Answer:
real , rational and integer
Step-by-step explanation:
it is an integer because all the negative numbers and positive numbers belong to the group integers
it is a rational number because rational numbers are divided into 3 groups which are natural numbers , whole numbers, and integers
it is a real number because real numbers are divided into two rational and irrational numbers
number system
real numbers imaginory numbers
rational numbers irrational numbers
whole numbers ,natural numbers, integers
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What number groups does -2 belong in?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First, let's take a look at some number groups.
The first one is:-
❖ Natural numbers. This set consists of positive numbers only.
◈ Example:- 4, 6, 12, 436... any positive number is included in the "Natural numbers" set.
The next set is:-
❖ Whole numbers. This set includes all natural numbers plus zero.
Negative numbers are still not included.
The next set is:-
❖ Integers. This set includes all whole numbers plus negative numbers. Fractions are not included in this set.
The next set does include fractions, and it's called
❖ Rational numbers. This set consists of integers and, as I mentioned before, fractions.
Another number set is as follows:-
❖ Irrational numbers. This set includes numbers that cannot be expressed as fractions, like [tex]\bold{\sqrt{2}}[/tex], or you may have heard of [tex]\pi[/tex], which is also irrational, meaning that we cannot express π as a fraction, because it has an infinite number of digits after the decimal point.
Finally, the set that includes all numbers (or almost all) is called:-
❖ Real numbers. This set includes rational, irrational numbers, integers... almost everything.
There's another set of numbers:-
❖ Imaginary numbers. This set consists of numbers that were imagined. Such numbers come in handy when it comes to solving some equations, like [tex]\bold{x^2=-1}[/tex]. They are also called "complex numbers".
Now that we know all the sets of numbers, let's answer this question:-
[tex]\textsf{ What number groups does -2 belong in?}[/tex]
First, it's negative, so it's not a whole number or a natural one.
It is an integer, because negative numbers are included in the "integers" set.
It can be expressed as a fraction, which is as follows:-
❖ [tex]\bold{-\dfrac{2}{1}}[/tex]
So we conclude that -2 is:-
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