5th Grade Multiplication as Scaling Worksheets with Answers (Free PDF)

5th grade multiplication as scaling worksheet – Maths PDF

Cover of the book Grade 5 Math Worksheets with Answers (PDF)

Download as a PDFThe Grade 5 worksheets book with answersPrintable PDFSee the book ›

Sommaire

This 5th grade multiplication as scaling worksheet covers multiplication as scaling (Common Core 5.NF.B.5a, 5.NF.B.5b), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice predicting and calculating products with fractions and mixed numbers, and explaining how scaling changes size.

Topic: Multiplication as Scaling (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.NF.B.5a, 5.NF.B.5b
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fifth grade students practice predicting and calculating products with fractions and mixed numbers, and explaining how scaling changes size. Also, bars and stories about ribbon, recipes, photos, and prices show how scale factors work.

There are 20 problems. The first six predict whether a product is greater than, equal to, or less than a factor, and the next six calculate and compare. Then, two problems use mixed numbers and two explain the effect of a scale factor. Also, the last eight are stories about ribbon, pancakes, a puppy, a photo, a plant, runs, and prices. Then, allow about 35 minutes.

These 20 problems practice multiplication as scaling, as described in standards 5.NF.B.5a and 5.NF.B.5b. Students predict whether a product is greater than, less than, or equal to a factor by comparing the scale factor with 1, and then check by calculating.

The last six problems are word problems about recipes, pets, photos, plants, baseball, and the school store. Use the bar models to see how numbers stretch or shrink.

Grade 5 · Common Core State Standards: 5.NF.B.5a, 5.NF.B.5b

5th grade multiplication as scaling worksheet: worksheet problems 1 to 10

1 – Predict the size

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

2 – Factor greater than 1

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

3 – Factor equal to 1

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

4 – Order the products

Now, 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.

The dashed line marks 10.

5 – Fill in the symbols

Also, write <, >, or = in each blank without calculating.

$9 \times \frac{7}{8}$ ___ 9
$9 \times \frac{9}{8}$ ___ 9
$9 \times \frac{8}{8}$ ___ 9

6 – Compare to one factor

First, is $\frac{5}{6} \times \frac{1}{2}$ greater than or less than $\frac{5}{6}$? Then find the product.

7 – Compute and compare

Next, find $12 \times \frac{3}{4}$. Is the product greater than or less than 12?

8 – Scaling up

Then, find $6 \times \frac{5}{3}$. Is the product greater than or less than 6?

Worksheet problem 9 and after

9 – Smaller than both factors

Now, find $\frac{2}{3} \times \frac{3}{4}$. Is the product greater than or less than each factor?

10 – Resize a ribbon

Also, a ribbon is 8 inches long. Ethan cuts a new ribbon that is $\frac{3}{4}$ as long. How long is the new ribbon?

The new ribbon is 3/4 as long as the old ribbon.

Worksheet problems 11 and up

11 – Which products are larger?

First, 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.

12 – Mixed number scaled down

Next, find $2\frac{1}{2} \times \frac{4}{5}$. Is the product greater than or less than $2\frac{1}{2}$?

13 – Mixed number scaled up

Then, find $3\frac{1}{3} \times 1\frac{1}{5}$. Is the product greater than or less than $3\frac{1}{3}$?

14 – Explain two products

Now, 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.

15 – Bigger batch of pancakes

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?

Jamal makes 1 1/2 times the recipe.

16 – Puppy and kitten

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?

The kitten weighs 3/4 as much as the puppy.

Worksheet problem 17 and after

17 – Enlarged photo

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?

18 – Plant growth

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?

19 – Little League runs

Now, 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?

Also, Team B scored 2/3 as many runs as Team A. Team C scored 5/4 as many.

20 – School store prices

Also, 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?

Key facts behind this 5th grade multiplication as scaling worksheet

Key facts

A scale factor greater than 1 makes the product larger.
Also, a scale factor equal to 1 leaves the product the same.
Also, a scale factor less than 1 makes the product smaller.
Then, a fraction times a fraction less than 1 is smaller than both factors.
Compare the factor to 1 to predict the size before you calculate.

Common mistakes with this 5th grade multiplication as scaling worksheet

Students say a product is greater when the scale factor is less than one. Check the factor first.
Students say a product is equal when the factor is close to one but not equal. Instead, only a factor of exactly one leaves the product the same.
Students compute the product but forget to compare it with the original. Also, always state greater or less.
Students pick the scaled amount as the original in a story. Instead, find which quantity is being scaled.

Tips before you start the worksheet problems

Rewrite each fraction as greater than, equal to, or less than one before you predict. Then, this one step settles the question.
Estimate before you calculate. Finally, a product near the original means a scale factor near one. Repeat this habit on every problem for the best results.
Teachers can ask students to sketch bars for one problem and explain the change. Repeat this habit on every problem for the best results.

Download the 5th grade multiplication as scaling worksheet as a PDF with the button below and keep it with your notes.

5th grade multiplication as scaling worksheet: frequently asked questions

How do you predict a product without calculating?

Look at the scale factor. So, if it is greater than one, the product is greater than the other factor. Also, if it equals one, the product is equal. If it is less than one, the product is less.

How do you order several products with the same factor?

Order the scale factors. The product with the smallest scale factor is the smallest. For products of 12 with one half, one, and three halves, the order follows the order of the factors. A quick check like this takes only a few seconds and prevents most errors.

How do you scale a recipe?

Multiply each ingredient by the same scale factor. For one and a half times a recipe with 4 cups, multiply 4 by three halves to get 6 cups. Use the same factor for every ingredient.

All Grade 5 chapters: Grade 5 math.

Voter.. post

Free printable PDF