QuestionIdentify the integers from this list: A. $\sqrt{2}$ , B. $0 . \overline{25}$ , C. $\pi$ , D. $\frac{2}{1}$ , E. $-\frac{8}{9}$ , F. None.

Studdy Solution

STEP 1

Assumptions1. An integer is a whole number, it can be either positive, negative, or zero. . A number is an integer if it does not have a fractional or decimal part.

STEP 2

We need to check each option to see if it meets the criteria for an integer.

STEP 3

Option A $\sqrt{2}$ $\sqrt{2}$ is the square root of2. The square root of2 is a non-repeating, non-terminating decimal, which is not an integer.

STEP 4

Option B $0 . \overline{25}$ $0 . \overline{25}$ is a repeating decimal. It is not an integer because it has a decimal part.

STEP 5

Option C $\pi$
$\pi$ is a mathematical constant whose value is approximately3.14159. It is a non-repeating, non-terminating decimal, which is not an integer.

STEP 6

Option D $\frac{2}{1}$ $\frac{2}{1}$ is a fraction. However, when we simplify this fraction, we get2, which is an integer.

STEP 7

Option $-\frac{}{9}$ $-\frac{}{9}$ is a fraction. When we simplify this fraction, we get a non-integer value, so it is not an integer.

STEP 8

Option F There are no integers in this list.
This is a statement, not a number, so it does not meet the criteria for an integer.

STEP 9

After checking all the options, we find that only option D $\frac{2}{}$ is an integer.
The integer in the list is $\frac{2}{}$ or2.

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QuestionIdentify the integers from this list: A. $\sqrt{2}$ , B. $0 . \overline{25}$ , C. $\pi$ , D. $\frac{2}{1}$ , E. $-\frac{8}{9}$ , F. None.

Studdy Solution

STEP 1

Assumptions1. An integer is a whole number, it can be either positive, negative, or zero. . A number is an integer if it does not have a fractional or decimal part.

STEP 2

We need to check each option to see if it meets the criteria for an integer.

STEP 3

Option A $\sqrt{2}$ $\sqrt{2}$ is the square root of2. The square root of2 is a non-repeating, non-terminating decimal, which is not an integer.

STEP 4

Option B $0 . \overline{25}$ $0 . \overline{25}$ is a repeating decimal. It is not an integer because it has a decimal part.

STEP 5

Option C $\pi$
$\pi$ is a mathematical constant whose value is approximately3.14159. It is a non-repeating, non-terminating decimal, which is not an integer.

STEP 6

Option D $\frac{2}{1}$ $\frac{2}{1}$ is a fraction. However, when we simplify this fraction, we get2, which is an integer.

STEP 7

Option $-\frac{}{9}$ $-\frac{}{9}$ is a fraction. When we simplify this fraction, we get a non-integer value, so it is not an integer.

STEP 8

Option F There are no integers in this list.
This is a statement, not a number, so it does not meet the criteria for an integer.

STEP 9

After checking all the options, we find that only option D $\frac{2}{}$ is an integer.
The integer in the list is $\frac{2}{}$ or2.

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QuestionIdentify the integers from this list: A. 2\sqrt{2}2​, B. 0.25‾0 . \overline{25}0.25, C. π\piπ, D. 21\frac{2}{1}12​, E. −89-\frac{8}{9}−98​, F. None.

Studdy Solution

STEP 1

Assumptions1. An integer is a whole number, it can be either positive, negative, or zero. . A number is an integer if it does not have a fractional or decimal part.

STEP 2

We need to check each option to see if it meets the criteria for an integer.

STEP 3

Option A 2\sqrt{2}2​2\sqrt{2}2​ is the square root of2. The square root of2 is a non-repeating, non-terminating decimal, which is not an integer.

STEP 4

Option B 0.25‾0 . \overline{25}0.250.25‾0 . \overline{25}0.25 is a repeating decimal. It is not an integer because it has a decimal part.

STEP 5

Option C π\piππ\piπ is a mathematical constant whose value is approximately3.14159. It is a non-repeating, non-terminating decimal, which is not an integer.

STEP 6

Option D 21\frac{2}{1}12​21\frac{2}{1}12​ is a fraction. However, when we simplify this fraction, we get2, which is an integer.

STEP 7

Option −9-\frac{}{9}−9​−9-\frac{}{9}−9​ is a fraction. When we simplify this fraction, we get a non-integer value, so it is not an integer.

STEP 8

Option F There are no integers in this list.This is a statement, not a number, so it does not meet the criteria for an integer.

STEP 9

After checking all the options, we find that only option D 2\frac{2}{}2​ is an integer.The integer in the list is 2\frac{2}{}2​ or2.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionIdentify the integers from this list: A. $\sqrt{2}$ , B. $0 . \overline{25}$ , C. $\pi$ , D. $\frac{2}{1}$ , E. $-\frac{8}{9}$ , F. None.

Option A $\sqrt{2}$ $\sqrt{2}$ is the square root of2. The square root of2 is a non-repeating, non-terminating decimal, which is not an integer.

Option B $0 . \overline{25}$ $0 . \overline{25}$ is a repeating decimal. It is not an integer because it has a decimal part.

Option C $\pi$
$\pi$ is a mathematical constant whose value is approximately3.14159. It is a non-repeating, non-terminating decimal, which is not an integer.

Option D $\frac{2}{1}$ $\frac{2}{1}$ is a fraction. However, when we simplify this fraction, we get2, which is an integer.

Option $-\frac{}{9}$ $-\frac{}{9}$ is a fraction. When we simplify this fraction, we get a non-integer value, so it is not an integer.

Option F There are no integers in this list.
This is a statement, not a number, so it does not meet the criteria for an integer.

After checking all the options, we find that only option D $\frac{2}{}$ is an integer.
The integer in the list is $\frac{2}{}$ or2.