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The two numbers, to the tenths on either side of 9.37 are:

9.3, which is 9.37 - 9.3 = 0.07 away

and

9.4, which is 9.4 - 9.37 = 0.03 away

Now, since 3 is less than 7,

0.03 is less than 0.7

so something that is 0.03 away is nearer than something that is 0.07 away.

That is, 9.4 is nearer than 9.3.

Also, since these are the numbers on either side, any other numbers to the tenths are much further away. Therefore, 9.4 is the nearest,

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Q: Why is 9.37 rounded to the nearest tenth 9.4?
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