Word definition: The multiplicative property states that any number multiplied by its reciprocal (one over the number as a fraction) yields a product of one.
Numeric Form: 1/7 x 7 = 1
Algebraic Form: m x 1/m = 1
Proof: m x 1/m = m/1 x 1/m = m/m = 1
Example:
You are making cookies. The recipe calls for 2 and 3/4 cups of sugar, but you only have a 1/3 cup measuring spoon. How many of the 1/3 cup spoonfuls will you need to make 2 and 3/4 cups?
Solution:
First, convert 2 and 3/4 to an improper fraction: 11/4 (4 x 2 + 3 to get the numerator. Keep the same denominator).
Then, divide 11/4 by 1/3:
11/4 ÷ 1/3 = 11/4 x 3/1 = 33/4 = 8 and 1/4 spoonfuls.
You will need to fill the 1/3 cup spoon 8 times and then add 1/4 of the 1/3 cup.
