Question

Name the sets of numbers to which each number belongs.

Answer 1

The sets for each of the given numbers are:

• 6426: Real, rational, integer and whole.
• √7: Real and irrational.
• 2π: Real and irrational.
• 4.0: Real, rational, integer, whole.
• √(25/36): Real and rational.
• -√16: Real, rational, and integer.
• -35: Real, rational, and integer.
• -31.8: Real and rational.

To which set each number belong?

Here we need to identify 3 sets

• Rational numbers: all of these that can be written as a quotient of two integers.
• Irrational numbers: all of these that can't be written as a quotient of two integers.
• Integers: Any number that can be got by adding or subtracting ones.
• Whole numbers: All the integers equal or larger than 0.
• Real number: any of the above is a real number.

The first number is:

6426

It can be rewriten to:

6426/1

So this is: Real, rational, integer, and whole number.

Second number:

√7

This is a real and irrational number (square roots of non-square numbers are irrational numbers).

Third number:

2π

This is a real and irrational number, because π is irrational.

Fourth number:

4.0

This is: Real, rational, whole, and integer.

Fifth number:

√(25/36)

We can simplify that to:

√(25/36) = 5/6

So this is a real and rational number.

Sixth number:

-√16 = -4

That is a: Real, rational, and integer number

Seventh number:

-35

Same as the above one, real, rational, and integer.

Eight number:

-31.8

It can be written as:

-31.8 = -318/10

So this is real and rational number.

If you want to learn more about rational and irrational numbers:

brainly.com/question/12088221

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