Multiplying fractions as scaling - fractions, whole number fractions, and mixed numbers against a whole number. Students must decide if the product will be less than, greater than, or equal to the whole number and must justify their answer.
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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.
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.
Interpret multiplication as scaling (resizing), by: