Interpret multiplication as scaling (resizing) by 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.

Sample Practice Questions (3)

Look at the tape diagram below. If the 'Original' bar represents a number

n

, and the 'Scaled' bar represents

n \times f

, what can you conclude about the value of the fraction

f

f > 1

f < 1

f = 1

f = 0

Look at the fraction bar shown below. If the number

12

is multiplied by the fraction represented by the shaded part of the bar, will the product be greater than, less than, or equal to

12

AGreater than

12

BLess than

12

CEqual to

12

DExactly

15

Look at the fraction bar shown below. If this bar represents the scaling factor applied to the number

10

, how does the product compare to

10

AThe product is

5

, which is less than

10

BThe product is

10

, which is equal to

10

CThe product is

20

, which is greater than

10

DThe product is

15

, which is greater than

10

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