5.NF.B.5

Standard

Interpret multiplication as scaling (resizing), by:

Sub-standards

• 5.NF.B.5.a — Comparing 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.
• 5.NF.B.5.b — Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.