The students who aspire to score well in the exams can take the help of RD Sharma Solutions for Class 6. Exercise 7.3 of Chapter 7 has problems which help to determine the hundredths and thousandths place in the given set of questions. These problems are answered by subject experts with explanations in simple language to make learning fun for the students. To know more about the concepts which are covered in this exercise, students can use the RD Sharma Solutions for Class 6 Maths Chapter 7 Decimals Exercise 7.3 PDF, which is given here.
RD Sharma Solutions for Class 6 Maths Chapter 7: Decimals Exercise 7.3
Access answers to Maths RD Sharma Solutions for Class 6 Chapter 7: Decimals Exercise 7.3
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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