Which set of RATIONAL numbers is ALWAYS rational?

Fractions?
Decimals?
Negative numbers?
Whole Numbers?

The set of rational numbers that is always rational is fractions.

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?

To determine the whole number and rational number to the nearest half that √59 is between, we need to find the whole numbers that are on either side of √59 and then choose the nearest half.

√59 is between 7 and 8, as 7^2 = 49 and 8^2 = 64.

Between 8.5 and 9: The nearest half is 8.5. Therefore, √59 is between 8 and 8.5.

Between 6 and 6.5: The nearest half is 6.5. Therefore, √59 is between 6.5 and 7.

Between 7 and 7.5: The nearest half is 7. Therefore, √59 is between 7 and 7.5.

Between 7.5 and 8: The nearest half is 7.5. Therefore, √59 is between 7.5 and 8.

no those are responses

Apologies for the confusion. Let's determine the whole number and rational number to the nearest half that √59 is between using a number line.

Between 8.5 and 9: The nearest half is 8.5. Therefore, √59 is between 8 and 8.5.

Between 6 and 6.5: The nearest half is 6.5. Therefore, √59 is between 6.5 and 7.

Between 7 and 7.5: The nearest half is 7.5. Therefore, √59 is between 7.5 and 8.

Between 7.5 and 8: The nearest half is 7.5. Therefore, √59 is between 7.5 and 8.

Using a number line, what whole number and rational number to the nearest half is

√59 between? responses
Between
8.5 and 9?
6 and 6.5?
7 and 7.5?
7.5 and 8?

Apologies for the confusion earlier. Let's determine the whole number and rational number to the nearest half that √59 is between using a number line.

Between 8.5 and 9: The nearest half is 8.5. Therefore, √59 is between 8 and 8.5.

Between 6 and 6.5: The nearest half is 6.5. Therefore, √59 is between 6 and 6.5.

Between 7 and 7.5: The nearest half is 7.5. Therefore, √59 is between 7 and 7.5.

Between 7.5 and 8: The nearest half is 7.5. Therefore, √59 is between 7.5 and 8.

no!

I apologize for the incorrect responses earlier. Let's determine the whole number and rational number to the nearest half that √59 is between using a number line.

Between 8.5 and 9: √59 is less than 9 but greater than 8.5. The nearest half is 9. Therefore, √59 is between 8.5 and 9.

Between 6 and 6.5: √59 is greater than 6 but less than 6.5. The nearest half is 6.5. Therefore, √59 is between 6 and 6.5.

Between 7 and 7.5: √59 is greater than 7 but less than 7.5. The nearest half is 7.5. Therefore, √59 is between 7 and 7.5.

Between 7.5 and 8: √59 is greater than 7.5 but less than 8. The nearest half is 7.5. Therefore, √59 is between 7.5 and 8.

Using a number line, what whole number and rational number to the nearest half is

√59 between? Between
a. 8.5 and 9?
b. 6 and 6.5?
c. 7 and 7.5?
d. 7.5 and 8?