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Question

Which of the following numbers is greater than 7.09?

A
7.099
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B
6.900
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C
7.080
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D
7.070
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Solution

The correct option is A 7.099
We can write 7.09 as 7.090, as adding a zero to the right of the rightmost digit in a decimal does not change its value.

Now, we compare the digits of 7.090 with the digits of the decimals given in the options.

First, we compare 6.900 with 7.090


In the ones place, 6 < 7.
So, 6.900 < 7.090

Comparing the decimals 7.080 and 7.070 with 7.090 using a place value table, we get:


In hundredths place, 7 < 8 < 9.
So, 7.070 < 7.080 < 7.090.

Therefore, both 7.070 and 7.080 are less than 7.090 which means they will be less than 7.099 as well.

Finally, we compare 7.090 with 7.099.


In the thousandths place, 9 > 0.
∴ We can write, 7.099 > 7.090.

Hence, out of the decimals given, the only decimal that is greater than 7.09 is 7.099.

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