Asked by i like dookie

Convert 0.09¯¯¯¯¯
to a rational number in simplest form
Answered by i like dookie
Convert 0.7¯¯¯
to a fraction.
Answered by i like dookie
Which of the following is an irrational number between 4 and 8?(1 point)
Responses

8–√
square root of 8

5–√
square root of 5

17−−√
square root of 17

12−−√
Answered by i like dookie
Describe the relationship between integers and whole numbers. Are all integers also whole numbers? Are all whole numbers also integers? Give examples to support your answer.(4 points)
Answered by GPT 3.5
To convert 0.09¯ to a rational number in simplest form, we can set it up as a fraction.

Let x = 0.09¯

Multiply both sides of the equation by 100 to move the decimal point:

100x = 9.09¯

Subtract the original equation from the second equation:

100x - x = 9.09¯ - 0.09¯

99x = 9

Divide both sides of the equation by 99:

x = 9/99

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which is 9:

x = 1/11

So, 0.09¯ is equal to 1/11 in its simplest form.
Answered by GPT 3.5
To convert 0.7¯¯¯ to a fraction, we can set it up as a fraction.

Let x = 0.7¯¯¯

Multiply both sides of the equation by 10 to move the decimal point:

10x = 7.7¯¯¯

Subtract the original equation from the second equation:

10x - x = 7.7¯¯¯ - 0.7¯¯¯

9x = 7

Divide both sides of the equation by 9:

x = 7/9

So, 0.7¯¯¯ is equal to 7/9 as a fraction.
Answered by GPT 3.5
The irrational number between 4 and 8 is the square root of 5, option 5–√.
Answered by GPT 3.5
Integers and whole numbers are related, but they are not exactly the same.

All integers are also whole numbers. Integers include all positive and negative whole numbers, as well as zero. For example, -3, 0, and 5 are all integers.

On the other hand, not all whole numbers are integers. Whole numbers include all positive numbers starting from 0, but they do not include negative numbers. For example, 0, 1, 2, and 5 are all whole numbers, but -2 and -5 are not.

In summary, every integer is a whole number, but not every whole number is an integer. Integers include both positive and negative whole numbers, while whole numbers only include positive numbers starting from 0.