Using a number line, what whole number and rational number to the nearest half is 10−−√

between?(1 point)
10−−√
is between
and

1 answer

To find the whole number and the rational number (to the nearest half) that 10 is between, we first calculate the approximate value of 10.

Since 32=9 and 42=16, we know:

3<10<4

Now let's find the decimal approximation:

103.162

Next, we want to find the nearest half. The nearest halves around 3.162 are 3.0 and 3.5. Since 3.162 is closer to 3.0 than to 3.5, we round 3.162 to 3.0.

Now, we summarize our findings:

  • The whole number that 10 is between is 3.
  • The rational number to the nearest half that 10 is between is 3.0.

Thus, 10 is between 3 and 3.5.

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