Respuesta :

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

so

41/9 x 456/100 = rational

Answer:

The answer is rational.

Step-by-step explanation:

Given expression is :

[tex]4.56\times4.5[/tex]  (5 repeating)

Lets convert this in fraction form.

Suppose x = 4.555....

Multiplying by 10 on both sides;

[tex]10x=45.555[/tex]

Subtracting x from 10x

[tex]9x=45.555-4.555=41[/tex]

We get

x=41/9

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

This is rational.

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