QuestionSelect correct subsets for the number $-17$ : a Real, b Natural, c Whole, d Rational, e Integer.

Studdy Solution

STEP 1

Assumptions1. The given number is $-17$ . We need to determine which sets of numbers $-17$ belongs to. The options are Real numbers, Natural numbers, Whole numbers, Rational numbers, and Integers.

STEP 2

First, let's consider if $-17$ is a Real number. Real numbers include all the numbers on the number line, both rational and irrational. Since $-17$ can be located on the number line, it is a Real number.

STEP 3

Next, let's consider if $-17$ is a Natural number. Natural numbers are counting numbers starting from1. Since $-17$ is not a counting number, it is not a Natural number.

STEP 4

Now, let's consider if $-17$ is a Whole number. Whole numbers are all the non-negative integers, including zero. Since $-17$ is negative, it is not a Whole number.

STEP 5

Now, let's consider if $-17$ is a Rational number. Rational numbers are numbers that can be expressed as a fraction of two integers. Since $-17$ can be expressed as $-17/1$ , it is a Rational number.

STEP 6

Finally, let's consider if $-17$ is an Integer. Integers are all the whole numbers and their negatives. Since $-17$ is a whole number and is negative, it is an Integer.
So, the correct subsets for the number $-17$ are Real, Rational, and Integer.

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QuestionSelect correct subsets for the number $-17$ : a Real, b Natural, c Whole, d Rational, e Integer.

Studdy Solution

STEP 1

Assumptions1. The given number is $-17$ . We need to determine which sets of numbers $-17$ belongs to. The options are Real numbers, Natural numbers, Whole numbers, Rational numbers, and Integers.

STEP 2

First, let's consider if $-17$ is a Real number. Real numbers include all the numbers on the number line, both rational and irrational. Since $-17$ can be located on the number line, it is a Real number.

STEP 3

Next, let's consider if $-17$ is a Natural number. Natural numbers are counting numbers starting from1. Since $-17$ is not a counting number, it is not a Natural number.

STEP 4

Now, let's consider if $-17$ is a Whole number. Whole numbers are all the non-negative integers, including zero. Since $-17$ is negative, it is not a Whole number.

STEP 5

Now, let's consider if $-17$ is a Rational number. Rational numbers are numbers that can be expressed as a fraction of two integers. Since $-17$ can be expressed as $-17/1$ , it is a Rational number.

STEP 6

Finally, let's consider if $-17$ is an Integer. Integers are all the whole numbers and their negatives. Since $-17$ is a whole number and is negative, it is an Integer.
So, the correct subsets for the number $-17$ are Real, Rational, and Integer.

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QuestionSelect correct subsets for the number −17-17−17: a Real, b Natural, c Whole, d Rational, e Integer.

Studdy Solution

STEP 1

Assumptions1. The given number is −17-17−17 . We need to determine which sets of numbers −17-17−17 belongs to. The options are Real numbers, Natural numbers, Whole numbers, Rational numbers, and Integers.

STEP 2

First, let's consider if −17-17−17 is a Real number. Real numbers include all the numbers on the number line, both rational and irrational. Since −17-17−17 can be located on the number line, it is a Real number.

STEP 3

Next, let's consider if −17-17−17 is a Natural number. Natural numbers are counting numbers starting from1. Since −17-17−17 is not a counting number, it is not a Natural number.

STEP 4

Now, let's consider if −17-17−17 is a Whole number. Whole numbers are all the non-negative integers, including zero. Since −17-17−17 is negative, it is not a Whole number.

STEP 5

Now, let's consider if −17-17−17 is a Rational number. Rational numbers are numbers that can be expressed as a fraction of two integers. Since −17-17−17 can be expressed as −17/1-17/1−17/1, it is a Rational number.

STEP 6

Finally, let's consider if −17-17−17 is an Integer. Integers are all the whole numbers and their negatives. Since −17-17−17 is a whole number and is negative, it is an Integer.So, the correct subsets for the number −17-17−17 are Real, Rational, and Integer.

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QuestionSelect correct subsets for the number $-17$ : a Real, b Natural, c Whole, d Rational, e Integer.

Assumptions1. The given number is $-17$ . We need to determine which sets of numbers $-17$ belongs to. The options are Real numbers, Natural numbers, Whole numbers, Rational numbers, and Integers.

First, let's consider if $-17$ is a Real number. Real numbers include all the numbers on the number line, both rational and irrational. Since $-17$ can be located on the number line, it is a Real number.

Next, let's consider if $-17$ is a Natural number. Natural numbers are counting numbers starting from1. Since $-17$ is not a counting number, it is not a Natural number.

Now, let's consider if $-17$ is a Whole number. Whole numbers are all the non-negative integers, including zero. Since $-17$ is negative, it is not a Whole number.

Now, let's consider if $-17$ is a Rational number. Rational numbers are numbers that can be expressed as a fraction of two integers. Since $-17$ can be expressed as $-17/1$ , it is a Rational number.

Finally, let's consider if $-17$ is an Integer. Integers are all the whole numbers and their negatives. Since $-17$ is a whole number and is negative, it is an Integer.
So, the correct subsets for the number $-17$ are Real, Rational, and Integer.