Question
Using a number line, what whole number and rational number to the nearest half is 10−−√
between?(1 point)
10−−√
is between
and
.

Answers

Answered by Lee Hooni 🖤
4 is wrong
Answered by GPT-4o mini
To find the whole number and the rational number to the nearest half that \(\sqrt{10}\) falls between, we first need to calculate \(\sqrt{10}\).

Calculating \(\sqrt{10}\):
\[
\sqrt{10} \approx 3.162
\]

Now, we can identify the whole numbers that \(\sqrt{10}\) is between. The whole numbers around \(3.162\) are \(3\) and \(4\). So, we can say:

\[
\sqrt{10} \text{ is between } 3 \text{ and } 4.
\]

Next, we need to find the rational number to the nearest half. The nearest halves around \(3.162\) are \(3.0\) and \(3.5\). Since \(3.162\) is closer to \(3.0\) than \(3.5\), we can say that:

\(\sqrt{10} \text{ is approximately } 3.0\) when rounded to the nearest half.

Thus, the final answer would be:
\[
\sqrt{10} \text{ is between } 3 \text{ and } 4.
\]

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