Question

plzplzplz help. 3questions, medal to whoever answers them.

Name the subset(s) of real numbers to which each number belongs:

1. squareroot of 43
2. -14
3. 0

Answer 1

It's probably -14 and 0.

Answer 2

Okay, so the subsets are (from largest to smallest), rational, integer, whole, natural. (see attachment)
Rational numbers are all numbers that can be expressed as a fraction.
Integers are all numbers and their opposites, including zero {...-3, -2, -1, 0, 1, 2, 3, ...}
Whole numbers are zero plus any whole positive number. {0, 1, 2, 3, 4, 5, ...}
Natural Numbers (aka counting) are numbers you'd use to count things {1, 2, 3, 4, 5, ...}
There is alos another set, called irrational, in which there are imaginary numbers or numbers such as decimals that never end. (pi is an example)
So, for the first one.

1. \[\sqrt{43} = 6.557438524...\]
This goes on forever, so the square root of 43 is an irrational number, and belongs to the subset "irrational numbers"

2. -14. This number is a negative, but can be represented by a fraction, so it belongs to the subsets rational and also integer. But it doesn't belong to the subsets Whole or natural because those subsets don't include negatives. Understand?

3. Can you do the third one by yourself?

Answer 3

is the last one a whole number..?

Answer 4

The last one belongs in the subsets rational, integer, and whole