QuestionClassify the number $-\sqrt{7}$ as natural, integer, rational, or real. Options: A, B, C, D.

Studdy Solution

STEP 1

Assumptions1. The number we are classifying is $-\sqrt{7}$

STEP 2

We need to understand the definitions of the types of numbers we are classifying.
1. Natural numbers These are the set of positive integers, starting from1. They do not include zero or any negative numbers.
2. Integers These are all the whole numbers, including zero and negative whole numbers. . Rational numbers These are numbers that can be expressed as a ratio of two integers, where the denominator is not zero.
4. Real numbers These include all the rational and irrational numbers. Irrational numbers are numbers that cannot be expressed as a ratio of two integers.

STEP 3

We can see that $-\sqrt{7}$ is a negative number, so it cannot be a natural number.

STEP 4

$-\sqrt{7}$ is not a whole number, so it cannot be an integer.

STEP 5

$-\sqrt{7}$ cannot be expressed as a ratio of two integers, so it is not a rational number.

STEP 6

$-\sqrt{}$ is a real number, because it can be located on the number line.
So, $-\sqrt{}$ is a real number.
The correct answer is C. Real number.

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QuestionClassify the number $-\sqrt{7}$ as natural, integer, rational, or real. Options: A, B, C, D.

Studdy Solution

STEP 1

Assumptions1. The number we are classifying is $-\sqrt{7}$

STEP 2

STEP 3

We can see that $-\sqrt{7}$ is a negative number, so it cannot be a natural number.

STEP 4

$-\sqrt{7}$ is not a whole number, so it cannot be an integer.

STEP 5

$-\sqrt{7}$ cannot be expressed as a ratio of two integers, so it is not a rational number.

STEP 6

$-\sqrt{}$ is a real number, because it can be located on the number line.
So, $-\sqrt{}$ is a real number.
The correct answer is C. Real number.

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QuestionClassify the number −7-\sqrt{7}−7​ as natural, integer, rational, or real. Options: A, B, C, D.

Studdy Solution

STEP 1

Assumptions1. The number we are classifying is −7-\sqrt{7}−7​

STEP 2

STEP 3

We can see that −7-\sqrt{7}−7​ is a negative number, so it cannot be a natural number.

STEP 4

−7-\sqrt{7}−7​ is not a whole number, so it cannot be an integer.

STEP 5

−7-\sqrt{7}−7​ cannot be expressed as a ratio of two integers, so it is not a rational number.

STEP 6

−-\sqrt{}−​ is a real number, because it can be located on the number line.So, −-\sqrt{}−​ is a real number.The correct answer is C. Real number.

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QuestionClassify the number $-\sqrt{7}$ as natural, integer, rational, or real. Options: A, B, C, D.

Assumptions1. The number we are classifying is $-\sqrt{7}$

We can see that $-\sqrt{7}$ is a negative number, so it cannot be a natural number.

$-\sqrt{7}$ is not a whole number, so it cannot be an integer.

$-\sqrt{7}$ cannot be expressed as a ratio of two integers, so it is not a rational number.

$-\sqrt{}$ is a real number, because it can be located on the number line.
So, $-\sqrt{}$ is a real number.
The correct answer is C. Real number.