RS Aggarwal Class 5 Solutions Chapter 10 Decimals
Exercise – 39
1) Write the following decimal in words.
A) 16.23
Ans- Sixteen point two three
B) 0.871
Ans- Zero point eight seven one
C) 86.047
Ans- Eighty six point zero four seven
D) 103.005
Ans- One hundred three point zero zero five
E) 1.01
Ans- One point zero one
F) 2305.61
Ans-Two thousand three hundred five point six one
G) 30.108
Ans- Thirty point one zero eight
H) 140.062
Ans- One hundred forty point zero six two
2) Write the following decimals in figures.
A) thirty-five point six five
Ans- 35.65
B) one hundred eight point zero seven
Ans- 108.07
C) six point nine three two
Ans- 6.932
D) decimal five zero three
Ans- .503
E) three hundred forty point nine
Ans- 340.9
F) four hundred sixteen point one zero six
Ans- 416.106
G) three thousand six point zero zero nine
Ans- 306.009
H) two hundred point one two
Ans- 200.12
3) Write the place value of each digit in each of the following decimals.
A) 237.641
Ans-200+30+7+6/10 + 4/100 + 1/1000X
B) 29.053
Ans- 20+9+ 5/100 + 3/1000
C) 8.204
Ans- 8+2/10 + 4/1000
D) 2035.647
Ans- 2000+100+35+ 6/10 + 4/100 + 7/1000
4) Write the following decimals in expanded form.
A) 19.35
Ans- Nineteen point thirty five
B) 23.04
Ans-Twenty three point zero four
C) 137.506
Ans- One hundred thirty seven point five zero six
D) 0.613
Ans-Zero point six one three
E) 8.137
Ans-Eight point one three seven
F) 2605.034
Ans-Two thousand six hundred five point zero three four
G) 0.008
Ans-Zero point zero zero fight
H) 407.65
Ans- Four hundred seven point six five
5) Write each of the following in short form.
A) 20+7+3/10+6/100
Ans-27.36
B) 400+30+6+1/10+3/100+5/1000
Ans- 436.135
C) 40+8/10+3/100+4/1000
Ans- 40.834
D) 500+70+2/100+3/1000
Ans- 570.023
E) 3000+200+1+6/10+7/1000
Ans- 3201.607
F) 6000+9+7/10+6/1000
Ans- 6009.706
Exercise–40
1) Convert each of the following sets of unlike decimals into like decimals.
A) 9.5 , 102.86
Ans- 9.500 , 102.860
B) 4.8 , 6.06
Ans- 4.800 , 6.060
C) 0.3 ,1.457
Ans-0.300 , 1.457
D) 48.001 , 7.14 , 3.9
Ans- 48.001 , 7.140 , 3.900
E) 101.01 , 19.708 , 10.6
Ans- 101.010 , 19.708 , 10.600
F) 0.5 , 5.7 , 17.716
Ans- 0.500 , 5.700 , 17.716
2) Fill in the boxes with the symbol >, < or = to make the following statements correct.
A) 0.707 () 1
Ans- ( < )
B) 6.803 () 6.85
Ans- ( < )
C) 7.56 () 7.567
Ans- (< )
D) 2.01 () 2.001
Ans- ( > )
E) 1.93 () 1.905
Ans- ( > )
F) 0.04 () 0.4
Ans- ( < )
G) 2.64 () 2.640
Ans-( = )
H) 2.068 () 2.68
Ans- ( < )
I) 0.69 () 0.96
Ans- ( < )
J) 0.010 () 0.009
Ans- ( > )
K) 1.013 () 0.975
Ans- ( > )
L) 0.07 () 0.1
Ans- ( < )
3) Arrange the following decimals in ascending order.
A)0.34, 0.06, 0.1, 0.61, 0.01
Ans- 0.01 < 0.06 <0.1 < 0.34 < 0.61
B) 3.05, 2.901, 4.03, 2.91, 3.005, 2.109
Ans-2.109 < 2.901 < 2.91 < 3.005 < 3.05 < 4.03
C) 1.28, 0.82, 2.08, 0.78, 1.8, 2.8
Ans- 0.78 < 0.82 < 1.28 < 1.8 <2.08 < 2.8
D) 1.1, 1.01, 10.1, 10.01, 1.001, 10.001
Ans- 1.001 < 1.01 < 1.1 < 10.001 < 10.01 < 10.1
E) 78.8, 87.98, 77.9, 78.89, 87.9, 87.88
Ans- 77.9 < 78.8 < 78.89 < 87.88 < 87.9 < 87.98
F) 0.3, 0.003, 0.03, 3.03, 30.3, 30.03
Ans- 0.003 < 0.03 < 0.3 < 3.03 < 30.03 < 30.3
G) 4.37, 3.47, 4.73, 3.74, 4.7, 3.4
Ans-3.40<3.47 <3.74 < 4.37 < 4.7 < 4.73
5) Arrange the following decimals in descending order.
A) 0.1, 0.01, 0.001, 1.1, 1.01
Ans- 1.1 < 1.01 < 0.1 < 0.01 < 0.001
B) 3.1, 0.75, 3.01, 0.57, 2.3, 2.03
Ans- 3.1 < 3.01 < 2.3 < 2.03 < 0.75 < 0.57
C) 1.93, 2.01, 2.1, 1.9, 2.13, 1.87
Ans-2.13 < 2.1 < 2.01 < 1.93 < 1.9 < 1.87
D) 55.5, 5.55, 55.05, 5.5, 5.05, 55.55
Ans- 55.55 < 55.5 < 55.05 < 5.55 < 5.5 < 5.05
E) 6.06, 6.6, 6.006, 0.66, 0.06, 0.6
Ans- 6.6 < 6.06 < 6.006 < 0.66 < 0.6 < 0.06
F) 2.002, 2.22, 2.02, 2.2, 2.012, 2.021
Ans- 2.22 > 2.20 > 2.021 > 2.02 > 2.012 > 2.002
G) 1.9, 2.6, 1.09, 2.06, 1.009, 2.006
Ans-2.6 > 2.06 > 2.006 > 1.9 > 1.09 > 1.009
Exercise – 41
1) Add:
A)
8 | .9 | 4 | |
+3 | .2 | 7 | |
1 | 2 | .2 | 1 |
B)
4 | 3 | .6 | 7 |
+ | 8 | .4 | 5 |
5 | 2 | .1 | 2 |
C)
1 | 6 | .2 | 8 |
2 | 4 | .8 | 7 |
+ | 8 | .9 | |
5 | 0 | .0 | 5 |
D)
1 | 5 | 3 | .4 | 6 |
4 | 7 | .8 | 9 | |
+ | 6 | .3 | ||
1 | 0 | 2 | .5 | 4 |
3 | 1 | 0 | .1 | 9 |
E)
5 | 6 | .8 | 7 | |
4 | 3 | 2 | .9 | 3 |
+ | 1 | 8 | .7 | 6 |
0 | .3 | 8 | ||
5 | 0 | 8 | .9 | 4 |
F)
5 | .8 | 0 | 7 | ||
3 | 0 | .9 | |||
+ | 0 | .6 | 3 | ||
1 | 3 | 8 | .0 | 7 | |
1 | 7 | 5 | .4 | 0 | 7 |
2) Add the following decimals.
A) 18.4, 7.89, 0.365, 104.6
Ans- 18.4+7.89+0.365+104.6 = 131.255
B) 216.87, 39.09, 8.8, 17.6
Ans- 216.87+39.09+8.8+17.6 = 282.36
C) 1.9, 19.39, 109.899, 919.99
Ans-1.9+19.39+109.889+919.99 = 1051.169
D) 425.78, 3087.9, 98.08, 0.8
Ans- 425.78+3087.9+98.08+0.8 = 3612.56
E) 9.008, 18.678, 403.96, 38.8
Ans-9.008+18.678+403.96+38.8 = 470.446
F) 0.23, 17.77, 7.777, 77.7
Ans-0.23+17.77+7.777+77.7 = 103.477
3) Find the sum.
A) 175.6 + 86.54 + 245.356 + 7.8
Ans- 515.296
B) 29.87 + 146.9 + 37.635 + 0.78 + 1.907
Ans- 217.092
C) 123.45 + 56.78 + 91.06 + 1.789
Ans- 273.079
D) 84.6 + 9.78 + 0.935 + 243.7 + 0.006
Ans-339.021
E) 5.936 + 20 + 796.04 + 813
Ans- 1634.976
4) Find the difference.
A)
1 | 3 | .0 | 4 |
– | 9 | .8 | 7 |
3 | .1 | 7 |
B)
6 | 0 | .5 | 0 |
-5 | 4 | .6 | 5 |
5 | .8 | 5 |
C)
8 | 4 | .0 | 0 |
-3 | 6 | .2 | 3 |
4 | 7 | .7 | 7 |
D)
1 | 0 | .0 | 1 | 2 |
– | 7 | .2 | 3 | 6 |
2 | .7 | 7 | 6 |
E)
8 | 2 | 7 | .0 | 0 | 3 |
-7 | 3 | 9 | .7 | 6 | 4 |
8 | 7 | .2 | 3 | 9 |
F)
2 | 5 | 6 | .3 | 1 | 4 |
– | 7 | 8 | .7 | 6 | 5 |
1 | 7 | 7 | .5 | 4 | 9 |
5) Subtract:
A) 7.83 from 21.7
Ans-21.7-7.83 = 13.87
B) 41.6 from 80
Ans-80-41.6 = 38.4
C) 23.46 from 70.1
Ans-70.1-23.46 = 46.64
D) 39.65 from 49.21
Ans-49.21-39.65 = 9.56
E) 16.764 from 74.67
Ans-74.67-16.764 = 57.906
F) 21.34 from 101.2
Ans-101.2-21.34 = 79.86
G) 48.5 from 113.416
Ans- 113.416-48.5 = 64.916
H) 62.125 from 80.12
Ans- 80.12-62.125 = 17.995
6) Find the difference.
A) 207.3 – 198.86
Ans-8.44
B) 500 – 71.48
Ans- 428.52
C) 301 – 37.6
Ans- 263.4
D) 1000 – 136.325
Ans- 863.675
E) 753.126 – 197.039
Ans- 556.087
F) 248.24 – 89.673
Ans-158.567
7) Simplify:
A) 63.8 + 14.37 – 28.609 – 9.07
Ans-40.491
Solution:
Writing each of the given numbers with three decimal place, we have:
63.8 + 14.37 – 28.609 – 9.07
= 63.800 + 14.370 – 28.609 – 9.070
Adding positive numbers and negative numbers separately, we get:
63.800 + 14.370 = 78.170 , 28.609 + 9.070 = 37.679
Now, subtracting the sum of negative numbers from the sum of positive numbers, we get:
78.170 – 37.679
= 40.491
Hence, 63.8 + 14.37 – 28.609 – 9.07 = 40.491
B) 103.5 – 27.38 + 75.6 – 38.9
Ans- 112.81
Solution:
Writing each of the given numbers with two decimal place, we have:
103.5 – 27.38 + 75.6 – 38.9 = 103.50 – 27.38 + 75.60 – 38.90
Adding positive numbers and negative numbers separately, we get:
103.50+75.60 = 179.10 , 27.38 + 38.90 = 66.28
Now, subtracting the sum of negative numbers from the sum of positive numbers, we get:
179.10 – 66.28 = 112.82
Hence, 103.5 – 27.38 – 75.6 – 38.9 = 112.81
C) 66.66 – 6.666 – 3.033
Ans- 56.961
Solution:
Writing each of the given numbers with two decimal place, we have:
66.66 – 6.666 – 3.033 = 66.660 – 6.666 – 3.033
Adding positive numbers and negative numbers separately, we get:
66.660 , 6.666 + 3.033 = 9.699
Now, subtracting the sum of negative numbers from the positive number, we get:
66.660 – 9.699 = 56.961
Hence, 66.66 – 6.666 – 3.033 = 56.961
D) 500 – 37.8 + 1.4 – 137.63
Ans- 325.97
Solution:
Writing each of the given numbers with two decimal place, we get:
500 – 37.8 + 1.4 – 137.63 = 500.00 – 37.80 + 1.40 – 137.63
Adding positive numbers and negative numbers separately, we get:
500.00 + 1.40 = 501.40 , 37.80 + 137.63 = 175.43
Now, subtracting the sum of native numbers from positive numbers, we get:
501.40 –175.43 = 325.97
Hence, 500 – 37.8 + 1.4 – 137.63 = 325.97
8) What should be added to 78.9 to get 84.56?
Solution:
Converting the given numbers into like decimals, we get 78.90 and 84.56 .
Now, subtract 78.90 from 84.56
84.56 – 78.90 = 5.66
Ans- 5.56 should be added to 78.9 to get 84.56
9) What should be subtracted from 103.1 to get 84.56?
Solution:
Converting the given numbers into like decimals, we get 103.10 and 84.56 .
Now, subtract 84.56 from 103.10
103.10 – 84.56 = 18.54
Ans- 18.54 should be subtracted from 103.1 to get 84.56
10) By how much should 100 be decreased to get 18.8?
Solution:
Converting the given numbers into like decimals, we get 100.0 and 18.8
Now, subtract 18.8 from 100.0
100.0 – 18.8 = 81.2
Ans- 100 should be decreased by 81.2 to get 18.8
11) By how much should 43.786 be increased to get 50?
Solution:
Converting the given numbers into like decimals, we get 43.786 and 50.000
Now, subtract 43.786 from 50.000
50.000 – 43.786 = 6.214
Ans-43.786 should be increased by 6.214 to get 50
12) The sum of two numbers is 43.12. If one of the numbers is 18.576, find the other number.
Solution:
Converting the given numbers into like decimals, we get 43.120 and 18.576
Now, subtract 18.576 from 43.120
43.120 – 18.576 = 24.544
Ans- The other number is 24.544
13) Mona went to the market with 50.60 in her purse. She purchased a geometry box for 29.75. How much money is now left in Mona’s purse?
Solution:
Mona have 50.60 in her purse.
She purchased a geometry box for 29.75
Now, subtract 29.75 from 50.60
50.60 – 29.75 = 20.85
Ans- Now, 20.85 is left in Mona’s purse.
14) A drum contained 60 litres of milk. Out of this, 15.75litres of milk was taken out in bucket and 8.5 litres in another bucket. How much milk is left in the drum?
Solution:
Converting the given numbers into like decimals, we get 60.00, 15.75 and 8.50.
A drum contained 60.00litres of milk. Out of this, 15.75 and 8.50litres milk was taken out from this drum.
So that, total milk was taken out from this drum is = (15.75 + 8.5) litres = 24.25 litres
Now, subtract 24.25 litres from the drum contained 60.00 litres of milk.
(60.00 – 24.25) litres = 35.75 litres
Ans- 35.75 litres milk is left in the drum.