Apply the Closure property to predict the answer. Will the product of 0.6... and 7/8 be an irrational or rational number?
1 answer
The product of 0.6... (a repeating decimal number) and 7/8 will result in a rational number. The Closure property of multiplication states that when any two rational numbers are multiplied, the result is always a rational number. Since 0.6... is a decimal representation of a rational number, and 7/8 is a rational number, their product will also be a rational number.