Standard(s):
[MA2019] (5) 13 : 13. Interpret multiplication as scaling (resizing).
a. Compare the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
Example: Use reasoning to determine which expression is greater? 225 or 3/4 × 225; 11/50 or 3/2 × 11/50
b. Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and relate the principle of fraction equivalence.
c. Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number and relate the principle of fraction equivalence.
