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Question

Which of the following decimals is greater than 3.985 and lesser than 3.997?

A
3.697
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B
3.432
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C
3.754
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D
3.987
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Solution

The correct option is D 3.987
The decimal should be greater than 3.985 and less than 3.997

Comparing the decimals to the lower limit 3.985, we find:


In the tenths place, we find that
9 > 7 > 6 > 4.

So, both 3.985 and 3.997 are greater than 3.754, 3.697 and 3.432

Hence, the decimals 3.754, 3.697 and 3.432 cannot lie between 3.985 and 3.997 as they are lower than the lower limit 3.985.

Next, we compare 3.987 to the lower limit 3.985


In the thousandths place, we find that 7 > 5.

So, 3.987 > 3.985.

Next, we compare 3.987 to the upper limit 3.997.


In the hundredths place, we find that
8 < 9.

So, 3.987 < 3.997.

Therefore, the only decimal that is greater than 3.985 and less than 3.997 is 3.987.

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