Question

1. Complete parts (a) and (b) for each of the following statements.

Statement 1: The product is greater than one of the factors.
Statement 2: The product is less than each factor.
Statement 3: The product is equal to one of the factors.
(a) Use these numbers to create a multiplication expression that gives an example of the statement.
12 1/5 3/3 5/6
(b) How do you know your expression satisfies the statement without calculating the product?

Answer 1

Statement 1: 12*5/6 = 10. 10 > 5/6 but < 12. Statement 2: 1/5*5/6 = 1/6. 1/6 < 1/5 and 1/6 < 5/6. Statement 3: 12*3/3 = 12. 12 = 12. We know that the expression satisfies the statement 1 because we are multiplying the first factor by a fraction less than one, so the product cannot be more than the first factor. Statement 2: we are multiplying to two fractions together which results in an even smaller fraction. Statement 3: you’re multiplying the factor by 1, which results in the product equaling one of the factors.