Question

What number groups does -2 belong in?​

Answer 1

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

Answer 2

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                    What number groups does -2 belong in?

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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 $\bold{\sqrt{2}}$, or you may have heard of $\pi$, 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 $\bold{x^2=-1}$. They are also called "complex numbers".

Now that we know all the sets of numbers, let's answer this question:-

$\textsf{ What number groups does -2 belong in?}$

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:-

❖ $\bold{-\dfrac{2}{1}}$

So we conclude that -2 is:-

• an integer ✓
• a rational number ✓
• a real number  ✓

◔Good luck.◆

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