Question

Which table best classifies the following numbers as rational and irrational?

negative 2 over 5., square root of 7., 1.5, 0 point 3 bar., square root of 9.


A)Rational negative 2 over 5., 1.5, 0 point 3 bar., square root of 9.
Irrational square root of 7.

B)Rational square root of 7.
Irrational negative 2 over 5., 1.5, 0 point 3 bar., square root of 9.

C)Rational negative 2 over 5., 1.5, 0 point 3 bar.
Irrational square root of 7., square root of 9.

D)Rational square root of 7., square root of 9.
Irrational negative 2 over 5., 1.5, 0 point 3 bar.

Answer 1

A) Rational: negative 2 over 5, 1.5, 0 point 3 bar, square root of 9
Irrational: Square root of 7

Answer 2

Option A

Explanation:

Given : terms = -2/5., square root of 7, 1.5, 0.333......, square root of 9.

To classify : Rational and irrational numbers

Rational numbers : It can be written as a fraction or a repeating digits to the right of the decimal point have end.

Irrational numbers: are those having endless non-repeating digits to the right of the decimal point.

We see term by term,

• -2/5=-0.4 -- rational number

• square root of 7 =2.645751311064590590501615753639260425710259183082450180368.. --irrational number

• 1.5 = 3/2 --rational number

• 0.3333...... -- rational number

• square root of 9 = 3-- rational number

Therefore Option A is correct

Rational -negative 2 over 5., 1.5, 0 point 3 bar., square root of 9.

Irrational - square root of 7.