QuestionClassify the number $-8$ . Check all that apply: Irrational, Integer, Natural, Rational, Whole.

Studdy Solution

STEP 1

Assumptions1. The number we are classifying is $-8$ .

STEP 2

We need to understand the definitions of the different types of numbers.
1. An integer is any number, positive or negative, that does not have a decimal or fractional component. It includes zero.
2. A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. . An irrational number is a number that cannot be expressed as a fraction of two integers.
4. A natural number is a positive integer, excluding zero.
5. A whole number is a non-negative integer, including zero.

STEP 3

We can see that $-8$ is a whole number without a decimal or fractional component, so it is an integer.

STEP 4

Since $-8$ can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero (for example, $-8/1$ ), it is also a rational number.

STEP 5

$-8$ cannot be an irrational number because it can be expressed as a fraction of two integers.

STEP 6

$-8$ is not a natural number because it is not positive.

STEP 7

$-$ is not a whole number because it is not non-negative.
So, $-$ is an integer and a rational number.

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QuestionClassify the number $-8$ . Check all that apply: Irrational, Integer, Natural, Rational, Whole.

Studdy Solution

STEP 1

Assumptions1. The number we are classifying is $-8$ .

STEP 2

STEP 3

We can see that $-8$ is a whole number without a decimal or fractional component, so it is an integer.

STEP 4

Since $-8$ can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero (for example, $-8/1$ ), it is also a rational number.

STEP 5

$-8$ cannot be an irrational number because it can be expressed as a fraction of two integers.

STEP 6

$-8$ is not a natural number because it is not positive.

STEP 7

$-$ is not a whole number because it is not non-negative.
So, $-$ is an integer and a rational number.

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QuestionClassify the number −8-8−8. Check all that apply: Irrational, Integer, Natural, Rational, Whole.

Studdy Solution

STEP 1

Assumptions1. The number we are classifying is −8-8−8.

STEP 2

STEP 3

We can see that −8-8−8 is a whole number without a decimal or fractional component, so it is an integer.

STEP 4

Since −8-8−8 can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero (for example, −8/1-8/1−8/1), it is also a rational number.

STEP 5

−8-8−8 cannot be an irrational number because it can be expressed as a fraction of two integers.

STEP 6

−8-8−8 is not a natural number because it is not positive.

STEP 7

−-− is not a whole number because it is not non-negative.So, −-− is an integer and a rational number.

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QuestionClassify the number $-8$ . Check all that apply: Irrational, Integer, Natural, Rational, Whole.

Assumptions1. The number we are classifying is $-8$ .

We can see that $-8$ is a whole number without a decimal or fractional component, so it is an integer.

Since $-8$ can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero (for example, $-8/1$ ), it is also a rational number.

$-8$ cannot be an irrational number because it can be expressed as a fraction of two integers.

$-8$ is not a natural number because it is not positive.

$-$ is not a whole number because it is not non-negative.
So, $-$ is an integer and a rational number.