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Published on: 24/09/2019
Decimals
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Questions + Answers key
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1.
Add the following 270.24 + 12.52 + 1.5
2.
Anil got Rs 1000 as pocket money. He spent Rs 439.74 in playing games and Rs 246.40 in food. How mush did he save?
3.
On Aruna's birthday, his mother bought biscuits for Rs 250, cake for Rs 170.50, chocolate munch for Rs 140.75 and toffees for Rs 120.75. For the total amount spent by her in all.
4.
What should be subtracted from 117.47 to get 47.95?
5.
How will you write \(19\frac { 3 }{ 100 } \) as decimal?
6.
What should be added to 60.30 to obtain 100.70?
7.
Simplify 53.5 - 34.68 + 64.75 - 28.9.
8.
Add 67.25, 249, 8.785 and 0.23.
9.
Express in kilometers, using decimals. 15 km 245 m
10.
Subtract 0.316 kg from 2.876 kg.
11.
What should be added to 25.5 to get 60?
12.
Write as fraction in lowest form. 4.50
13.
Write as fraction in lowest form. 0.65
14.
Write each of the following as decimals. \(\frac { 12 }{ 10 } \)
15.
Express as km using decimals
70 km 5 m
1.
Here, 270.24 + 12.52+ 1.5 can be written as

270.24 + 12.52 + 1.50 = 284.26
2.
Rs 313.86
3.
Rs 682
4.
To get the required number, we have
117.47 - 47.95 = 69.52
5.
\(19\frac { 3 }{ 100 } =19+\frac { 3 }{ 100 } \)= 19 + 0.03 = 19.03
6.
Suppose \(\times\) should be added to 60.30 to set 100.70.
\(\therefore\) 60.30 + x = 100.70
\(\Rightarrow\) x = 100.70 - 60.30
\(\\\quad100.70\\\\\\\\\\\\\\\\-60.30\\\_\_\_\_\_\_\_\_\_\_\_\\\quad40.40\\\_\_\_\_\_\_\_\_\_\_\_\)
\(\therefore\) x = 40.40
Hence, required result is 40.40
7.
Converting the given decimals into like decimals
we get
53.5 - 34.68 + 64.75 - 28.9
= (53.50 + 64.75)-(34.68 + 28.90)
= 118.25 - 63.58
= 54.67
8.
Converting the given decimals into like decimals
we get
67.250, 249.000, 8.785, 9.800 and 0.230
Here,
\(\\\\67.250\\249.000\\\quad8.785 \\\quad9.800\\+ 0.230\\\_\_\_\_\_\_\_\_\\ \ Rs\ 335.065\\ \_\_\_\_\_\_\_\_\)
9.
We know that, 1000 m = 1 km
15 km 245 m = 15 km + \(\frac { 245 }{ 1000 } \) km
= 15 km + 0.245 km = 15.245 km
10.
2.876 kg - 0.316 kg
i.e.
\(\quad 2.876\\-0.316\\ \_\_\_\_\_\_\_\_\\ \ Rs\ 2.560 kg\\ \_\_\_\_\_\_\_\_\)
11.
We subtract 25.5 from 60 to get the required result.
\(\therefore\)
\(\quad 60.0\\-25.5\\ \_\_\_\_\_\_\_\_\\ \ Rs\ 34.5\\ \_\_\_\_\_\_\_\_\)
So, 34.5 should be added to 25.5 to get 60.
12.
\(4.50=4+\frac { 50 }{ 100 } =4+\frac { 1 }{ 2 } =4\frac { 1 }{ 2 } =\frac { 9 }{ 2 } \)
13.
Here 0.65=\(\frac { 65 }{ 100 } =\frac { 13 }{ 20 } \)
14.
Here, \(\frac { 12 }{ 10 } =1.2\)
15.
We know that 1 m \(={1\over 1000}\) km
\(\therefore\) 70 km 5 m = 70 km + 5 m
= 70 km \(+5\times{1 \over 1000}\) km
= 70 km \(+{5\over 1000}\) km
= (70+0.005) km
= 70.005 km.
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