Question

Identify the two rational numbers 2.7182818459, 2.777777, square root 3, -7/3

Answer 1

2.777777 and -7/3

Explanation:

2.7182818459 cannot be written in fraction form therefore it is irrational.

2.777777 is rational because it can be written as the fraction 25/9

The square root of 3 is 1.7320508075688772, this number cannot be written as a fraction so it is irrational.

-7/3 is rational because it is already in fraction form.

Answer 2

2.777777 and -7/3

Explanation:

If a number can be defined in the form of p/q where q≠0, then it is called rational number.

If a decimal number is repeating then it is a rational number because it can be written in the form of p/q.

For example: 1.222, 3/5, 2.5, -1/2, 4.0707007...

All real numbers which are not rational numbers are called irrational numbers.

For example: 0.2357835.., √2, π.

In the given numbers,

Rational numbers = 2.777777, -7/3

Irrational numbers = 2.7182818459 and √3

Therefore the two rational numbers are 2.777777 and -7/3.