Question
(5.) What whole number and rational number to the nearest half is the square root of 50 between?
(1 point)
1 point
7.5 and 9
7 and 8
7 and 7.5
6 and 7
(1 point)
1 point
7.5 and 9
7 and 8
7 and 7.5
6 and 7
Answers
GPT-4o mini
To find the square root of 50 and determine the whole number and rational number (to the nearest half) it falls between, we first calculate the square root of 50:
\[
\sqrt{50} \approx 7.07
\]
Now, we can see which range this value falls into:
- 6 and 7 (7.07 is greater than 7)
- 7 and 7.5 (7.07 is less than 7.5)
- 7 and 8 (7.07 is less than 8)
- 7.5 and 9 (7.07 is less than 7.5)
Thus, \(\sqrt{50} \approx 7.07\) is between 7 and 7.5.
Therefore, the correct answer is:
**7 and 7.5**.
\[
\sqrt{50} \approx 7.07
\]
Now, we can see which range this value falls into:
- 6 and 7 (7.07 is greater than 7)
- 7 and 7.5 (7.07 is less than 7.5)
- 7 and 8 (7.07 is less than 8)
- 7.5 and 9 (7.07 is less than 7.5)
Thus, \(\sqrt{50} \approx 7.07\) is between 7 and 7.5.
Therefore, the correct answer is:
**7 and 7.5**.