RS Aggrawal 2019 2020 Solutions for Class 6 Maths Chapter 7 Decimals are provided here with simple step-by-step explanations. These solutions for Decimals are extremely popular among class 6 students for Maths Decimals Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggrawal 2019 2020 Book of class 6 Maths Chapter 7 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RS Aggrawal 2019 2020 Solutions. All RS Aggrawal 2019 2020 Solutions for class 6 Maths are prepared by experts and are 100% accurate.
Page No 113:
Answer:
(i) 58.63
(ii) 124.425
(iii) 7.76
(iv) 19.8
(v) 404.044
(vi) 0.173
(vii) 0.015
Page No 113:
Answer:
(i) In 14.83, we have:
Place value of 1 = 1 tens = 10
Place value of 4 = 4 ones = 4
Place value of 8 = 8 tenths =
Place value of 3 = 3 hundredths =
(ii) In 275.269, we have:
Place value of 2 = 2 hundreds = 200
Place value of 7 = 7 tens = 70
Place value of 5 = 5 ones = 5
Place value of 2 = 2 tenths =
Place value of 6 = 6 hundredths =
Place value of 9 = 9 thousandths =
(iii) In 46.075, we have:
Place value of 4 = 4 tens = 40
Place value of 6 = 6 ones = 6
Place value of 0 = 0 tenths = = 0
Place value of 7 = 7 hundredths =
Place value of 5 = 5 thousandths =
(iv) In 302.459, we have:
Place value of 3 = 3 hundreds = 300
Place value of 0 = 0 tens = 0
Place value of 2 = 2 ones = 2
Place value of 4 = 4 tenths =
Place value of 5 = 5 hundredths =
Place value of 9 = 9 thousandths =
(v) In 5370.34, we have:
Place value of 5 = 5 thousands = 5000
Place value of 3 = 3 hundreds = 300
Place value of 7 = 7 tens = 70
Place value of 0 = 0 ones = 0
Place value of 3 = 3 tenths =
Place value of 4 = 4 hundredths =
(vi) In 186.209, we have:
Place value of 1 = 1 hundreds = 100
Place value of 8 = 8 tens = 80
Place value of 6 = 6 ones = 6
Place value of 2 = 2 tenths =
Place value of 0 = 0 hundredths = 0
Place value of 9 = 9 thousandths =
Page No 113:
Answer:
(i) 67.83
= 6 tens + 7 ones + 8 tenths + 3 hundredths
=
(ii) 283.61
= 2 hundreds + 8 tens + 3 ones + 6 tenths + 1 hundredths
=
(iii) 24.675
= 2 tens + 4 ones + 6 tenths + 7 hundredths + 5 thousandths
=
(iv) 0.294
= 2 tenths + 9 hundredths + 4 thousandths
=
(v) 8.006
= 8 ones + 0 tenths + 0 hundredths + 6 thousandths
=
(vi) 4615.72
= 4 thousands + 6 hundreds + 1 tens + 5 ones + 7 tenths + 2 hundredths
=
Page No 113:
Answer:
(i) = 46 + 0.7 + .09 = 46.79
(ii) = 578 + 0.3 + 0.01 + 0.006 = 578.316
(iii) = 731 + 0.8 + 0.04 = 731.84
(iv) = 605 + 0.07 + 0.009 = 605.079
(v) = 805 + 0.8 + 0.006 = 805.806
(vi) = 39 + 0.04 + 0.008 = 39.048
Page No 114:
Answer:
(i) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
7.5 = 7.500
64.23 = 64.230
0.074 = 0.074
(ii) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
0.6 = 0.600
5.937 = 5.937
2.36 = 2.360
4.2 = 4.200
(iii) Each of the numbers has maximum 2 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
1.6 = 1.60
0.07 = 0.07
3.58 = 3.58
2.9 = 2.90
(iv) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
2.5 = 2.500
0.63 = 0.630
14.08 = 14.080
1.637 = 1.637
Page No 114:
Answer:
(i) 84.23 > 76.35
Since 84 is greater than 76, 84.23 is greater than 76.35. (Comparing the whole number parts)
(ii) 7.608 < 7.680
Since 8 is greater than 0 at the hundredths place, 7.608 is smaller than 7.680.
(iii) 8.34 < 8.43
Since 4 is greater than 3 at the tenths place, 8.34 is smaller than 8.43.
(iv) 12.06 > 12.006
Since 6 is greater than 0 at the hundredths place, 12.06 is greater than 12.006.
(v) 3.850 > 3.805
Since 5 is greater than 0 at the hundredths place, 3.850 is greater than 3.805.
(vi) 0.97 < 1.07
Since 1 is greater than 0, 0.97 is smaller than 1.07. (Comparing the whole number parts)
Page No 114:
Answer:
(i) 5.8, 7.2, 5.69, 7.14, 5.06
Converting the given decimals into like decimals:
5.80, 7.20, 5.69, 7.14, 5.06
Clearly, 5.06 < 5.69 < 5.80 < 7.14 < 7.20
Hence, the given decimals can be arranged in the ascending order as follows:
5.06, 5.69, 5.80, 7.14 and 7.2
(ii) 0.6, 6.6, 6.06, 66.6, 0.06
Converting the given decimals into like decimals:
0.60, 6.60, 6.06, 66.60, 0.06
Clearly, 0.06 < 0.60 < 6.06 < 6.60 < 66.60
Hence, the given decimals can be arranged in the ascending order as follows:
0.06, 0.60, 6.06, 6.60 and 66.60
(iii) 6.54, 6.45, 6.4, 6.5, 6.05
Converting the given decimals into like decimals:
6.54, 6.45, 6.40, 6.50, 6.05
Clearly, 6.05 < 6.40 < 6.45 < 6.50 < 6.54
Hence, the given decimals can be arranged in the ascending order as follows:
6.05, 6.40, 6.45, 6.50 and 6.54
(iv) 3.3, 3.303, 3.033, 0.33, 3.003
Converting the given decimals into like decimals:
3.300, 3.303, 3.033, 0.330, 3.003
Clearly, 0.330 < 3.003 < 3.033 < 3.300 < 3.303
Hence, the given decimals can be arranged in the ascending order as follows:
0.33, 3.003, 3.033, 3.300 and 3.303
Page No 114:
Answer:
(i) 7.3, 8.73, 73.03, 7.33, 8.073
Converting each decimal into like decimals:
7.300, 8.730, 73.030, 7.330, 8.073
Clearly, 73.030 > 8.730 > 8.073 > 7.330 > 7.300
Hence, the given decimals can be arranged in the descending order as follows:
73.03, 8.73, 8.073, 7.33 and 7.3
(ii) 3.3, 3.03, 30.3, 30.03, 3.003
Converting each decimal into like decimals:
3.300, 3.030, 30.300, 30.030, 3.003
Clearly, 30.300 > 30.030 > 3.300 > 3.030 > 3.003
Hence, the given decimals can be arranged in the descending order as follows:
30.3, 30.03, 3.3, 3.03 and 3.003
(iii) 2.7, 7.2, 2.27, 2.72, 2.02, 2.007
Converting each decimal into like decimals:
2.700, 7.200, 2.270, 2.720, 2.020, 2.007
Clearly, 7.200 > 2.720 > 2.700 > 2.270 > 2.020 > 2.007
Hence, the given decimals can be arranged in the descending order as follows:
7.2, 2.72, 2.7, 2.27, 2.02 and 2.007
(iv) 8.88, 8.088, 88.8, 88.08, 8.008
Converting each decimal into like decimals:
8.880, 8.088, 88.800, 88.080, 8.008
Clearly, 88.800 > 88.080 > 8.880 > 8.088 > 8.008
Hence, the given decimals can be arranged in the descending order as follows:
88.8, 88.08, 8.88, 8.088 and 8.008
Page No 118:
Answer:
We have:
.9 =
Page No 118:
Answer:
We have:
0.6 =
Page No 118:
Answer:
We have:
0.08 =
Page No 118:
Answer:
We have:
0.15 =
Page No 118:
Answer:
We have:
0.48 =
Page No 118:
Answer:
We have:
0.053 =
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Answer:
We have:
0.125 =
Page No 118:
Answer:
We have:
0.224 =
Page No 118:
Answer:
We have:
6.4 =
Page No 118:
Answer:
We have:
16.5 =
Page No 118:
Answer:
We have:
8.36 =
Page No 118:
Answer:
We have:
4.275 =
Page No 118:
Answer:
We have:
25.06 =
Page No 118:
Answer:
We have:
7.004 =
Page No 118:
Answer:
We have:
2.052 =
Page No 118:
Answer:
We have:
3.108 =
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
We have:
Page No 118:
Answer:
(i) 8 kg 640 g in kilograms:
8 kg + 640 gm = 8 kg + kg
8 kg + 0.640 kg = 8.640 kg
(ii) 9 kg 37 g in kilograms:
9 kg + 37 gm = 9 kg + kg
9 kg + 0.037 kg = 9.037 kg
(iii) 6 kg 8 g in kilograms:
6 kg + 8 gm = 6 kg + kg
6 kg + 0.008 kg = 6.008 kg
Page No 118:
Answer:
(i) 4 km 365 m in kilometres:
4 km + 365 m = 4 km + km [Since 1 km = 1000 m]
4 km + 0.365 km = 4.365 km
(ii) 5 km 87 m in kilometres:
5 km + 87 m = 5 km + km [Since 1 km = 1000 m]
5 km + 0.087 km = 5.087 km
(iii) 3 km 6 m in kilometres:
3 km + 6 m = 3 km + km [Since 1 km = 1000 m]
3 km + 0.006 km = 3.006 km
(iv) 270 m in kilometres:
km = 0.270 km [Since 1 km = 1000 m]
(v) 35 m in kilometres:
km = 0.035 km [Since 1 km = 1000 m]
(vi) 6 m in kilometres:
km = 0.006 km [Since 1 km = 1000 m]
Page No 118:
Answer:
(i) 15 kg 850 g in kilograms:
15 kg + 850 gm = 15 kg + kg [Since 1 kg = 1000 gm]
15 kg + 0.850 kg = 15.850 kg
(ii) 8 kg 96 g in kilograms:
8 kg + 96 gm = 8 kg + kg [Since 1 kg = 1000 gm]
8 kg + 0.096 kg = 8.096 kg
(iii) 540 g in kilograms:
540 gm = kg = 0.540 kg [Since 1 kg = 1000 gm]
(iv) 8 g in kilograms:
8 gm = kg = 0.008 kg [Since 1 kg = 1000 gm]
Page No 118:
Answer:
(i) Rs 18 and 25 paise in rupees:
Rs 18 + 25 paise = Rs 18 + Rs [Since Re 1 = 100 paise]
Rs 18 + Rs 0.25 = Rs 18.25
(ii) Rs 9 and 8 paise in rupees:
Rs 9 + 8 paise = Rs 9 + Rs [Since Re 1 = 100 paise]
Rs 9 + Rs 0.08 = Rs 9.08
(iii) 32 paise in rupees:
32 paise = Rs = Rs 0.32 [Since Re 1 = 100 paise]
(iv) 5 paise in rupees:
5 paise = Rs = Rs 0.05 [Since Re 1 = 100 paise]
Page No 120:
Answer:
9.6, 14.8, 37 and 5.9
Converting the decimals into like decimals:
9.6, 14.8, 37.0 and 5.9
Let us write the given numbers in the column form.
Now, adding:
9.6
14.8
37.0
5.9
67.3
Hence, the sum of the given numbers is 67.3.
Page No 120:
Answer:
23.7, 106.94, 68.9 and 29.5
Converting the decimals into like decimals:
23.70, 106.94, 68.90 and 29.50
Let us write the given numbers in the column form.
Now, adding:
23.70
106.94
68.90
29.50
229.04
Hence, the sum of the given numbers is 229.04.
Page No 120:
Answer:
72.8, 7.68, 16.23 and 0.7
Converting the decimals into like decimals:
72.80, 7.68, 16.23 and 0.70
Let us write the given numbers in the column form.
Now, adding:
72.80
7.68
16.23
0.70
97.41
Hence, the sum of the given numbers is 97.41.
Page No 120:
Answer:
18.6, 84.75, 8.345 and 9.7
Converting the decimals into like decimals:
18.600, 84.750, 8.345 and 9.700
Let us write the given numbers in the column form.
Now, adding:
18.600
84.750
8.345
9.700
121.395
Hence, the sum of the given numbers is 121.395.
Page No 120:
Answer:
8.236, 16.064, 63.8 and 27.53
Converting the decimals into like decimals:
8.236, 16.064, 63.800 and 27.530
Let us write the given numbers in the column form.
Now, adding:
8.236
16.064
63.800
27.530
115.630
Hence, the sum of the given numbers is 115.630.
Page No 120:
Answer:
28.9, 19.64, 123.697 and 0.354
Converting the decimals into like decimals:
28.900, 19.640, 123.697 and 0.354
Let us write the given numbers in the column form.
Now, adding:
28.900
19.640
123.697
0.354
172.591
Hence, the sum of the given numbers is 172.591.
Page No 120:
Answer:
4.37, 9.638, 17.007 and 6.8
Converting the decimals into like decimals:
4.370, 9.638, 17.007 and 6.800
Let us write the given numbers in the column form.
Now, adding:
4.370
9.683
17.007
6.800
37.815
Hence, the sum of the given numbers is 37.815.
Page No 120:
Answer:
14.5, 0.038, 118.573 and 6.84
Converting the decimals into like decimals:
14.500, 0.038, 118.573 and 6.840
Let us write the given numbers in the column form.
Now, adding:
14.500
0.038
118.573
6.840
139.951
Hence, the sum of the given numbers is 139.951.
Page No 120:
Answer:
Earning on the 1st day of the week = Rs 32.60
Earning on the 2nd day of the week = Rs 56.80
Earning on the 3rd day of the week = Rs 72.00
Total earning = Rs 161.40
Page No 120:
Answer:
Cost of the almirah = Rs 11025.00
Money spent on cartage = Rs 172.50
Money spent on repair = Rs 64.800
Total cost of the almirah = Rs 11262.3
Page No 120:
Answer:
Distance covered by the taxi = 36 km 235 m
Distance covered by the rickshaw = 4 km 085 m
Distance covered on foot = 1 km 080 m
Total distance covered = 41 km 400 m
Page No 120:
Answer:
Weight of sugar in the bag = 45 kg 080 g
Weight of the empty bag = 0 kg 950 g
Total weight of the bag = 46 kg 030 g
Page No 120:
Answer:
Length of cloth for his shirt = 2 m 70 cm
Length of cloth for his pyjamas = 2 m 60 cm
Total length of cloth bought = 5 m 30 cm
Page No 120:
Answer:
Length of cloth for her salwar = 2 m 05 cm
Length of cloth for her shirt = 3 m 35 cm
Total length of cloth bought = 5 m 40 cm
Page No 122:
Answer:
Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
53.74
- 27.86
25.88
53.74 - 27.86 = 25.88
Page No 122:
Answer:
Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
103.87
- 64.98
38.89
103.87 - 64.98 = 38.89
Page No 122:
Answer:
Converting the given numbers into like decimals:
59.63 and 92.40
Let us write them in the column form with the larger number at the top.
Now, subtracting:
92.40
- 59.63
32.77
53.74 - 27.86 = 32.77
Page No 122:
Answer:
Converting the given numbers into like decimals:
56.80 and 204.00
Let us write them in the column form with the larger number at the top.
Now, subtracting:
204.00
- 56.80
147.2
204.00 - 56.80 = 147.2
Page No 122:
Answer:
Converting the given numbers into like decimals:
127.38 and 216.20
Let us write them in the column form with the larger number at the top.
Now, subtracting:
216.20
- 127.38
88.82
216.20 - 127.38 = 88.82
Page No 122:
Answer:
Converting the given numbers into like decimals:
39.875 and 70.680
Let us write them in the column form with the larger number at the top.
Now, subtracting:
70.680
- 39.875
30.805
70.680 - 39.875 = 30.805
Page No 122:
Answer:
Converting the given numbers into like decimals:
348.237 and 523.120
Let us write them in the column form with the larger number at the top.
Now, subtracting:
523.120
- 348.237
174.883
523.120 - 348.237 = 174.883
Page No 122:
Answer:
Converting the given numbers into like decimals:
458.573 and 600.000
Let us write them in the column form with the larger number at the top.
Now, subtracting:
600.000
- 458.573
141.427
600.000 - 458.573 =141.427
Page No 122:
Answer:
Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
206.321
- 149.456
56.865
206.321 - 149.456 = 56.865
Page No 122:
Answer:
Converting the given numbers into like decimals:
3.400 and 0.612
Let us write them in the column form with the larger number at the top.
Now, subtracting:
3.400
- 0.612
2.788
3.400 - 0.612 = 2.788
Page No 122:
Answer:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
37.60 58.678
+ 72.85 + 6.090
110.45 64.768
110.450
64.768
45.682
(37.60 + 72.85) (58.678 + 6.090)
= 110.450 64.768
= 45.682
Page No 122:
Answer:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
178.96 104.645
+ 75.30 + 47.900
254.26 152.545
(75.30 + 178.96) (104.645 + 47.900)
254.260 152.545
101.715 254.260
152.545
101.715
Page No 122:
Answer:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
56.840
11.870
+16.087
84.797
(213.400) (56.840 + 11.870 + 16.087)
213.400 84.797
128.603 213.400
84.797
128.603
Page No 122:
Answer:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
7.666
+ 6.770
14.436
(76.300) (7.666 + 6.770)
= 76.300 14.436
= 61.864
76.300
-14.436
61.864
Page No 122:
Answer:
In order to get the number that must be added to 74.5 to get 91, we must subtract 74.5 from 91.0.
91.0
74.5
16.5
Thus, 16.5 is the required number.
Page No 122:
Answer:
In order to get the number that must be subtracted from 7.300 to get .0862, we have to subtract 0.862 from 7.300.
7.300
0.862
6.438
Thus, 6.438 is the required number.
Page No 122:
Answer:
In order to get the number by which 23.754 must be increased to get 50, we have to subtract 23.754 from 50.000.
50.000
23.754
26.246
Page No 122:
Answer:
In order to get the number by which 84.50 must be decreased to get 27.84, we have to subtract 27.84 from 84.50.
84.50
27.84
56.66
Page No 122:
Answer:
Weight of Neelam's school bag = 6080 g {Converting into grams: 6 kg + 80 g = (6000 + 80) g = 6080 g}
Weight of Garima's school bag = 5265 g {Converting into grams: 5 kg + 265 g = (5000 + 265)g = 5265 g}
Difference of the weights of bags = 815 g
Thus, the weight of Neelam's school bag is more than that of Garima's school bag by 815 grams, i.e. by 0.815 kg.
Page No 122:
Answer:
Cost of the notebook = Rs 19.75
Cost of the pencil = Rs 3.85
Cost of the pen = + Rs 8.35
Total cost payable = Rs 31.95
Total money paid = Rs 50.00
Total money spent = Rs 31.95
Balance = Rs 18.05
Thus, Kunal got back Rs 18.05 from the shopkeeper.
Page No 122:
Answer:
Weight of the fruits = 5 kg 075 g
Weight of the vegetables = + 3 kg 465 g
Total weight of the contents of the bag = 8 kg 540 g
Total weight of the bag with its contents = 9 kg 000 g
Total weight of the contents of the bag = 8 kg 540 g
Weight of the empty bag = 0 kg 460 g
Thus, the weight of the empty bag is 460 grams.
Page No 123:
Answer:
Converting into metres:
10 km 65 m = (10 + 0.065) m = 10.065 m
3 km 75 m = (3 + 0.075) m = 3.075 m
Distance covered by the scooter = 10.065 km
Distance covered by the bus = + 3.075 km
Total distance covered by the bus and the scooter = 13.140 km
Total distance between the house and the office = 14.000 km
Total distance covered by the bus and the scooter = 13.140 km
Distance covered on foot = 0.860 km
Distance covered by walking = 0.860 km = 860 metres
Page No 123:
Answer:
(c) 0.7
= 7 tenths = 0.7
Page No 123:
Answer:
(d) 0.05
= 5 hundredths = 0.05
Page No 123:
Answer:
(b) 0.009
= 9 thousandths = 0.009
Page No 123:
Answer:
(a) 0.016
= 16 thousandths = 0.016
Page No 123:
Answer:
(c) 0.134
= 134 thousandths = 0.134
Page No 123:
Answer:
(a) 2.17
2 = 2 + = 2 + 0.17 = 2.17
Page No 123:
Answer:
(b) 4.03
4 = 4 + = 4 + 0.03 = 4.03
Page No 123:
Answer:
b)
6.25 = 6 + 0.25 = 6 + = 6 + =
Page No 123:
Answer:
(b) 0.24
= 0.24
25) 60 (0.24
50
100
100
0
Page No 123:
Answer:
(c) 4.875
= 4 + = 4 + 0.875 = 4.875
Page No 123:
Answer:
(a)
24.8 = 24 + 0.8 = 24 + = 24 + =
Page No 124:
Answer:
(b) 2.04
= 2 + = 2 + 0.04 = 2.04
Page No 124:
Answer:
(c) 2.34
2 + = 2 + 0.3 + 0.04 = 2.34
Page No 124:
Answer:
(b) 2.06
2 + = 2 + 0.06 = 2.06
Page No 124:
Answer:
(c) 0.0407
= 0.04 + 0.0007 = 0.0407
Page No 124:
Answer:
(c)
2.06 = 2 +
Page No 124:
Answer:
(d) 2.66
Converting the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among the given decimals, 2.660 is the largest.
Page No 124:
Answer:
(b) 2.002 < 2.02 < 2.2 < 2.222
Converting the given decimals into like decimals:
2.002, 2.020, 2.200, 2.222
2.002 < 2.02 < 2.2 < 2.222
Page No 124:
Answer:
(a) 2.1
If we convert the given decimals into like decimals, we get 2.100 and 2.055.
At tenths place, 1 is greater than 0. Thus, 2.100 is greater than 2.055.
Page No 124:
Answer:
(b) 0.01 m
1 m = 100 cm
1 cm = m = 0.01 m
Page No 124:
Answer:
(b) 2.05 m
2 m 5 cm = (2 + ) m = (2 + 0.05) m = 2.05 m
Page No 124:
Answer:
(c) 2.008 kg
1 kg = 1000 g
2 kg 8 g = 2 kg + kg = (2 + 0.008) kg = 2.008 kg
Page No 124:
Answer:
(b) 2.056 kg
2 kg + 56 g = (2 + ) kg = (2 + 0.056) kg = 2.056 kg
Page No 124:
Answer:
(c) 2.035 km
1 km = 1000 m
2 km 35 m = (2 + ) km = (2 + 0.035) km = 2.035 km
Page No 124:
Answer:
(c) 4.804
0.4 + 0.004 + 4.4
Converting into like decimals and then adding:
4.400
0.004
+ 0.400
4.804
Page No 124:
Answer:
(a) 1.545
Converting into like decimals:
3.500 + 4.050 − 6.005
3.500
+ 4.050
7.550
7.550
− 6.005
1.545
Page No 124:
Answer:
(b) 3.5
6.3
− 2.8
3.5
Page No 124:
Answer:
(c) 1.41
Converting into like decimals and then subtracting:
5.01
− 3.60
1.41
Page No 125:
Answer:
(a) 1.3
Converting into like decimals and then subtracting:
2.0
− 0.7
1.3
Page No 125:
Answer:
(a) 0.8
Converting into like decimals and then subtracting:
1.1
− 0.3
0.8
Page No 126:
Answer:
= 4 + = 4 + 0.625 = 4.625
Page No 126:
Answer:
1 cm = m
105 cm = m = (1 + ) m = (1 + 0.05) m = 1.05 m
Page No 126:
Answer:
1 m = km
5 m = km = 0.005 km
6 km 5 m = (6 + 0.005) km = 6.005 km
Page No 126:
Answer:
1 m = km
8 m = km = 0.008 km
Page No 126:
Answer:
Converting into like decimals and then adding:
26.40
163.05
8.75
+ 5.60
203.80
Page No 126:
Answer:
Converting into like decimals and then subtracting:
3.200
0.528
2.672
Page No 126:
Answer:
We subtract 63.5 from 71 in order to find the number that is to be added to 63.5 to make it 71.
Converting into like decimals and then subtracting:
71.0
63.5
7.5
Page No 126:
Answer:
We subtract 5.4 from 13 in order to find the number that is to be subtracted from 13 to get 5.4.
Converting into like decimals and then subtracting:
13.0
5.4
7.6
Thus, we need to subtract 7.6 from 13 to get 5.4.
Page No 126:
Answer:
6.5, 6.05, 6.54, 6.4 and 6.45
Converting into like decimals:
6.50, 6.05, 6.54, 6.40 and 6.45
Clearly, 6.54 > 6.50 > 6.45 > 6.40 > 6.05
Hence, the given decimals can be arranged in the descending order in the following manner:
6.54, 6.50, 6.45, 6.40 and 6.05
Page No 126:
Answer:
(i) 0.4 =
(ii) 0.35 =
(iii) 0.08 =
(iv) 0.075 =
Page No 126:
Answer:
(b) 0.12
= 0.12
25) 30 (0.12
25
50
50
0
Page No 126:
Answer:
(c) 0.006
= 6 thousandths = 0.006
Page No 126:
Answer:
(b) 2.03
= 2 + = 2 + 0.03 = 2.03
Page No 126:
Answer:
(b)
In 16.534, place value of 3 = 3 hundredths = 0.03 =
Page No 126:
Answer:
(c) 4.875
= 4 + = 4 + 0.875 = 4.875
Page No 126:
Answer:
(c) 1.41
Converting into like decimals:
5.01
− 3.60
1.41
Page No 126:
Answer:
(a) 1.545
(3.50 + 4.05) 6.005
7.550 6.005
Converting into like decimals and then adding:
3.50
+ 4.05
7.55
Converting into like decimals and then subtracting:
7.550
6.005
1.545
Page No 126:
Answer:
(c) 0.0407
= 0.04 + 0.0007
Converting into like decimals:
0.0400 + 0.0007 = 0.0407
Page No 126:
Answer:
(d) 2.66
Converting all the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among these given like decimals, 2.660 is the largest.
Page No 126:
Answer:
(i) 1 m = km = 0.001 km
(ii) 10 mL = 1 = 0.01 L
(iii) 16 kg 5 g = (16 + 0.005) kg = 16.005 kg
(iv) 2 m 8 cm = (2 + 0.08) m = 2.08 m
(v) 3.02, 4.75, 1.63 are examples of like decimals.
Page No 127:
Answer:
(i) True
This is because after converting them into like decimals, we get 3.20 > 3.02, which is true.
(ii) True
1 g = kg
3 g = = 0.003 kg
(iii) False
= 0.341
This is because it is equal to 341 thousandths.
(iv) True
(v) False
In this case, every decimal should have 2 decimals in order to be like decimals. But, 2.3 has only 1 decimal.
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