Which statement about the product 6.57 x 2.67534 is true? Show your work

a) the product is irrational
b) the product is rational
c) the product is neither rational nor irrational
d) The nature of the product cannot be determined.

1 answer

To determine if the product 6.57 x 2.67534 is rational or irrational, we need to multiply these numbers and see if the result can be expressed as a fraction or as a terminating or repeating decimal.

6.57 * 2.67534 = 17.5736978

Since 17.5736978 is a terminating decimal (it has a finite number of decimal places), we can express it as a fraction. Therefore, the product is rational.

Therefore, the correct statement is:

b) the product is rational