Question

Using a number line, what whole number and rational number to the nearest half is √70 between?

Answer 1

To find the whole number and the rational number to the nearest half that \( \sqrt{70} \) is between, we first need to estimate \( \sqrt{70} \).

We know that:

- \( 8^2 = 64 \)
- \( 9^2 = 81 \)

Since \( 64 < 70 < 81 \), it follows that:

\[
8 < \sqrt{70} < 9
\]

Next, we can get a better estimate of \( \sqrt{70} \) by calculating it:

\[
\sqrt{70} \approx 8.37
\]

Now let's find the nearest half. The nearest halves around \( 8.37 \) are \( 8.5 \) and \( 8.0 \). Since \( 8.37 \) is closer to \( 8.5 \), we can round \( \sqrt{70} \) to:

\[
8.37 \approx 8.5
\]

Therefore, \( \sqrt{70} \) is between the whole number \( 8 \) and the rational number \( 8.5 \).

In conclusion, \( \sqrt{70} \) is:

- Between the whole number: **8**
- And the rational number to the nearest half: **8.5**

Answer 2

put this in normal ppl words

Answer 3

To find out where \( \sqrt{70} \) falls on a number line, we start by figuring out its approximate value.

We know that:

- \( 8^2 = 64 \)
- \( 9^2 = 81 \)

Since \( 70 \) is between \( 64 \) and \( 81 \), we can say:

\[
8 < \sqrt{70} < 9
\]

Now, if we calculate \( \sqrt{70} \), we get about \( 8.37 \).

Next, we want to see which whole number and which value to the nearest half \( \sqrt{70} \) is closest to. The nearest half numbers around \( 8.37 \) are \( 8.0 \) and \( 8.5 \). Since \( 8.37 \) is closer to \( 8.5 \), we choose that.

So, in simple terms:

- \( \sqrt{70} \) is between the whole number: **8**
- And the nearest half: **8.5**