Decimals (Exercise 7.1) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download

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Exercise 7.1                                                                                  page: 7.4 
1. Write the following decimals in the place value table: 
(i) 52.5 
(ii) 12.57 
(iii) 15.05 
(iv) 74.059 
(v) 0.503 
Solution: 
 
 
 
2. Write the decimals shown in the following place value table: 
 
Solution: 
 
(i) We can write it as 307.12 
 
(ii) We can write it as 9543.025 
 
(iii) We can write it as 12.503 
 
3. Write each of the following decimals in words: 
(i) 175.04 
(ii) 0.21 
(iii) 9.004 
(iv) 0.459 
Solution: 
 
(i) 175.04 can be written as one hundred seventy five and four hundredths. 
 
(ii) 0.21 can be written as zero and twenty one hundredths. 
 
(iii) 9.004 can be written as nine and four thousandths. 
 
(iv) 0.459 can be written as zero and four hundred fifty nine thousandths. 
 
4. Write each of the following as decimals: 
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Exercise 7.1                                                                                  page: 7.4 
1. Write the following decimals in the place value table: 
(i) 52.5 
(ii) 12.57 
(iii) 15.05 
(iv) 74.059 
(v) 0.503 
Solution: 
 
 
 
2. Write the decimals shown in the following place value table: 
 
Solution: 
 
(i) We can write it as 307.12 
 
(ii) We can write it as 9543.025 
 
(iii) We can write it as 12.503 
 
3. Write each of the following decimals in words: 
(i) 175.04 
(ii) 0.21 
(iii) 9.004 
(iv) 0.459 
Solution: 
 
(i) 175.04 can be written as one hundred seventy five and four hundredths. 
 
(ii) 0.21 can be written as zero and twenty one hundredths. 
 
(iii) 9.004 can be written as nine and four thousandths. 
 
(iv) 0.459 can be written as zero and four hundred fifty nine thousandths. 
 
4. Write each of the following as decimals: 
 
 
 
 
 
 
(i) 65 + 2/10 + 7/100 
(ii) 45 + 9/100 
(iii) 88 + 5/10 + 2/1000 
(iv) 3/10 + 7/1000 
Solution: 
 
(i) 65 + 2/10 + 7/100 
In the above question 
We know that 
6 tens, 5 ones, 2 tenths and 7 hundredths 
Hence, the decimal number is 65.27. 
 
(ii) 45 + 9/100 
In the above question 
We know that 
4 tens, 5 ones and 9 hundredths 
Hence, the decimal number is 45.09. 
 
(iii) 88 + 5/10 + 2/1000 
In the above question 
We know that 
8 tens, 8 ones, 5 tenths and 2 thousandths 
Hence, the decimal number is 88.502. 
 
(iv) 3/10 + 7/1000 
In the above question 
We know that 
3 tenths and 7 thousandths 
Hence, the decimal number is 0.307. 
 
5. Write each of the following as decimals: 
(i) Five and four tenths 
(ii) Twelve and four hundredths 
(iii) Nine and Seven hundred five thousandths 
(iv) Zero point five two six 
(v) Forty seven and six thousandths 
(vi) Eight thousandths 
(vii) Nineteen and nineteen hundredths. 
Solution: 
 
(i) Five and four tenths 
It can be written as 
5 + 4/10 = 5.4 
 
(ii) Twelve and four hundredths 
It can be written as 
12 + 4/100 = 12.04 
 
(iii) Nine and Seven hundred five thousandths 
It can be written as 
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Exercise 7.1                                                                                  page: 7.4 
1. Write the following decimals in the place value table: 
(i) 52.5 
(ii) 12.57 
(iii) 15.05 
(iv) 74.059 
(v) 0.503 
Solution: 
 
 
 
2. Write the decimals shown in the following place value table: 
 
Solution: 
 
(i) We can write it as 307.12 
 
(ii) We can write it as 9543.025 
 
(iii) We can write it as 12.503 
 
3. Write each of the following decimals in words: 
(i) 175.04 
(ii) 0.21 
(iii) 9.004 
(iv) 0.459 
Solution: 
 
(i) 175.04 can be written as one hundred seventy five and four hundredths. 
 
(ii) 0.21 can be written as zero and twenty one hundredths. 
 
(iii) 9.004 can be written as nine and four thousandths. 
 
(iv) 0.459 can be written as zero and four hundred fifty nine thousandths. 
 
4. Write each of the following as decimals: 
 
 
 
 
 
 
(i) 65 + 2/10 + 7/100 
(ii) 45 + 9/100 
(iii) 88 + 5/10 + 2/1000 
(iv) 3/10 + 7/1000 
Solution: 
 
(i) 65 + 2/10 + 7/100 
In the above question 
We know that 
6 tens, 5 ones, 2 tenths and 7 hundredths 
Hence, the decimal number is 65.27. 
 
(ii) 45 + 9/100 
In the above question 
We know that 
4 tens, 5 ones and 9 hundredths 
Hence, the decimal number is 45.09. 
 
(iii) 88 + 5/10 + 2/1000 
In the above question 
We know that 
8 tens, 8 ones, 5 tenths and 2 thousandths 
Hence, the decimal number is 88.502. 
 
(iv) 3/10 + 7/1000 
In the above question 
We know that 
3 tenths and 7 thousandths 
Hence, the decimal number is 0.307. 
 
5. Write each of the following as decimals: 
(i) Five and four tenths 
(ii) Twelve and four hundredths 
(iii) Nine and Seven hundred five thousandths 
(iv) Zero point five two six 
(v) Forty seven and six thousandths 
(vi) Eight thousandths 
(vii) Nineteen and nineteen hundredths. 
Solution: 
 
(i) Five and four tenths 
It can be written as 
5 + 4/10 = 5.4 
 
(ii) Twelve and four hundredths 
It can be written as 
12 + 4/100 = 12.04 
 
(iii) Nine and Seven hundred five thousandths 
It can be written as 
 
 
 
 
 
 
9 + 705/1000 = 9.705 
 
(iv) Zero point five two six 
It can be written as 
0.526 
 
(v) Forty seven and six thousandths 
It can be written as 
47 + 6/1000 = 47.006 
 
(vi) Eight thousandths 
It can be written as 
8/1000 = 0.008 
 
(vii) Nineteen and nineteen hundredths 
It can be written as 
19 + 19/100 = 19.19