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Question

Find the sum.

10.1+1001100+100011000+10000110000


A

40.1111

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B

1111.1111

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C

4.1111

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D

400.1111

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Solution

The correct option is A

40.1111


When you divide a number by powers of ten (ten times itself some number of times, like ten, one hundred, one thousand, etc.), the decimal moves to the left. ​​For each power of ten, you move one place to the left.

1001100=10.01
[Power of 10 in denominator is 2, so move decimal point 2 places to the left]

100011000=10.001
[Power of 10 in denominator is 3, so move decimal point 3 places to the left]

10000110000=10.0001
[Power of 10 in denominator is 4, so move decimal point 4 places to the left]

10.1+1001100+100011000+10000110000=10.1+10.01+10.001+10.0001

The decimal point of numbers should be aligned for addition. Zeroes can be added to the front or back of the numbers to align the decimal point.

10.1000+10.0100+10.0010+10.0001–––––––– 40.1111––––––––


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