Question

Which statement about the product is true? 4.56zx 4.5 repeating

Answer 1

answer
product is rational
cause
4.5 (5repeat) = 41/9

so

41/9 x 456/100 = rational

Answer 2

The answer is rational.

Explanation:

Given expression is :

`4.56*4.5` (5 repeating)

Lets convert this in fraction form.

Suppose x = 4.555....

Multiplying by 10 on both sides;

`10x=45.555`

Subtracting x from 10x

`9x=45.555-4.555=41`

We get

x=41/9

Now multiplying 45.6 or 456/100(fraction form) and 41/9, we get 18696/900

This is rational.