5th Grade Multiplication as Scaling Worksheet (PDF)

Without multiplying, decide whether \(8 \times \frac{3}{4}\) is greater than, less than, or equal to 8. Explain.

Without multiplying, decide whether \(6 \times \frac{5}{4}\) is greater than, less than, or equal to 6.

Without multiplying, decide whether \(7 \times \frac{4}{4}\) is greater than, less than, or equal to 7.

Order the products from least to greatest: \(10 \times \frac{1}{2}\), \(10 \times \frac{3}{2}\), and \(10 \times 1\). Use the bars to help.

Write <, >, or = in each blank without calculating.

1. \(9 \times \frac{7}{8}\) ___ 9
2. \(9 \times \frac{9}{8}\) ___ 9
3. \(9 \times \frac{8}{8}\) ___ 9

Is \(\frac{5}{6} \times \frac{1}{2}\) greater than or less than \(\frac{5}{6}\)? Then find the product.

Find \(12 \times \frac{3}{4}\). Is the product greater than or less than 12?

Find \(6 \times \frac{5}{3}\). Is the product greater than or less than 6?

Find \(\frac{2}{3} \times \frac{3}{4}\). Is the product greater than or less than each factor?

A ribbon is 8 inches long. Ethan cuts a new ribbon that is \(\frac{3}{4}\) as long. How long is the new ribbon?

Which of these products are greater than 14? \(14 \times \frac{2}{3}\), \(14 \times \frac{7}{6}\), \(14 \times 1\), \(14 \times \frac{5}{4}\). Use the scale factors, then check by calculating.

Find \(2\frac{1}{2} \times \frac{4}{5}\). Is the product greater than or less than \(2\frac{1}{2}\)?

Find \(3\frac{1}{3} \times 1\frac{1}{5}\). Is the product greater than or less than \(3\frac{1}{3}\)?

Find \(\frac{1}{4} \times 8\) and \(\frac{5}{4} \times 8\). Explain why one product is less than 8 and the other is greater than 8.

Jamal’s pancake recipe uses 3 cups of flour. He makes \(1\frac{1}{2}\) times the recipe for a team breakfast. Will he need more or less than 3 cups of flour? How much flour does he need?

Sofia’s puppy weighs 8 pounds. Her kitten weighs \(\frac{3}{4}\) as much as the puppy. Does the kitten weigh more or less than the puppy? How much does the kitten weigh?

Priya enlarges a photo that is 6 inches wide. The new photo is \(\frac{5}{2}\) times as wide. Will the new photo fit in a frame that is 12 inches wide?

Last week, Mei’s plant was \(2\frac{1}{4}\) feet tall. This week it is \(\frac{4}{3}\) times as tall. How tall is the plant now? How many feet did it grow?

In a Little League tournament, Team A scored 12 runs. Team B scored \(\frac{2}{3}\) as many runs as Team A. Team C scored \(\frac{5}{4}\) as many runs as Team A. How many runs did Teams B and C score? Which team scored the most?

At the school store, a pencil costs $0.80. An eraser costs \(\frac{3}{4}\) as much as a pencil. A notebook costs \(2\frac{1}{2}\) times as much as a pencil. What do the eraser and the notebook cost? What is the total cost of one pencil, one eraser, and one notebook?