Using a number line, what whole number and rational number to the nearest half is
√59 between? Between
8.5 and 9?
6 and 6.5?
7 and 7.5?
7.5 and 8?
For a number line, it is easier to find the whole number and rational number to the nearest half by looking at the square root (√) of the given number.
1) √59 is between 7.5 and 8 (8 → 7.5 → √59).
2) √59 is between 7 and 7.5 (7.5 → √59 → 7).
3) √59 is between 7 and 7.5 (7.5 → √59 → 7).
4) √59 is between 7 and 7.5 (7.5 → √59 → 7).
whats the answer
The answers are as follows:
1) √59 is between 7.5 and 8.
2) √59 is between 7 and 7.5.
3) √59 is between 7 and 7.5.
4) √59 is between 7 and 7.5.
To determine which whole number and rational number is √59 closest to, we can evaluate the square root of 59 and compare it to the given ranges.
1. Between 8.5 and 9:
The whole number nearest to √59 is 8, and the closest rational number to √59 is √59 itself since it lies outside the given range.
2. Between 6 and 6.5:
The whole number nearest to √59 is 7, and the closest rational number to √59 is √59 itself.
3. Between 7 and 7.5:
The whole number nearest to √59 is 8, and the closest rational number to √59 is √59 itself.
4. Between 7.5 and 8:
The whole number nearest to √59 is 8, and the closest rational number to √59 is √59 itself.
So, the whole number and rational number closest to √59 in the given ranges are as follows:
1. Between 8.5 and 9:
Whole number: 8
Rational number: √59
2. Between 6 and 6.5:
Whole number: 7
Rational number: √59
3. Between 7 and 7.5:
Whole number: 8
Rational number: √59
4. Between 7.5 and 8:
Whole number: 8
Rational number: √59