Decimals - Exercise 7.3 Class 6 Notes | EduRev

Mathematics (Maths) Class 6

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

 Page 1


 
 
 
 
 
 
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 
By addition 
= 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 
By addition 
= 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 
By addition 
= 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 
By addition 
= 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 
By addition 
= 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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