Question

Please help with number 7

Answer 1

`\pi` is a Irrational Number .

`√(12)` is a Irrational Number .

3.14 is a Rational Number .

`4 . \overline{123}` is a Rational Number .

`√(49)` is Natural, Whole, Rational Number and Integer .

`-(240)/(6)` is Integer and Rational number.

Explanation:

In order to answer this question, we need to know what are Natural Numbers, Whole Numbers, Integer, Rational and Irrational Numbers.

• Natural Numbers are those numbers which we use to count on a daily basis, starting from 1, 2, 3, and so on.

• Whole Numbers are simple the numbers including 0 along with Natural Numbers. Integers are Whole numbers including negative values as well with them.

• Any number which can be resembled as a fraction of two integers is known as Rational Number.

• Any number which is not Rational Number is known as Irrational Number, i.e., any number which cannot be represented as a fraction of two integers is known as Irrational Number.

We cannot represent
`\pi` as a fraction of two integers and hence is Irrational.

`√(12)` can be simplified as
`√((4 * 3))=2 * √(3) * √(3)` again cannot represent the same as a fraction of two integers, and
`√(12)` is irrational.

3.14 can be represented in terms of
`(314)/(100)=(157)/(50)`, and hence it is a Rational Number.

`4 . \overline{123}` is the case of Repeating decimals, and repeating decimals are always Rational Numbers.

`√(49)` is equal to 7 and hence is Natural Number. 7 can also be included in the whole number, rational number and Integer.

`-(240)/(6)` is equal to -40, so it is Integer and Rational Number.