Selina Solutions Concise Mathematics Class 6 Chapter 15 Decimal Fractions Exercise 15(B) help students, giving detailed steps to be followed in addition and subtraction of decimals. Subject experts at BYJU’S, help students with accurate answers for reference purposes while exam preparation. Selina Solutions is the best study material, which assists them to secure more marks in the exams. To boost the problem solving abilities of students, Selina Solutions Concise Mathematics Class 6 Chapter 15 Decimal Fractions Exercise 15(B), PDF links are mentioned here for free download.
Selina Solutions Concise Mathematics Class 6 Chapter 15: Decimal Fractions Exercise 15(B) Download PDF
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Access Selina Solutions Concise Mathematics Class 6 Chapter 15: Decimal Fractions Exercise 15(B)
Exercise 15(B)
1. Add the following:
(i) 0.243, 2.47 and 3.009
(ii) 0.0736, 0.6095 and 0.9107
(iii) 1.01, 257 and 0.200
(iv) 18, 200.35, 11.72 and 2.3
(v) 0.586, 0.0586 and 0.00586
Solution:
To add the decimal number, first convert the decimals into like decimal numbers and then add
(i) 0.243, 2.47 and 3.009
To add 0.243, 2.47 and 3.009,
Convert the decimals into like decimals by adding zeros
Like decimals are 0.243, 2.470 and 3.009
0.243
2.470 +
3.009 +
__________
5.722
___________
Hence, the addition of the given decimal numbers is 5.722
(ii) 0.0736, 0.6095 and 0.9107
To add 0.0736, 0.6095 and 0.9107
Here, all the numbers are like decimal numbers
0.0736
0.6095 +
0.9107 +
___________
1.5938
___________
Hence, the addition of the given numbers is 1.5938
(iii) 1.01, 257 and 0.200
To add 1.01, 257 and 0.200
Convert the decimals into like decimal by adding zeros
Like decimals are 1.010, 257.000 and 0.200
1.010
257.000 +
0.200 +
____________
258.210
____________
Hence, the addition of the given decimal numbers is 258.210
(iv) 18, 200.35, 11.72 and 2.3
To add 18, 200.35, 11.72 and 2.3
Convert the decimals into like decimals by adding zeros
Like decimals are 18.00, 200.35, 11.72 and 2.30
18.00
200.35 +
11.72 +
2.30 +
____________
232.37
____________
Hence, the addition of the given decimal numbers is 232.37
(v) 0.586, 0.0586 and 0.00586
To add 0.586, 0.0586 and 0.00586
Convert the decimals into like decimals by adding zeros
Like decimals are 0.58600, 0.05860 and 0.00586
0.58600
0.05860 +
0.00586 +
___________
0.65046
___________
Hence, the addition of the given decimal numbers is 0.65046
2. Find the value of:
(i) 6.8 – 2. 64
(ii) 2 – 1.0304
(iii) 0.1 – 0.08
(iv) 0.83 – 0.342
Solution:
To subtract the decimal numbers, first convert the decimal into like decimal numbers and then subtract
(i) 6.8 – 2. 64
Convert the decimals into like decimal numbers by adding zeros
Like decimals are 6.80 and 2.64
6.80 –
2.64
________
4.16
_________
Hence, the subtraction of the decimal numbers is 4.16
(ii) 2 – 1.0304
Convert the decimals into like decimal numbers by adding zeros
Like decimals are 2.0000 and 1.0304
2.0000 –
1.0304
__________
0.9696
___________
Hence, the subtraction of the decimal numbers is 0.9696
(iii) 0.1 – 0.08
Convert the decimals into like decimal numbers by adding zeros
Like decimals are 0.10 and 0.08
0.10
0.08 –
_________
0.02
_________
Hence, the subtraction of the decimal numbers is 0.02
(iv) 0.83 – 0.342
Convert the decimals into like decimal numbers by adding zeros
Like decimals are 0.830 and 0.342
0.830
0.342 –
__________
0.488
___________
Hence, the subtraction of the decimal numbers is 0.488
3. Subtract:
(i) 0.43 from 0.97
(ii) 2.008 from 22.1058
(iii) 0.18 from 0.6
(iv) 1.002 from 17
(v) 83 from 92.05
Solution:
To subtract the decimal numbers, first convert the decimals into like decimal numbers and then subtract
(i) 0.43 from 0.97
The given decimals are like decimals
0.97
0.43 –
________
0.54
_________
Hence, the subtraction of the decimal numbers is 0.54
(ii) 2.008 from 22.1058
To subtract 2.008 from 22.1058
Convert the decimals into like decimals by adding zeros
Like decimals are 22.1058 and 2.0080
22.1058
2.0080 –
_________
20.0978
__________
Hence, the subtraction of the decimal numbers is 20.0978
(iii) 0.18 from 0.6
To subtract 0.18 from 0.6
Convert the decimals into like decimals by adding zeros
Like decimals are 0.60 and 0.18
0.60
0.18 –
_________
0.42
__________
Hence, the subtraction of the decimal numbers is 0.42
(iv) 1.002 from 17
To subtract 1.002 from 17
Convert the decimals into like decimals by adding zeros
Like decimals are 17.000 and 1.002
17.000
1.002 –
_________
15.998
__________
Hence, the subtraction of the decimal numbers is 15.998
(v) 83 from 92.05
To subtract 83 from 92.05
Convert the decimals into like decimals by adding zeros
Like decimals are 92.05 and 83.00
92.05
83.00 –
__________
9.05
___________
Hence, the subtraction of the decimal numbers is 9.05
4. Simplify:
(i) 3.5 – 2.43 + 0.075
(ii) 7.84 + 0.3 – 4.016
(iii) 2.987 – 1.25 – 0.54
(iv) 52.9 – 231.666 + 204
(v) 8.57 – 6.4432 – 1.70 + 0.683
Solution:
To simplify the expression, first convert the decimal numbers into like decimals and perform addition and subtraction
(i) 3.5 – 2.43 + 0.075
To simplify 3.5 – 2.43 + 0.075
Convert the decimals into like decimal numbers
Like decimals are 3.500, 2.430 and 0.075
= 3.500 – 2.430 + 0.075
= 3.500 + 0.075 – 2.430
= 3.575 – 2.430
= 1.145
Therefore, the simplification of the given expression is 1.145
(ii) 7.84 + 0.3 – 4.016
To simplify 7.84 + 0.3 – 4.016
Convert the decimals into like decimal numbers
Like decimals are 7.840, 0.300 and 4.016
= 7.840 + 0.300 – 4.016
= 8.140 – 4.016
= 4.124
Therefore, the simplification of the given expression is 4.124
(iii) 2.987 – 1.25 – 0.54
To simplify 2.987 – 1.25 – 0.54
Convert the decimals into like decimal numbers
Like decimals are 2.987, 1.250 and 0.540
= 2.987 – 1.250 – 0.540
= 1.737 – 0.540
= 1.197
Therefore, the simplification of the given expression is 1.197
(iv) 52.9 – 231.666 + 204
To simplify 52.9 – 231.666 + 204
Convert the decimals into like decimal numbers
Like decimals are 52.900, 231.666 and 204.000
= 52.900 – 231.666 + 204.000
= 256.900 – 231.666
= 25.234
Therefore, the simplification of the given expression is 25.234
(v) 8.57 – 6.4432 – 1.70 + 0.683
To simplify 8.57 – 6.4432 – 1.70 + 0.683
Convert the decimals into like decimal numbers
Like decimals are 8.5700, 6.4432, 1.7000 and 0.6830
= 8.5700 – 6.4432 – 1.7000 + 0.6830
= 9.253 – 8.1432
= 1.1098
Therefore, the simplification of the given expression is 1.1098
5. From the sum of 75.75 and 4.9 subtract 28.465
Solution:
To subtract 28.465 from the sum of 75.75 and 4.9
To add 75.75 and 4.9
Convert the numbers into like decimal numbers
Like decimals are 75.75 and 4.90
75.75
4.90 +
___________
80.65
____________
Now, to subtract 28.465 from 80.65
Convert the numbers into like decimal numbers
Like decimals are 28.465 and 80.650
80.650
28.465 –
___________
52.185
____________
Hence, the simplification of the sum and subtraction is 52.185
6. Subtract the sum of 8.14 and 12.9 from 32.7
Solution:
To subtract the sum of 8.14 and 12.9 from 32.7
To add 8.14 and 12.9
Convert the numbers into like decimal numbers
Like decimals are 8.14 and 12.90
8.14
12.90 +
____________
21.04
_____________
To subtract 21.04 from 32.7
Convert the numbers into like decimal numbers
Like decimals are 21.04 and 32.70
32.70
21.04 –
___________
11.66
____________
Therefore, the simplification of the sum and subtraction is 11.66
7. Subtract the sum of 34.27 and 159.8 from the sum of 20.937 and 200.6
Solution:
To subtract the sum of 34.27 and 159.8 from the sum of 20.937 and 200.6
To add 34.27 and 159.8
Convert the numbers into like decimal numbers
Like decimals are 34.27 and 159.80
34.27
159.80 +
____________
194.07
____________
To add 20.937 and 200.6 convert the numbers into like decimal numbers
Like decimals are 20.937 an 200.600
20.937
200.600 +
____________
221.537
_____________
To subtract 194.07 from 221.537
Convert the numbers into like decimal numbers
221.537
194.070 –
____________
27.467
_____________
Hence, the subtraction of above decimal numbers is 27.467
8. From the sum of 2.43 and 4.349 subtract the sum of 0.8 and 3.15
Solution:
To subtract the sum of 0.8 and 3.15 from sum of 2.43 and 4.349
To add 0.8 and 3.15
Convert the numbers into like decimal numbers
Like decimals are 0.80 and 3.15
0.80
3.15 +
_________
3.95
__________
To add 2.43 and 4.349
Convert the numbers into like decimal numbers
2.430
4.349 +
___________
6.779
____________
To subtract 3.95 from 6.779
Convert the numbers into like decimal numbers
6.779
3.950 –
_______________
2.829
________________
Therefore, the subtraction of above decimal numbers is 2.829
9. By how much does the sum of 18.0495 and 34.9644 exceed the sum of 7.6752 and 24.876?
Solution:
To obtain the difference between the sum of 18.0495 and 34.9644 and the sum of 7.6752 and 24.876
Now, to add 18.0495 and 34.9644
Convert the numbers into like decimal numbers
The given decimals are like decimals
18.0495
34.9644 +
____________
53.0139
____________
Now, to add 7.6752 and 24.876
Convert the numbers into like decimal numbers
Like decimals are 7.6752 and 24.8760
7.6752
24.8760 +
__________
32.5512
___________
To subtract 32.5512 from 53.0139
Convert the numbers into like decimal numbers
The given decimals are like decimals
53.0139
32.5512 –
__________
20.4627
___________
Hence, the sum exceed the other decimal numbers by 20.4627
10. What least number must be added to 89.376 to get 1000?
Solution:
The number to be added to 89.376 to get 1000
Subtract 89.376 from 1000
Convert the decimals into like decimal numbers
Like decimals are 89.376 and 1000.000
1000.000
89.376 –
__________
910.624
___________
Therefore, the number to be added to 89.376 to obtain 1000 is 910.624
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