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.
<h3>
To which set each number belong?</h3>
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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