Question

LaVonne estimated 38% of 63 by rounding 38% up to 40%, rounding 63 up to 70, and then multiplying 70 by 0.4 to get 28. Is her estimate reasonable?
No, because she should have rounded 38% down to 30%.
No, because she should have rounded 63 down to 60.
Yes, because she correctly rounded 38% up to 40%.
Yes, because she correctly rounded 63 up to 70.

Answer 1

the correct option is the second one:

"No, because she should have rounded 63 down to 60"

In that case, her estimation would have been 24.

Is her estimate reasonable?

First, we need to understand how rounding works. When we want to round to a given digit, we need to look at the digit that its located at its right.

• If it is 5 or more, we round up.
• If it is 4 or less, we round down.

In this case, LaVonne estimated 38% of 63, and the roundings that she did are:

38% up to 40%. This is correct, because the second digit is 8, so we round up here.

63 to 70. This is incorrect, because the second digit is 3 (smaller than 4) then here she should have round down to 60 instead of up to 70.

So what she should have gotten is:

0.4*60 = 24

That is a better estimation, were the actual value of the 38% of 63 is:

0.38*63 = 23.94

You can see that when rounding down, the estimation is much closer to the actual value.

So, the correct option is the second one:

"No, because she should have rounded 63 down to 60"

If you want to learn more about rounding:

https://brainly.com/question/10340128

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