100/100) + 38/100
By further simplification
= 1700/100 + 38/100
= 1738/100
By division
= 869/50

6. Write each of the following as decimals:
(i) 20 + 9 + 40/10 + 1/100
(ii) 30 + 4/10 + 8/100 + 3/1000
(iii) 137 + 5/100
(iv) 7/10 + 6/100 + 4/1000
(v) 23 + 2/10 + 6/1000
(vi) 700 + 20 + 5 + 9/100
Solution:

(i) 20 + 9 + 40/10 + 1/100
We know that
2 tens, 9 ones, 4 tenths and 1 hundredths
Hence, the decimal is 29.41.

(ii) 30 + 4/10 + 8/100 + 3/1000
We know that
3 tens, 4 tenths, 8 hundredths and 3 thousandths
Hence, the decimal is 30.483.

(iii) 137 + 5/100
We know that
1 hundred, 3 tens, 7 ones and 5 hundredths
Hence, the decimal is 137.05.

(iv) 7/10 + 6/100 + 4/1000
We know that
7 tenths, 6 hundredths and 4 thousandths
Hence, the decimal is 0.764.

(v) 23 + 2/10 + 6/1000
We know that
2 tens, 3 ones, 2 tenths and 6 thousandths
Hence, the decimal is 23.206.

(vi) 700 + 20 + 5 + 9/100
We know that
7 hundreds, 2 tens, 5 ones and 9 hundredths
Hence, the decimal is 725.09.

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## Mathematics (Maths) Class 6

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