Math / Numbers & Operations

QuestionClassify the number by indicating yes or no in the appropriate boxes $-3$

Studdy Solution

STEP 1

1. We are classifying the number $-3$ .
2. We need to determine if $-3$ fits into each of the following categories: Whole Numbers, Integers, Rational Numbers, and Real Numbers.

STEP 2

1. Determine if $-3$ is a Whole Number.
2. Determine if $-3$ is an Integer.
3. Determine if $-3$ is a Rational Number.
4. Determine if $-3$ is a Real Number.

STEP 3

Whole Numbers are non-negative integers, including $0$ .
Since $-3$ is negative, it is not a Whole Number.

STEP 4

Integers include all whole numbers and their negative counterparts.
Since $-3$ is a negative whole number, it is an Integer.

STEP 5

Rational Numbers are numbers that can be expressed as a fraction $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ .
Since $-3$ can be expressed as $\frac{-3}{1}$ , it is a Rational Number.

STEP 6

Real Numbers include all Rational and Irrational Numbers.
Since $-3$ is a Rational Number, it is also a Real Number.
The classification of the number $-3$ is as follows: - Whole Numbers: No - Integers: Yes - Rational Numbers: Yes - Real Numbers: Yes

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QuestionClassify the number by indicating yes or no in the appropriate boxes $-3$

Studdy Solution

STEP 1

1. We are classifying the number $-3$ .
2. We need to determine if $-3$ fits into each of the following categories: Whole Numbers, Integers, Rational Numbers, and Real Numbers.

STEP 2

1. Determine if $-3$ is a Whole Number.
2. Determine if $-3$ is an Integer.
3. Determine if $-3$ is a Rational Number.
4. Determine if $-3$ is a Real Number.

STEP 3

Whole Numbers are non-negative integers, including $0$ .
Since $-3$ is negative, it is not a Whole Number.

STEP 4

Integers include all whole numbers and their negative counterparts.
Since $-3$ is a negative whole number, it is an Integer.

STEP 5

Rational Numbers are numbers that can be expressed as a fraction $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ .
Since $-3$ can be expressed as $\frac{-3}{1}$ , it is a Rational Number.

STEP 6

Real Numbers include all Rational and Irrational Numbers.
Since $-3$ is a Rational Number, it is also a Real Number.
The classification of the number $-3$ is as follows: - Whole Numbers: No - Integers: Yes - Rational Numbers: Yes - Real Numbers: Yes

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QuestionClassify the number by indicating yes or no in the appropriate boxes −3-3−3

Studdy Solution

STEP 1

1. We are classifying the number −3-3−3.2. We need to determine if −3-3−3 fits into each of the following categories: Whole Numbers, Integers, Rational Numbers, and Real Numbers.

STEP 2

1. Determine if −3-3−3 is a Whole Number.2. Determine if −3-3−3 is an Integer.3. Determine if −3-3−3 is a Rational Number.4. Determine if −3-3−3 is a Real Number.

STEP 3

Whole Numbers are non-negative integers, including 000.Since −3-3−3 is negative, it is not a Whole Number.

STEP 4

Integers include all whole numbers and their negative counterparts.Since −3-3−3 is a negative whole number, it is an Integer.

STEP 5

Rational Numbers are numbers that can be expressed as a fraction ab\frac{a}{b}ba​, where aaa and bbb are integers and b≠0b \neq 0b=0.Since −3-3−3 can be expressed as −31\frac{-3}{1}1−3​, it is a Rational Number.

STEP 6

Real Numbers include all Rational and Irrational Numbers.Since −3-3−3 is a Rational Number, it is also a Real Number. The classification of the number −3-3−3 is as follows: - Whole Numbers: No - Integers: Yes - Rational Numbers: Yes - Real Numbers: Yes

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QuestionClassify the number by indicating yes or no in the appropriate boxes $-3$

1. We are classifying the number $-3$ .
2. We need to determine if $-3$ fits into each of the following categories: Whole Numbers, Integers, Rational Numbers, and Real Numbers.

1. Determine if $-3$ is a Whole Number.
2. Determine if $-3$ is an Integer.
3. Determine if $-3$ is a Rational Number.
4. Determine if $-3$ is a Real Number.

Whole Numbers are non-negative integers, including $0$ .
Since $-3$ is negative, it is not a Whole Number.

Integers include all whole numbers and their negative counterparts.
Since $-3$ is a negative whole number, it is an Integer.

Rational Numbers are numbers that can be expressed as a fraction $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ .
Since $-3$ can be expressed as $\frac{-3}{1}$ , it is a Rational Number.

Real Numbers include all Rational and Irrational Numbers.
Since $-3$ is a Rational Number, it is also a Real Number.
The classification of the number $-3$ is as follows: - Whole Numbers: No - Integers: Yes - Rational Numbers: Yes - Real Numbers: Yes