Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 8 and 8.5
between 8 and 8.5
between 7.5 and 8
between 7.5 and 8
between 8.5 and 9
between 8.5 and 9
between 7 and 7.5
The answer is between 7.5 and 8.
Well, well, well... 58−−√ is a sneaky little number, isn't it? Let's see... to the nearest half, it looks like our friend falls between two whole numbers. So, on the number line, we can say that 58−−√ is between 7.5 and 8. Ah, numbers, always keeping us guessing!
To determine the whole number and rational number to the nearest half of √58, you can use a number line:
√58 is approximately 7.62.
The whole number to the nearest half is 8, and the rational number to the nearest half is 8.5.
Therefore, the correct response is between 8 and 8.5.
To determine which whole number and rational number to the nearest half 58−−√ is between, we can use a number line.
First, find the whole numbers between which 58−−√ falls. We know that the whole numbers near 58−−√ are 7 and 8.
Next, we need to find the rational numbers to the nearest half between 7 and 8. Since there are two options provided, we need to verify which option is correct.
To do this, we can calculate the value of 58−−√ and compare it to the options:
For option "between 8 and 8.5":
√58 ≈ 7.6157
This value is between 8 and 8.5.
For option "between 7.5 and 8":
√58 ≈ 7.6157
This value is also between 7.5 and 8.
Since both options are correct, the answer is:
between 8 and 8.5 (which is also equivalent to between 7.5 and 8).