Question

You have to label each number

Answer 1

• 5 is a rational number.
• -7.641 is a rational number.
• √(17) is an irrational number.
• √(49) is a rational number.

Explanation:

A rational number is a number that can be expressed as the ratio of two integers: p/q (where q ≠ 0). An integer is a whole number that can be positive, negative, or zero. Note: any integer can be expressed as a rational number by dividing it by 1.

An irrational number is a real number that cannot be written as a rational number.

The number 5 is a rational number as it can be expressed as 5/1.

`\implies 5=(5)/(1)`

If -7.641 is multiplied by 1000/1000 it becomes:

`\implies -7.641 \cdot (1000)/(1000)=-(7641)/(1000)`

which is a rational number.

The number 17 is a prime number, which means its only factors are 1 and itself. Therefore, as it is not a square number, the square root of 17 is an irrational number.

The number 49 is a perfect square. As 7² = 49 then √(49) = 7.

Since 7 is a positive integer, it can be expressed as a fraction by dividing it by 1, so √(49) is a rational number.

`\implies √(49)=7=(7)/(1)`