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?

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.

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

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

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

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

no! witch one of those are the correct answer

Apologies once again for the confusion. The correct answers are:

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

b. 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.

c. 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.

d. 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.

I apologize for the previous incorrect responses.

there is only one correct answer, is it a. or b. or c. or d. only one is correct

Apologies for the confusion earlier. The correct answer is:

c. 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.

Once again, I apologize for the incorrect responses earlier.

ok thx now Write 4,739 in expanded form.

4,739 in expanded form is written as:

4,000 + 700 + 30 + 9

and its supposed to be numbers not letters right?

Yes, you are correct. In numerical form, 4,739 in expanded form is:

4,000 + 700 + 30 + 9

ok thx

You're welcome! If you have any more questions, feel free to ask.

Convert .454545454545........ to a rational number in simplest form.

To convert the recurring decimal .4545454545... to a rational number in simplest form, let's denote the recurring decimal as x:

x = .4545454545...

Multiplying x by 100 gives:

100x = 45.45454545...

Subtracting the original equation from this gives:

100x - x = 45.45454545... - .4545454545...

99x = 45

Dividing both sides by 99 gives:

x = 45/99

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9:

45/99 = 5/11

Therefore, the rational number in simplest form equivalent to the recurring decimal .4545454545... is 5/11.

Find a rational number (in simplest form) between 6 and 6 1/4?

To find a rational number between 6 and 6 1/4, we can take the average of these two numbers.

The average of 6 and 6 1/4 can be calculated as follows:

(6 + 6 1/4) / 2

To add the mixed number and the whole number, we need to convert the mixed number to an improper fraction.

6 1/4 can be written as 25/4.

(6 + 25/4) / 2 = (24/4 + 25/4) / 2 = 49/4 / 2 = 49/8

Therefore, the rational number between 6 and 6 1/4 is 49/8 in simplest form.