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Question

Match the given decimals with their nearest tenths place estimate.

A
5.2
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B
5.1
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C
5.3
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D
5.4
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Solution

To round a decimal off to its nearest tenths place, we look at the digit in its hundredths place.


In 5.149, the digit in the hundredths place is 4.

As 4 < 5, we round 5.149 down to get 5.1.

The next decimal 5.16 has a 6 in its hundredths place.


As 6 > 5, we round 5.16 up to get 5.2.

The third decimal 5.34 has a 4 in its hundredths place.


As 4 < 5, we round 5.34 down to get 5.3 as its nearest tenths.

Finally, in the case of 5.36, the hundredths digit is 6.


As 6 > 5, we round 5.36 up to 5.4.

∴ Estimating to the nearest tenths place, we get:
5.149 is rounded down to 5.1
5.16 is rounded up to 5.2
5.34 is rounded down to 5.3
5.36 is rounded up to 5.4

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