Selina Solutions Concise Mathematics Class 6 Chapter 15 Decimal Fractions Exercise 15(C) help students with the fundamental concepts of multiplication and division of decimal numbers. Students can clear their doubts instantly, by referring to the solutions PDF. The Solutions are prepared by subject experts, keeping in mind the important questions that would appear in the exams. Students can boost their logical thinking in solving complex problems with the help of solutions PDF. Selina Solutions Concise Mathematics Class 6 Chapter 15 Decimal Fractions Exercise 15(C), PDF links which are provided here
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Access Selina Solutions Concise Mathematics Class 6 Chapter 15: Decimal Fractions Exercise 15(C)
Exercise 15(C)
1. Multiply:
(i) 5.6 and 8
(ii) 38.46 and 9
(iii) 0.943 and 62
(iv) 0.0453 and 35
(v) 7.5 and 2.5
Solution:
(i) 5.6 and 8
The multiplication of 5.6 and 8 is as follows
5.6 × 8 = 44.8
Hence, 5.6 × 8 = 44.8
(ii) 38.46 and 9
The multiplication of 38.46 and 9 is as follows
38.46 × 9 = 346.14
Hence, 38.46 × 9 = 346.14
(iii) 0.943 and 62
The multiplication of 0.943 and 62 is as follows
943
62 ×
________
1886
5658×
________
58466
________
We know that,
.943 × 62 = 58.466
Hence 0.943 × 62 = 58.466
(iv) 0.0453 and 35
The multiplication of 0.0453 and 35 is as follows
453
35×
_________
2265
1359×
__________
15855
___________
We know that,
453 × 35 = 15855
Hence 0.0453 × 35 = 1.5855
(v) 7.5 and 2.5
The multiplication of 7.5 and 2.5 is as follows
75
25 ×
________
375
150×
_________
1875
_________
We know that,
75 × 25 = 1875
Hence 7.5 × 2.5 = 18.75
2. Evaluate:
(i) 0.0008 × 26
(ii) 0.038 × 95
(iii) 1.2 × 2.4 × 3.6
(iv) 0.9 × 1.8 × 0.27
(v) 1.5 × 1.5 × 1.5
Solution:
(i) 0.0008 × 26
Since,
8 × 26 =208
0.0008 × 26 = 0.0208
∴ We get 0.0208 on multiplying 0.0008 × 26
(ii) 0.038 × 95
38
95×
_______
190
342×
________
3610
________
Since,
38 × 95 = 3610
.038 × 95 = 3.610
= 3.61
∴ We get 3.61 on multiplying 0.038 × 95
(iii) 1.2 × 2.4 × 3.6
12
24 ×
_______
48
24×
_________
288
36 ×
__________
1728
864×
_________
10368
_________
Since,
12 × 24 × 36 = 10368
1.2 × 2.4 × 3.6 = 10.368
∴ We get 10.368 on multiplying 1.2 × 2.4 × 3.6
(iv) 0.9 × 1.8 × 0.27
9
18 ×
_______
72
9×
_________
162
27 ×
________
1134
324 ×
_________
4374
_________
Since,
9 × 18 × 27 = 4374
0.9 × 1.8 × 0.27 = 0.4374
∴ We get 0.4374 on multiplying 0.9 × 1.8 × 0.27
(v) 1.5 × 1.5 × 1.5
15
15 ×
________
75
15 ×
_________
225
15 ×
__________
1125
225 ×
__________
3375
___________
Since,
15 × 15 × 15 = 3375
1.5 × 1.5 × 1.5 = 3.375
3. Multiply each of the following numbers by 10, 100 and 1000:
(i) 3.9
(ii) 2.89
(iii) 0.0829
(iv) 40.3
(v) 0.3725
Solution:
(i) 3.9
3.9 × 10 = 39
3.9 × 100 = 390
3.9 × 1000 = 3900
Hence, 39, 390 and 3900 are the required numbers
(ii) 2.89
2.89 × 10 = 28.9
2.89 × 100 = 289
2.89 × 1000 = 2890.00
= 2890
Hence, 28.9, 289 and 2890 are the required numbers
(iii) 0.0829
0.0829 × 10 = 0.829
0.0829 × 100 = 8.29
0.0829 × 1000 = 82.9
Hence, 0.829, 8.29 and 82.9 are the required numbers
(iv) 40.3
40.3 × 10 = 403
40.3 × 100 = 4030
40.3 × 1000 = 40300
Hence, 403, 4030 and 40300 are the required numbers
(v) 0.3725
0.3725 × 10 = 3.725
0.3725 × 100 = 37.25
0.3725 × 1000 = 372.5
4. Evaluate:
(i) 8.64 ÷ 8
(ii) 0.0072 ÷ 6
(iii) 20.64 ÷ 16
(iv) 1.602 ÷ 15
(v) 13.08 ÷ 4
Solution:
(i) 8.64 ÷ 8
8.64 ÷ 8 = 8.64 / 8
We get
= 1.08
Therefore, the value of 8.64 ÷ 8 = 1.08
(ii) 0.0072 ÷ 6
0.0072 ÷ 6 = (0.0072) / 6
We get
= 0.0012
Therefore, the value of 0.0072 ÷ 6 = 0.0012
(iii) 20.64 ÷ 16
20.64 ÷ 16 = (20.64) / 16
We get
= 1.29
Therefore, the value of 20.64 ÷ 16 = 1.29
(iv) 1.602 ÷ 15
1.602 ÷ 15 = (1.602) / 15
We get
1602 / (1000 × 15)
We get
= 106.8 / 1000
= 0.1068
Therefore, the value of 1.602 ÷ 15 = 0.1068
(v) 13.08 ÷ 4
13.08 ÷ 4 = 13.08 / 4
We get
= 3.27
Therefore, the value of 13.08 ÷ 4 = 3.27
5. Divide each of the following numbers by 10, 100 and 1000:
(i) 49.79
(ii) 0.923
(iii) 0.0704
Solution:
(i) 49.79
49.79 / 10 = 4.979
49.79 / 100 = 0.4979
49.79 / 1000 = 0.04979
Therefore, the required numbers are 4.979, 0.4979 and 0.04979
(ii) 0.923
0.923 / 10 = 0.0923
0.923 / 100 = 0.00923
0.923 / 1000 = 0.000923
Therefore, the required numbers are 0.0923, 0.00923 and 0.000923
(iii) 0.0704
0.0704 / 10 = 0.00704
0.0704 / 100 = 0.000704
0.0704 / 1000 = 0.0000704
Therefore, the required numbers are 0.00704, 0.000704 and 0.0000704
6. Evaluate:
(i) 9.4 ÷ 0.47
(ii) 6.3 ÷ 0.09
(iii) 2.88 ÷ 1.2
(iv) 8.64 ÷ 1.6
(v) 37.188 ÷ 3.6
Solutions:
(i) 9.4 ÷ 0.47
= 9.4 / 0.47
= (94 × 100) / (47 × 10)
On calculating further, we get
= 2 × 10
= 20
Hence, 9.4 ÷ 0.47 = 20
(ii) 6.3 ÷ 0.09
= 6.3 / 0.09
= (63 × 100) / (9 × 10)
We get
= 6300 / 90
= 630 / 9
= 70
Hence, 6.3 ÷ 0.09 = 70
(iii) 2.88 ÷ 1.2
= 2.88 / 1.2
= (288 × 10) / (12 × 100)
We get,
= 2880 / 1200
= 288 / 120
= 2.4
Hence, 2.88 ÷ 1.2 = 2.4
(iv) 8.64 ÷ 1.6
= 8.64 / 1.6
= (8.64 × 10) / (1.6 × 10)
We get,
= 86.4 / 16
= 5.4
Hence, 8.64 ÷ 1.6 = 5.4
(v) 37.188 ÷ 3.6
= 37.188 / 3.6
= (37188 × 10) / (36 × 1000)
We get,
= 371880 / 36000
= 2066 / 200
= 1033 / 100
= 10.33
7. Fill in the blanks with 10, 100, 1000, or 10000 etc:
(i) 7.85 × ……… = 78.5
(ii) 0.442 × ………. = 442
(iii) 0.0924 × ………. = 9.24
(iv) 0.00187 × ……… = 18.7
(v) 2.6 × …….. = 2600
Solution:
(i) 7.85 × 10 = 78.5
(ii) 0.442 × 1000 = 442
(iii) 0.0924 × 100 = 9.24
(iv) 0.00187 × 10000 = 18.7
(v) 2.6 × 1000 = 2600
8. Evaluate:
(i) 9.32 – 28.54 ÷ 10
(ii) 0.234 × 10 + 62.8
(iii) 3.06 × 100 – 889.4 ÷ 100
(iv) 2.86 × 7.5 + 45.4 ÷ 0.2
(v) 97. 82 × 0.03 – 0.54 ÷ 0.3
Solution:
(i) 9.32 – 28.54 ÷ 10
= 9.32 – 2.854
So, we get
= 9.320 – 2.854
= 6.466
Therefore, 9.32 – 28.54 ÷ 10 = 6.466
(ii) 0.234 × 10 + 62.8
Using BODMAS, we get
= 2.34 + 62.80
= 65.14
Therefore, 0.234 × 10 + 62.8 = 65.14
(iii) 3.06 × 100 – 889.4 ÷ 100
Using BODMAS, we get
= 3.06 × 100 – 8.894
= 306 – 8.894
= 306.000 – 8.894
= 297.106
(iv) 2.86 × 7.5 + 45.4 ÷ 0.2
Using BODMAS, we get
= 2.86 × 7.5 + 454 ÷ 2
On further calculation, we get
= 2.86 × 7.5 + 227.00
= (286 / 100) × (75 / 10) + 227.00
= (286 / 4) × (3 / 10) + 227.00
= (143 / 2) × (3 / 10) + 227.00
We get,
= 429 / 20 + 227.00
= 21.45 + 227.00
= 248.45
(v) 97. 82 × 0.03 – 0.54 ÷ 0.3
= 97.82 × 0.03 – 0.54 / 0.3
= 97.82 × 0.03 – (0.54 × 10) / (0.3 × 10)
On further calculation, we get
= 2.9346 – 5.4 / 3
= 2.9346 – 1.8
= 2.9346 – 1.8000
We get,
= 1.1346
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