5th Grade Multiplying Multi-Digit Whole Numbers Worksheets with Answers (Free PDF)

5th grade multi digit multiplication worksheet – Maths PDF

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This 5th grade multi digit multiplication worksheet covers multiplying multi-digit whole numbers (Common Core 5.NBT.B.5), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice multiplying multi-digit whole numbers with the standard algorithm, area models, and estimates.

Topic: Multiplying Multi-Digit Whole Numbers (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.NBT.B.5
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 multiplying multi-digit whole numbers with the standard algorithm, area models, and estimates. Also, real situations such as crates, seats, and trays show where large products appear.

There are 20 problems. The first three multiply by one digit and by a multiple of ten, and the next four use area models and two digit by two digit products. Then, the middle group multiplies three and four digit numbers, including zeros in a factor, and finds a mistake. Also, the last six are word problems about crates, a road trip, seats, a bake sale, water bottles, and marker boxes. Then, allow about 40 minutes.

These 20 problems build fluency with multiplying multi-digit whole numbers (Common Core 5.NBT.B.5). You will use the standard algorithm, estimate products, spot mistakes and use area models to see why partial products work.

Start with one-digit and two-digit factors. The last six problems are word problems with more than one step. Estimate before you multiply, and check your answer against your estimate.

Grade 5 · Common Core State Standards: 5.NBT.B.5

5th grade multi digit multiplication worksheet: worksheet problems 1 to 10

1 – Two digits by one digit

First, find the product: $47\times6$.

2 – Three digits by one digit

Next, find the product: $358\times7$.

3 – Multiply by a multiple of ten

Then, find the product: $63\times40$.

4 – Area model 34 times 26

Now, find $34\times26$. Use the area model to fill in the four partial products.

Fill each box.

5 – Two digits by two digits

Also, find the product: $78\times45$.

6 – Estimate first

First, estimate $58\times31$ by rounding each factor to its greatest place. Then find the exact product.

Fill in the blanks.

7 – Three digits by two digits

Next, find the product: $246\times35$.

8 – Zero in the middle

Then, find the product: $507\times28$.

9 – Larger factors

Now, find the product: $689\times47$.

10 – Zeros in a factor

Also, find the product: $250\times36$.

Worksheet problems 11 and up

11 – Three digits by three digits

First, find the product: $314\times215$.

12 – Four digits by two digits

Next, find the product: $1{,}486\times32$.

13 – Draw an area model

Then, use the area model to find $52\times37$.

Fill each box.

14 – Jamal's mistake

Jamal finds $45\times23$ this way: $45\times3=135$, $45\times2=90$, and $135+90=225$. Explain his mistake and find the correct product.

15 – Orange crates

Also, a farmers market stand sells 36 crates of oranges. Each crate holds 48 oranges. How many oranges are there?

Each crate holds 48 oranges.

16 – Road trip miles

First, on a road trip, a bus drives 62 miles each hour for 14 hours. How many miles does the bus drive?

17 – Auditorium seats

Next, the school auditorium has 28 rows. Each row has 35 seats. How many seats are in the auditorium?

35 seats in each row, 28 rows (only 6 rows are drawn).

18 – Bake sale money

Sofia bakes 15 trays of cookies with 24 cookies on each tray. She sells every cookie for $\$2$. How many cookies does she bake, and how much money does she earn?

19 – Water bottles

Now, a Little League has 12 teams. Each team has 14 players. Every player gets 3 water bottles. How many water bottles does the league give out?

Worksheet problem 20 and after

20 – Marker boxes

Priya’s school buys 125 boxes with 24 markers each and 36 boxes with 15 markers each. How many markers does the school buy in all?

Key facts behind this 5th grade multi digit multiplication worksheet

Key facts

A partial product comes from multiplying by one digit of the bottom number.
Next, write a placeholder zero when you multiply by tens, hundreds and so on.
Add all partial products to get the final product.
Then, estimate by rounding each factor to its greatest place before you multiply.
An area model splits each factor by place value and shows the same partial products.

Common mistakes with this 5th grade multi digit multiplication worksheet

Students leave out the placeholder zero when they multiply by tens. Instead, the row for tens must start with a zero.
Students drop a zero inside a factor such as 308. Also, multiply by every digit, and keep the zero’s place.
Students stop after one product in a multi-step story. Use each product in the next step. Slow down at that step and check it twice.
Students skip the estimate. Instead, rounding each factor to its greatest place shows whether the product has the right size.

Tips before you start the worksheet problems

Write the placeholder zero before you start the second row. Doing it first makes it hard to forget.
Check each product with an estimate. Then, a product far from the estimate has a slip. Repeat this habit on every problem for the best results.
Teachers can ask students to explain one mistake in words, naming the partial product that was wrong. Repeat this habit on every problem for the best results.

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

5th grade multi digit multiplication worksheet: frequently asked questions

How do you estimate a product of a three digit and a two digit number?

Round each factor to its greatest place and multiply. For 412 times 38, round to 400 times 40, which is 16,000. The exact product should be near 16,000. A quick check like this takes only a few seconds and prevents most errors.

How do you multiply by a number that ends in zero?

Multiply by the nonzero digits, then add the zeros. For 250 times 12, multiply 25 times 12 to get 300, then add one zero to get 3,000. A quick check like this takes only a few seconds and prevents most errors.

How do you solve a story with two products?

Find each product, then add or subtract as the story says. If a school buys 30 boxes of 12 and 20 boxes of 10, find 360 and 200, and add them. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

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