Selina Concise Solutions for Chapter 4 Decimal Fractions (Decimals) Class 7 ICSE Mathematics
Exercise 4 (A)
1. Convert the following into fractions in their lowest terms :
(i) 3.75
(ii) 0.5
(iii) 2.04
(iv) 0.65
(v) 2.405
(vi) 0.085
(vii) 8.025
Answer
2. Convert into decimal fractions
Answer
3. Write the number of decimal places in :
(i) 0.4762
(ii) 7.00349
(iii) 8235.403
(iv) 35.4
(v) 2.608
(vi) 0.000879
Answer
(i) In 0.4762, there are four places.
(ii) In 7.00349, there are five places.
(iii) In 8235.403, there are three places.
(iv) In 35.4, there is one place.
(v) In 2.608, there are three places.
(vi) In 0.000879, there are six places.
4. Write the following decimals as word statements :
(i) 0.4,0.9,0.1
(ii) 1.9, 4.4, 7.5
(iii) 0.02, 0.56, 13.06
(iv) 0.005,0.207, 111.519
(v) 0.8, 0.08, 0.008, 0.0008
(vi) 256.1, 10.22, 0.634
Answer
(i) 0.4 = zero point four, 0.9 = zero point nine, 0.1 = zero point one.
(ii) 1 .9 = one point nine, 4.4 = four point four, 7.5 = seven point five.
(iii) 0.02 = zero point zero two, 0.56 = zero point five six, 13.06 = thirteen point zero six.
(iv) 0.005 = zero point zero zero five, 0.207 = zero point two zero seven, 111.519 = one
hundred eleven point five one nine.
(v) 0.8 = zero point eight, 0.08 = zero point zero eight, 0.008 = zero point zero zero
eight, 0.0008 = zero point zero zero zero eight
(vi) 256.1 = Two hundred fifty six point one, 10.22 = Ten point two two, 0.634 = zero
point six three four.
5. Convert the given fractions into like fractions:
(i) 0.5,3.62,43.987 and 232.0037
(ii) 215.78, 33.0006, 530.3 and 0.03569
Answer
(i) 0.5, 3.62, 43.987 and 232.0037
In these decimals, the greatest places of decimal is 4
∴0.5 = 0.5000
3.62 = 3.6200
43.987 = 43.9870
232.0037 = 232.0037
(ii) 215.78, 33.0006, 530.3 and 0.03569
In these decimals, the greatest places of decimal is 5
∴ 215.78 = 215.78000
33.0006 = 33.00060
530.3 = 530.30000
0.03569 = 0.03569
Exercise 4 (B)
1. Add:
(i) 0.5 and 0.37 (ii) 3.8 and 8.7
(iii) 0.02, 0.008 and 0.309
(iv) 0. 4136, 0. 3195 and 0.52
(v) 9.25, 3.4 and 6.666
(vi) 3.007, 0.587 and 18.341
(vii) 0.2, 0.02 and 2.0002
(viii) 6. 08, 60.8, 0.608 and 0.0608
(ix) 29.03, 0.0003, 0.3 and 7.2
(x) 3.4, 2.025, 9.36 and 3.6221
Answer
2. Subtract the first number from the second :
(i) 5.4, 9.8
(ii) 0.16, 4.3
(iii) 0.82, 8.6
(v) 2.237, 9.425
(vi) 41 .03, 59.46
(vii) 3.92. 26.86
(viii) 4.73, 8.5
(ix) 12.63, 36.2
(x) 0.845, 3.71
Answer
3. Simplify :
(i) 28.796 -13.42 – 2.555
(ii) 93.354 – 62.82 – 13.045
(iii) 36 – 18.59 – 3.2
(iv) 86 + 16.95 – 3.0042
(v) 32.8 – 13 – 10.725 +3.517
(vi) 4000 – 30.51 – 753.101 – 69.43
(vii) 0.1835 + 163.2005 – 25.9 – 100
(viii) 38.00 – 30 + 200.200 – 0.230
(ix) 555.555 + 55.555 – 5.55 – 0.555
Answer
(i) 28.796 - 13.42 -2.555
= 28.976 - (13.42 + 2.555)
= 28.796 - 15.975
= 28.976 - (13.42 + 2.555)
= 28.796 - 15.975
= 12.821
(ii) 93.354 - 62.82 - 13.045
= 93.354 - (62.82 + 13.045)
= 93.354 - 75.865
= 93.354 - (62.82 + 13.045)
= 93.354 - 75.865
= 17.489
(iii) 36 - 18.59 - 3.2
= 36 -(18.59 + 3.2)
= 36 - 21.79
= 36 -(18.59 + 3.2)
= 36 - 21.79
= 14.21
(iv) 86 + 16.95 - 3.0042
= 102.95 - 3.0042 = 99.9458
= 102.95 - 3.0042 = 99.9458
(v) 32.8 - 13 - 10.725 + 3.517
= (32.8 + 3.517) - (13 + 10.725)
= 36.317 - 23.725 = 12.592
= (32.8 + 3.517) - (13 + 10.725)
= 36.317 - 23.725 = 12.592
(vi) 4000 - 30.51 - 753.101 - 69.43
= 4000 - (30.51 + 753.101 + 69.43)
= 4000 - 853.041
(vii) 0.1835 + 163.2005 - 25.9 - 100
= (0.1835 + 163.2005) - (25.9 + 100)
= 163.3840 - 125.9 = 37.484
= (0.1835 + 163.2005) - (25.9 + 100)
= 163.3840 - 125.9 = 37.484
(viii) 38.00 - 30 + 200.200 - 0.230
= (38.00 + 200.200) -(30 + 0.230)
= 238.200 - 30.230
= 207.970 = 207.97
= 238.200 - 30.230
= 207.970 = 207.97
(ix) 555.555 + 55.555 - 5.55 - 0.555
= (555.555 + 55.555) - (5.55 + 0.555)
= 611.110 - 6.105 = 605.005
= (555.555 + 55.555) - (5.55 + 0.555)
= 611.110 - 6.105 = 605.005
4. Find the difference between 6.85 and 0.685.
Answer
Difference between 6.85 and 0.685
= 6.85 - 0.685
= 6.85 - 0.685
= 6.165
5. Take out the sum of 19.38 and 56.025 then subtract it from 200.111 .
Answer
Answer
Sum of 19.38 + 56.025 = 75.405
6. Add 13.95 and 1.003; and from the result, subtract the sum of 2.794 and 6.2 .
Answer
Sum of 13.95 and 1.003
= 13.95 + 1.003 = 14.953
= 13.95 + 1.003 = 14.953
7. What should be added to 39.587 to give 80.375 ?
Answer
Sum = 80.375
Given number = 39.587
∴ The number which is to be added
= 80.375 - 39.587 = 40.788
Given number = 39.587
∴ The number which is to be added
= 80.375 - 39.587 = 40.788
8. What should be subtracted from 100 to give 19.29 ?
Answer
Sum = 100
The number = 19.29
∴ The number which is to be subtracted
= 100 - 19.29 = 80.71
The number = 19.29
∴ The number which is to be subtracted
= 100 - 19.29 = 80.71
9. What is the excess of 584.29 over 213.95 ?
Answer
Total = 584.29
Given number = 213.95
Required difference = 584.29 - 213.95 = 370.34
Given number = 213.95
Required difference = 584.29 - 213.95 = 370.34
10. Evaluate :
(i) (5.4 - 0.8) + (2.97 - 1.462)
(ii) (6.25 + 0.36) - (17.2 - 8.97)
(iii) 9.004 + (3 - 2.462)
(iv) 879.4 - (87.94 - 8.794)
(i) (5.4 - 0.8) + (2.97 - 1.462)
(ii) (6.25 + 0.36) - (17.2 - 8.97)
(iii) 9.004 + (3 - 2.462)
(iv) 879.4 - (87.94 - 8.794)
Answer
11. What is the excess of 75 over 48.29 ?
Answer
Excess of 75 over 48.29
12. If A = 237.98 and B = 83.47 .
Find :
(i) A - B
(ii) B - A .
Find :
(i) A - B
(ii) B - A .
Answer
(i) A - B
A = 237.98
B = 83.47
⇒ A - B = 154.51
A = 237.98
B = 83.47
⇒ A - B = 154.51
= 83.47 - 237.98
= -154.51
(vii) 4.6 × 2.1 = 9.66
(viii) 0.568 × 6.4 = 3.6352
= 7644 ÷ 1400
13. The cost of one kg of sugar increases from ₹28.47 to ₹32.65. Find the increase in cost.
Answer
Initial cost of sugar = ₹ 28.47
Increase cost of sugar = ₹ 32.65
∴ Increase of sugar in cost = ₹5.18
Increase cost of sugar = ₹ 32.65
∴ Increase of sugar in cost = ₹5.18
Exercise 4 (C)
1. Multiply:
(i) 0.87 by 10
(ii) 2.948 by 100
(iii) 6.4 by 1000
(iv) 5.8 by 4
(v) 16.32 by 28
(vi) 5. 037 by 8
(vi) 4.6 by 2.1
(viii) 0.568 by 6.4
Answer
(i) 0.87 × 10 = 8.7
(ii) 2.948 × 100 = 294.8
(iii) 6.4 × 1000 = 6400
(iv) 5.8 × 4 = 23.2
(v) 16.32 × 32 = 456.96
(vi) 5.037 × 8 = 40.296(ii) 2.948 × 100 = 294.8
(iii) 6.4 × 1000 = 6400
(iv) 5.8 × 4 = 23.2
(v) 16.32 × 32 = 456.96
(vii) 4.6 × 2.1 = 9.66
(viii) 0.568 × 6.4 = 3.6352
2. Multiply each number by 10, 100, 1000 :
(i) 0.5
(ii) 0.112
(iii) 4.8
(iv) 0.0359
(v) 16.27
(vi) 234.8
Answer
(i) 0.5 × 10 = 5,
⇒ 0.5× 100 = 50,
⇒ 0.5 × 1000 = 500
(ii) 0.112 × 10 = 1.12,
⇒ 0.112 × 100 =11.2,
⇒ 0.112 × 1000 = 112
(iii) 4.8 × 10 = 48,
⇒ 4.8 × 100 = 480,
⇒ 4.8 × 1000 = 4800
(iv) 0.0359 × 10 = 0.359,
⇒ 0.0359 × 100 = 3.59,
⇒ 0.0359 × 1000 = 35-9
(v) 16.27 × 10 = 162.7,
⇒ 16.27 × 100 = 1627,
⇒ 16.27 × 1000 = 16270
(vi) 234.8 × 10 = 2348,
⇒ 234.8 × 100 = 23480,
⇒ 234.8 × 1000 = 234800
3. Evaluate:
(i) 5.897 × 2.3
(ii) 0.894 × 87
(iii) 0.01 × 0.001
(iv) 0.84 × 2.2 × 4
(v) 4.75 × 0.08 × 3
(vi) 2.4 × 3.5 × 4.8
(vii) 0.8 × 1.2 × 0.25
(viii) 0.3 × 0.03 × 0.003
(ix) 12.003 × (0.2)5
Answer
4. Divide :
(i) 54.9 by 10
(ii) 7.8 by 100
(iii) 324.76 by 1000
(iv) 12.8 by 4
(v) 27.918 by 9
(vi) 4.672 by 8
(vii) 4.32 by 1.2
(viii) 7.644 by 1.4
(ix) 4.8432 by 0.08
Answer
(i) 54.9 ÷ 10 = 5.49
(ii) 7.8 ÷ 100 = 0.078
(iii) 324.76 ÷ 1000 = 0.32476
(iv) 12.8 ÷ 4 = 3.2
(v) 27.918 ÷ 9 = 3.102
(vi) 4.672÷ 8 = 0.584
(vii) 4.32 ÷ 1.2
= 432 ÷ 120
(ii) 7.8 ÷ 100 = 0.078
(iii) 324.76 ÷ 1000 = 0.32476
(iv) 12.8 ÷ 4 = 3.2
(v) 27.918 ÷ 9 = 3.102
(vi) 4.672÷ 8 = 0.584
(vii) 4.32 ÷ 1.2
= 432 ÷ 120
= 3.6
(viii) 7.644 ÷ 1.4= 7644 ÷ 1400
=5.46
9. Find the cost of 36.75 kg wheat at the rate of ₹12.80 per kg.
10. The cost of a pen is ₹ 56.15. Find the cost of 16 such pens.
(iii) 6 ÷ 5 = 1.2
Hence it is terminating decimal.
(v) 12.5 ÷ 4 = 3.125
Hence it is terminating decimal.
3. Convert into vulgar fraction :
3. One kilogramme of oil costs Rs. 73.40 . Find the cost of 9.75 kilogramme of the oil.
(iii) 6.25 of 8.4 - 4.7 of 3.24
= 52.500 - 15.228 = 37.272
(ix) 4.8432 ÷ 0.08
= 48432 ➗ 800
= 48432 ➗ 800
= 60.54
5. Divide each of the given numbers by 10, 100, 1000 and 10000
(i) 2.1
(ii) 8.64
(iii) 5.01
(iv) 0.0906
(v) 0.125
(vi) 111.11
(vii) 0.848 × 3
(viii) 4.906 × (0.2)2
(ix) (1.2)2 × (0.9)2
(i) 2.1
(ii) 8.64
(iii) 5.01
(iv) 0.0906
(v) 0.125
(vi) 111.11
(vii) 0.848 × 3
(viii) 4.906 × (0.2)2
(ix) (1.2)2 × (0.9)2
Answer
(i) 2.1 ÷ 10 = 0.21
2.1 ÷ 100 = 0.021
2.1 ÷ 1000 = 0.0021
2.1 ÷ 10000 = 0.00021
2.1 ÷ 100 = 0.021
2.1 ÷ 1000 = 0.0021
2.1 ÷ 10000 = 0.00021
(ii) 8.64 ÷ 10 = 0.864
8.64 ÷100 = 0.0864
8.64 ÷ 1000 = 0.00864
8.64 ÷ 10000 = 0.000864
8.64 ÷ 1000 = 0.00864
8.64 ÷ 10000 = 0.000864
(iii) 5.01 ÷ 10 = 0.501,
5.01 ÷ 100 = 0.0501
5.01 ÷ 1000 = 0.00501
5.01 ÷ 10000 = 0.000501
5.01 ÷ 100 = 0.0501
5.01 ÷ 1000 = 0.00501
5.01 ÷ 10000 = 0.000501
(iv) 0.0906 ÷ 10 = 0.00906
0.0906 ÷ 100 = 0.000906
0.0906 ÷ 1000 = 0.0000906
0.0906 ÷ 10000 = 0.00000906
0.0906 ÷ 100 = 0.000906
0.0906 ÷ 1000 = 0.0000906
0.0906 ÷ 10000 = 0.00000906
(v) 0.125 ÷ 10 = 0.0125
0.125 ÷ 100 = 0.00125
0.125 ÷ 1000 = 0.000125
0.125 ÷ 10000 = 0.0000125
0.125 ÷ 100 = 0.00125
0.125 ÷ 1000 = 0.000125
0.125 ÷ 10000 = 0.0000125
(vi) 111.11 ÷ 10 = 11.111
111.11 ÷ 100 = 1.1111
111.11 ÷ 1000 = 0.11111
111.11 ÷ 10000 = 0.011111
111.11 ÷ 100 = 1.1111
111.11 ÷ 1000 = 0.11111
111.11 ÷ 10000 = 0.011111
(vii) 0.848 × 3 = 2.544
2.544 ÷10 = 0.2544
2.544 ÷ 100 = 0.02544
2.544 ÷ 1000 = 0.002544
2.544 ÷ 10000 = 0.0002544
2.544 ÷10 = 0.2544
2.544 ÷ 100 = 0.02544
2.544 ÷ 1000 = 0.002544
2.544 ÷ 10000 = 0.0002544
(viii) 4.906 × (0.2)2 = 4.906 × 0.2 × 0.2
= 4.906 × 0.04 = 0.19624
= 0.19624 ÷ 10 = 0.019624
= 0.19624 ÷ 100 = 0.0019624
= 0.19624 ÷ 1000 = 0.00019624
= 0.19624 ÷ 10000 = 0.000019624
= 4.906 × 0.04 = 0.19624
= 0.19624 ÷ 10 = 0.019624
= 0.19624 ÷ 100 = 0.0019624
= 0.19624 ÷ 1000 = 0.00019624
= 0.19624 ÷ 10000 = 0.000019624
(ix) (1.2)2 × (0.9)2 = 1.2×1.2×0.9×0.9 = 1.44×0.81 = 1.1664
1.1664 ÷ 10 = 0.11664
1.1664 ÷ 100 = 0.011664
1.1664 ÷ 1000 = 0.0011664
1.1664 ÷ 10000 = 0.00011664
1.1664 ÷ 10 = 0.11664
1.1664 ÷ 100 = 0.011664
1.1664 ÷ 1000 = 0.0011664
1.1664 ÷ 10000 = 0.00011664
6. Evaluate :
(i) 9.75 ÷ 5
(ii) 4.4064 ÷ 4
(iii) 27.69 ÷ 30
(iv) 19.25 ÷ 25
(v) 20.64 ÷ 16
(vi) 3.204 ÷ 9
(vii) 0.125 ÷ 25
(viii) 0.14616 ÷ 72
(ix) 0.6227 ÷ 1300
(x) 257.894 ÷ 0.169
(xi) 6.3 ÷ (0.3)3
(ii) 4.4064 ÷ 4
(iii) 27.69 ÷ 30
(iv) 19.25 ÷ 25
(v) 20.64 ÷ 16
(vi) 3.204 ÷ 9
(vii) 0.125 ÷ 25
(viii) 0.14616 ÷ 72
(ix) 0.6227 ÷ 1300
(x) 257.894 ÷ 0.169
(xi) 6.3 ÷ (0.3)3
Answer
= 6.3 ÷ (0.3 × 0.3)
= 6.3 ÷ (0.09)
= 6.3 ÷ (0.09)
= 630 ÷ 09
= 630 ÷ 9
= 630 ÷ 9
= 70
7. Evaluate:
(i) 4.3 × 0.52 × 0.3
(ii) 3.2 × 2.5 × 0.7
(iii) 0.8 × 1.5 × 0.6
(iv) 0.3 × 0.3 × 0.3
(v) 1.2 × 1.2 × 0.4
(vi) 0.4 × 0.04 × 0.004
(vii) 0.5 × 0.6 × 0.7
(Viii) 0.5 × 0.06 × 0.007
Answer
(i) 4.3 × 0.52 × 0.3
(ii) 3.2 × 2.5 × 0.7
(iii) 0.8 × 1.5 × 0.6
(Sum of decimal places = 1+1+1 = 3)
∴ 0.8 × 1.5 × 0.6 = 0.720 or 0.72
∴ 0.8 × 1.5 × 0.6 = 0.720 or 0.72
(iv) 0.3 × 0.3 × 0.3
(v) 1.2 × 1.2 × 0.4
(vi) 0.4 × 0.04 × 0.004
(Sum of decimal places = 1+2+3= 6)
∴ 0.4 × 0.04 × 0.004 = 0.000064
∴ 0.4 × 0.04 × 0.004 = 0.000064
(vii) 0.5 × 0.6 × 0.7
(viii) 0.5 × 0.06 × 0.007
8. Evaluate:
(i) (0.9)2
(ii) (0.6)2 × 0.5
(iii) 0.3 × (0.5)2
(iv) (0.4)3
(v) (0.2)3 × 5
(vi) (0.2)3 × 0.05
Answer (i) (0.9)2
⇒ 0.9 × 0.9 = 0.81
(Sum of decimal places 1 + 1= 2)
(ii) (0.6)2 × 0.5
⇒ 0.6 × 0.6 × 0.5
⇒ 0.36 × 0.5 = 0.180 or 0.18
(Sum of decimal places = 1 + 1 + 1 = 3)
(iii) 0.3 × (0.5)2
⇒ 0.3 × 0.5 × 0.5
⇒ 0.3 × 0.25 = 0.075
(Sum of decimal places 1 + 1 + 1 = 3)
(iv) (0.4)3
⇒ 0.4 × 0.4 × 0.4
⇒ 0.16 × 0.4 = 0.064
(Sum of decimal places 1 + 1 + 1 = 3)
(v) (0.2)3 × 5
⇒ 0.2 × 0.2 × 0.2 × 5
⇒ 0.08 × 5 = 0.40 or 0.4
(Sum of decimal places 1 + 1 + 1 = 3)
(vi) (0.2)3 × 0.05
⇒ 0.2 × 0.2 × 0.2 × 0.05
⇒ 0.008 × 0.05 = 0.00040
(Sum of decimal places = 5)
Answer
Total weight of wheat = 36.75 kg
Cost of 1 kg of wheat = ₹ 12.80
∴ Cost of 36.75 kg of wheat
= 36.75 × 12.80 = ₹ 470.40
Cost of 1 kg of wheat = ₹ 12.80
∴ Cost of 36.75 kg of wheat
= 36.75 × 12.80 = ₹ 470.40
10. The cost of a pen is ₹ 56.15. Find the cost of 16 such pens.
Answer
Cost of one pen = ₹ 56.15
∴ Cost of 16 pens
= ₹ 56.15 × 16 = ₹ 898.40
∴ Cost of 16 pens
= ₹ 56.15 × 16 = ₹ 898.40
11. Evaluate:
(i) 0.0072 ÷ 0.06
(ii) 0.621 ÷ 0.3
(iii) 0.0532 ÷ 0.005
(iv) 0.01162 ÷ 0.14
(v) (7.5 × 40.4) ÷ 25
(vi) 2.1 ÷ (0.1 × 0.1)
Answer
(i) 0.0072 ÷ 0.06
12. Fifteen identical articles weigh 31.50 kg. Find the weight of each article.
Answer
Weight of 15 articles = 31.50 kg
∴ Weight of one article
= 31.50- 15 = 2.1 kg
13. The product of two numbers is 211.2. If one of these two numbers is 16.5, find the
other number.
Answer
The product of two numbers = 211.2
one number = 16.5
∴ Second number = 211.2 ÷ 16.5
= (211.2 × 10)/(16.5×10
= 2112/165 = 12.8
one number = 16.5
∴ Second number = 211.2 ÷ 16.5
= (211.2 × 10)/(16.5×10
= 2112/165 = 12.8
14. One dozen identical articles cost ₹45.96. Find the cost of each article.
Answer
∴ Weight of one dozen articles = ₹45.96
One dozen = 12
∴ Cost of one article = 45.96 + 12 = ₹3.83
Exercise 4 (D)
1. Find whether the given division forms a terminating decimal or a non-terminating
decimal:
(i) 3 ÷ 8
(ii)8 ÷ 3
(iii) 6÷ 5
(iv) 5 ÷ 6
(v) 12.5 ÷ 4
(vi) 23 ÷ 0.7
(vii) 42 ÷ 9
(viii) 0.56 ÷ 0.11
Answer
(i) 3 ÷ 8 = 0.375
Hence it is terminating decimal.
Hence it is terminating decimal.
(ii) 8 ÷ 3 = 2.666....
Hence it is non - terminating decimal.
Hence it is non - terminating decimal.
(iii) 6 ÷ 5 = 1.2
Hence it is terminating decimal.
(iv) 5 ÷ 6 = 0.8333.....
Hence it is non - terminating decimal .
Hence it is non - terminating decimal .
(v) 12.5 ÷ 4 = 3.125
Hence it is terminating decimal.
(vi) 23 ÷ 0.7
= 230 ÷ 7
= 32.8571428.......
Hence it is non - terminating decimal.
Hence it is non - terminating decimal.
(vii) 42 ÷ 9 = 4.666.....
Hence it is non - terminating decimal.
Hence it is non - terminating decimal.
(viii) 0.56 ÷ 0.11
= 56 ÷ 11
= 5.0909.....
Hence it is non - terminating decimal .
2. Express as recurring decimals :
Answer
3. Convert into vulgar fraction :
(i) 0. 3
(i) 0. 8
(i) 4. 4
(i) 23. 7
Answer
4. Convert into vulgar fraction :
(i) 0. 35
(i) 2. 23
(i) 1. 28
(i) 5. 234
Answer
5. Convert into vulgar fraction :
(i) 0. 37
(i) 0. 245
(i) 0. 685
(i) 0. 442
Answer
Exercise 4 (E)
1. Round off:
(i) 0 .07, 0.112, 3.59, 9.489 to the nearest tenths.
(ii) 0.627, 100.479, 0 065 and 0.024 to the nearest hundredths.
(iii) 4.83,0.86,451 .943 and 9.08 to the nearest whole number.
Answer
(i) 0.07 = 0.1,
0.112 = 0.1
3.59 = 3.6,
9.489 = 9.5
(ii) 0.627 = 0.63,
100.479 = 100.48
0.065 = 0.07,
0.024 = 0.02
(iii) 4.83 = 5,
0.86= 1,
451.943 = 452
9.08 = 9
2. Simplify, and write your answers correct to the nearest hundredths :
(i) 18 .35 × 1.2
(ii) 62.89 × 0.02
Answer
(i) 18. 32 × 1.2 = 22.02
(ii) 62.89 × 0.02 = 1.2578 = 1.26
3. Write the number of significant figures (digits) in :
(i) 35.06
(ii) 0.35
(iii) 7.0068
(iv) 19 .0
(v) 0.0062
(vi) 0 4.2 × 0.6
(vii) 0.08 × 25
(viii) 3.6 ÷ 0.12 .
Answer
(i) 35.06 : In this significant figures i.e. digits are 4
(ii) In 0.35, significant figures are 2
(iii) In 7.0068, significant figures are 5
(iv) In 19.0, significant figures are 3
(v) In 0.0062, significant figures are 2
(vi) In 4.2 × 0.6 = 2.52, significant figure are 3
(vii) In 008 × 25 = 2.00 = 2 significant figure is 1
(viii) In 3.6 ÷ 0 .12 or 360 ÷ 12 = 30, significant figure are 2.
4. Write :
(i) 35.869,0 008426,4.952 and 382.7, correct lo three significant figures.
(ii) 60.974. 2.8753, 0.001789 and 400.04, correct to four significant figures.
(iii) 14.29462, 19.2, 46356.82 and 69, correct to five significant figures.
Answer
(i) Correct to three significant figures are
35.869 → 35.9
0.008426 → 0.00843
4. 952 → 4.95
382.7 →383
(ii) Correct to four significant figures
60.974 → 60.97
2. 8753 → 2.875
0.001789 → 0.001789
400.04 → 400.0
(iii) Correct to five significant figures
14.29462 → 14.295
19.2 → 19.200
46356.82 → 46357
69 → 69.000
Exercise 4 (F)
1. The weight of an object is 3 .06 kg. Find the total weight of 48 similar objects.
Answer
Weight of one object = 3.06 kg
∴ Weight of 48 objects = 3.06 × 48 = 146.88 kg
∴ Weight of 48 objects = 3.06 × 48 = 146.88 kg
2. Find die cost of 17.5 m cloth at the rate of Rs. 112.50 per metre.
Answer
Cost of 1 metre cloth = Rs. 112.50
∴ Cost of 17.5 m cloth
= Rs. 112.50 × 17.5
= Rs. 1968.750
= 1968.75
∴ Cost of 17.5 m cloth
= Rs. 112.50 × 17.5
= Rs. 1968.750
= 1968.75
Answer
Cost of 1 kg oil = Rs. 73.40
∴ Cost of 9.75 kg oil = Rs. 73.40 × 9.75
= Rs. 715.6500
= Rs. 715.65
∴ Cost of 9.75 kg oil = Rs. 73.40 × 9.75
= Rs. 715.6500
= Rs. 715.65
4. Total weight of 8 identical objects is 51.2 kg. Find the weight of each object.
Answer
Weight of 8 objects = 51.2 kg
∴ Weight of 1 object = 51.2/8 kg = 6.4 kg
5. 18.5 m of cloth costs Rs. 666. Find the cost of 3.8 m cloth.
Answer
Cost of 18.5 m cloth = Rs. 666
Cost of 1 m cloth = Rs. 666 ÷18.5 and cost of 3.8 m cloth
= Rs. (666 ÷18.5)× 3.8
= Rs. (6660 ÷ 185)× 3.8
= Rs. 36×3.8
= Rs. 136.80
6. Find die value of:
(i) 0.5 of Rs. 7.60 + 1.62 of Rs. 30
(ii) 2.3 of 7.3 kg + 0.9 of 0.48 kg
(iii) 6.25 of 8.4 – 4.7 of 3.24
(iv) 0.98 of 235 – 0 .09 of 3.2
Answer
(i) 0.5 of Rs. 7.60 + 1.62 of Rs. 30
= Rs. 3.80 + Rs. 48.60
= Rs. 52.40
= Rs. 3.80 + Rs. 48.60
= Rs. 52.40
(ii) 2.3 of 7.3 kg + 0.9 of 0.48 kg
= 16.79 kg + 0.432 kg = 17.222 kg
= 16.79 kg + 0.432 kg = 17.222 kg
(iii) 6.25 of 8.4 - 4.7 of 3.24
= 52.500 - 15.228 = 37.272
(iv) 0.98 of 235 - 0.09 of 3.2 = 230.30 - 0.288 = 230.012
7. Evaluate:
(i) 5.6 – 1 .5 of 3.4
(ii) 4.8 ÷ 0.04 of 5
(iii) 0.72 of 80 + 0.2
(iv) 0.72 ÷ 80 of 0.2
(v) 6.45 + (3.9 – 1.75)
(vi) 0.12 of(0.104 – 0.02)+ 0.36×0.5
Answer
(i) 5.6 - 1.5 of 3.4
= 5.6 - 5.1
(ii) 4.8 ÷ 0.04 of 5
= 4.8 ÷ 0.20
= 4.8 ÷ 0.2
= 4.8 ÷ 0.2
= 48 ÷ 2
= 24
(iii) 0.72 of 80 ÷ 0.2
= 57.60 ÷ 0.2
= 57.6 ÷ 0.2
= 57.6 ÷ 0.2
= 576 ÷ 2
= 288
(iv) 0.72 ÷ 80 of 0.2
= 0.72 ÷ 16.0
= 0.72 ÷ 16
= 0.72 ÷ 16
=72 ÷ 1600
(v) 6.45 ÷ (3.9 - 1.75)
= 6.45 ÷ (3.90 - 1.75)
= 6.45 ÷ 2.15
= 6.45 ÷ 2.15
= 645 ÷ 215
= 3
(vi) 0.12 of (0.104 - 0.02) + 0.36×0.5
= 0.12 of 0.084 + 0.36×0.5
= 0.01008 + 0.180
= 0.12 of 0.084 + 0.36×0.5
= 0.01008 + 0.180
= 0.19008