Question

Express 811 as a repeating decimal. Mark the cycle of repeating digits with a bar
Answer
Convert 0.72¯¯¯¯¯ to a rational number in simplest form.
Answer
Which of the following is a rational number between 5 and 514?
Answer
Which of the following is a rational number between 5 and 5 1/4
Answer
wrong
Answer
ur wrong again
Answer
ur dumber than me
Answer
What is a rational number with a denominator of 7 that is between √7 and √8 write your answer as an improper fraction.
Answered by the Rizz Demi God
so this is the answer?
Answered by i like dookie
Express 7/11
as a repeating decimal. Mark the cycle of repeating digits with a bar.

Note: You will find the option to add a bar above text in the Geometry (∠
) keyboard.

(1 point)
Answered by echo
Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.
Answered by GPT 3.5
To express 811 as a repeating decimal, we divide 811 by 9 (because the repeating cycle will be in the tenths place, which is 10^(-1), and 1/9 = 0.1111...), which gives:

811 ÷ 9 = 90.1111...

Since there is a repeating cycle of 1s after the decimal point, we can represent it with a bar over the repeating digits. Therefore, the decimal form of 811 is 90.1¯¯¯¯¯¯¯¯¯¯+.
Answered by GPT 3.5
Let's call the repeating decimal 0.72¯¯¯¯¯ as x.

To convert this repeating decimal to a rational number, we can subtract it from a number formed by moving the repeating part to the left of the decimal point.

10x - x = 7.2¯¯¯¯¯ - 0.72¯¯¯¯¯
=> 9x = 7.2

Now, we isolate x by dividing both sides by 9:
x = 7.2 / 9
x = 0.8

Therefore, the rational number in simplest form that corresponds to 0.72¯¯¯¯¯ is 0.8.
Answered by GPT 3.5
To find a rational number between 5 and 514, we can start by taking the average of the two numbers:

(5 + 514) / 2 = 519 / 2 = 259.5

Since 259.5 is a decimal, we need to convert it into a rational number. We notice that it can be represented as a fraction where the numerator and denominator are both divisible by 2:

259.5 = 2595 / 10

Simplifying the fraction by dividing both the numerator and denominator by 5:

2595 / 10 = 519 / 2 = 259.5

So, the rational number between 5 and 514 is 259.5.
Answered by GPT 3.5
To find a rational number between 5 and 5 1/4, we need to convert 5 1/4 into a decimal.

5 1/4 = 5 + 1/4 = 20/4 + 1/4 = 21/4 = 5.25

Now we can find a rational number between 5 and 5.25 by taking their average:

(5 + 5.25)/2 = 10.25/2 = 5.125

Therefore, the rational number between 5 and 5 1/4 is 5.125.
Answered by GPT 3.5
I apologize for the mistake. Let's correct it.

To find a rational number between 5 and 5 1/4, we can convert 5 1/4 into an improper fraction:

5 1/4 = (4 * 5 + 1)/4 = 21/4

Now, to find a rational number between 5 and 21/4, we can take the average:

(5 + 21/4)/2 = (20/4 + 21/4)/2 = 41/8

Therefore, a rational number between 5 and 5 1/4 is 41/8.
Answered by GPT 3.5
Apologies for the mistake. Let's correct it.

To find a rational number between 5 and 5 1/4, we can convert 5 1/4 to an improper fraction:

5 1/4 = (4 * 5 + 1) / 4 = 21 / 4

Now, to find a rational number between 5 and 5 1/4, we can take the average:

(5 + 21/4) / 2 = (20/4 + 21/4) / 2 = 41/8

Therefore, the rational number between 5 and 5 1/4 is 41/8.
Answered by GPT 3.5
I apologize if my previous responses were not what you were expecting. If you have any other questions or need further assistance, please let me know, and I will be glad to help you.
Answered by GPT 3.5
To find a rational number between √7 and √8 with a denominator of 7, we need to calculate the value of √7 and √8 and then find a fraction with a denominator of 7 that falls in between them.

√7 ≈ 2.645751311
√8 ≈ 2.828427125

Now, we can find the fraction with a denominator of 7 that lies between these two values:

2.645751311 < 2.646 < 2.828427125

By observation, we can select 2.646 as the decimal representation for the rational number between √7 and √8. To express it as an improper fraction, we multiply both the numerator and denominator by 7:

2.646 * 7 = 18.522

Therefore, the rational number between √7 and √8, with a denominator of 7, is 18/7 or 18.522 as an improper fraction.
Answered by GPT 3.5
I apologize for the incorrect response in my previous message. Let's correct it.

To find a rational number between √7 and √8 with a denominator of 7, we need to determine the fractions equivalent to these radicals.

√7 can be written as 7/√7, and √8 can be written as 8/√8.

To rationalize the denominators, we multiply the numerators and denominators of each fraction by the conjugate of the denominator:

√7 = (7/√7) * (√7/√7) = 7√7 / (√7)^2 = 7√7/7 = √7

√8 = (8/√8) * (√8/√8) = 8√8 / (√8)^2 = 8√8/8 = √8

We now have √7 = 7√7/7 and √8 = 8√8/8.

To find a rational number between √7 and √8 with a denominator of 7, we can choose the average:

(7√7/7 + 8√8/8) / 2 = (7√7 + 8√8) / 14

Therefore, the rational number between √7 and √8 with a denominator of 7 is (7√7 + 8√8) / 14.