Back to Exercise: Interpret multiplication as scaling (resizing)

Exercises: Multiplication as Scaling

For most problems in this set, do NOT compute the exact product. Reason about the
size of the scale factor compared to 1, and use that to predict the direction of
the change.

Grade 5·22 problems·~27 min·Common Core Math - Grade 5·standard·5-nf-b-5

Printable layout

Recall / Warm-Up

These problems review skills you already know.

Is $\frac{5}{3}$ greater than, less than, or equal to 1?

Greater than 1

Less than 1

Equal to 1

On a number line with 6 marked, does $4 \times 6$ stretch 6 to the right, shrink it to the left, or leave it in place?

Stretch it to the right (a bigger number)

Shrink it to the left (a smaller number)

Leave it in place (the same number)

Fill in the equivalent fraction: $\frac{3}{5} = \frac{\hspace{0.2em}\fbox{\phantom{000000}}\hspace{0.2em}}{10}$

Fluency Practice

Without computing, is $5 \times \frac{3}{8}$ greater than, less than, or equal to $\frac{3}{8}$ ?

Greater than $\frac{3}{8}$

Less than $\frac{3}{8}$

Equal to $\frac{3}{8}$

Without computing, is $\frac{2}{9} \times 7$ greater than, less than, or equal to 7?

Greater than 7

Less than 7

Equal to 7

Without computing, is $\frac{8}{8} \times 15$ greater than, less than, or equal to 15?

Greater than 15

Less than 15

Equal to 15

Without computing, is $\frac{11}{6} \times 9$ greater than, less than, or equal to 9?

Greater than 9

Less than 9

Equal to 9

Without computing, is $\frac{3}{10} \times \frac{1}{2}$ greater than, less than, or equal to $\frac{1}{2}$ ?

Greater than $\frac{1}{2}$

Less than $\frac{1}{2}$

Equal to $\frac{1}{2}$

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