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Question

Which of the following numbers is the least when rounded to its nearest tenth?

A
92.123
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B
91.957
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C
92.163
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D
92.263
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Solution

The correct option is B 91.957
For option A: Rounding the decimal to its nearest tenth.
The digit at the hundredths place = 6
6 > 5
The decimal will be rounded up.
The digit at the tenths place increases by one, and the digits at lower places are replaced by zero.
So, 92.163 rounded to the nearest tenth is 92.2.
For option B:
Rounding the decimal to its nearest tenth.
The digit at the hundredths place = 5
5 = 5
The decimal will be rounded up.
The digit at the tenths place increases by one, and the digits at lower places are replaced by zero.

So, 91.957 rounded to the nearest tenth is 92.
For option C
Rounding the decimal to its nearest tenth.
The digit at the hundredths place = 6
6 > 5
The decimal will be rounded up.
The digit at the tenths place increases by one, and the digits at lower places are replaced by zero.
So, 92.263 rounded to the nearest tenth is 92.3.
For option D
Rounding the decimal to its nearest tenth.
The digit at the hundredths place = 2
2 < 5
The decimal will be rounded down.
Replace all the digits to the right of the tenths place with zero.

So, 92.123 rounded to the nearest tenth is 92.1.
Now, by comparing the rounded decimals.
92.0 < 92.1 < 92.2 < 92.3
Hence, 91.957 will be the least when rounded to its nearest tenth.

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