5th Grade Multiplying and Dividing Decimals Worksheets with Answers (Free PDF)

5th grade multiplying decimals worksheet – Maths PDF

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This 5th grade multiplying decimals worksheet covers multiplying and dividing decimals (Common Core 5.NBT.B.7), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice multiplying and dividing decimals with models, estimation, and real situations.

Topic: Multiplying and Dividing Decimals (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.NBT.B.7
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 and dividing decimals with models, estimation, and real situations. Also, grids, tape diagrams, and shopping and measuring stories show where decimal operations appear.

There are 20 problems. The first seven multiply decimals, including a grid model and zeros in the product. The next seven divide decimals by whole numbers and by decimals, including a tape diagram. Then, the last six are word problems about apples, ribbon, unit price, movie tickets, trail markers, and garden soil. Also, allow about 35 minutes.

These 20 problems practice multiplying and dividing decimals to hundredths, as listed in standard 5.NBT.B.7. The first problems use models and basic place value. Later problems divide by whole numbers and by decimals.

The last six problems are word problems about shopping, ribbon, trails, and gardens. Show every step and check each answer with an estimate.

Grade 5 · Common Core State Standards: 5.NBT.B.7

5th grade multiplying decimals worksheet: worksheet problems 1 to 10

1 – Tenths times a whole number

First, multiply: $0.7 \times 6$.

2 – Hundredths times a whole number

Next, find $0.06 \times 7$.

3 – Product from a model

Then, write the multiplication sentence shown by the grid. Find the product.

The whole grid is 1. Each small square is 0.01.

4 – Decimal times tenths

Now, calculate $4.2 \times 0.5$.

5 – Two decimal factors

Also, find $3.6 \times 2.4$.

6 – Hundredths and tenths

First, multiply: $0.25 \times 0.4$.

7 – Zeros in the product

Next, find $0.05 \times 0.2$.

8 – Divide tenths by a whole number

Then, the tape diagram shows 4.8 shared into 4 equal parts. Find the value of one part.

Each of the 4 equal parts has the same value.

9 – Divide hundredths by a whole number

Now, find $7.56 \div 6$.

10 – Quotient less than 1

Also, divide: $0.72 \div 9$.

Worksheet problems 11 and up

11 – Keep dividing with zeros

First, calculate $9.3 \div 5$.

12 – Divide by tenths

Next, find $6.3 \div 0.9$. Multiply both numbers by the same power of 10 first.

Complete the boxes.

13 – Divide by hundredths

Then, find $1.44 \div 0.12$.

14 – Decimal divided by decimal

Now, calculate $0.72 \div 0.4$.

15 – Apples at the market

Maya buys 3.5 pounds of apples at the farmers market. Apples cost $1.80 per pound. Find the total cost.

Maya buys 3.5 pounds of apples.

16 – Ribbon for bows

Sofia cuts 12 pieces of ribbon for bows. Each piece is 0.65 yard long. She starts with a 10-yard roll. How many yards of ribbon are left?

17 – Unit price

Ethan pays $14.40 for 1.8 pounds of trail mix. Find the price of 1 pound.

18 – Movie tickets

Priya buys 4 movie tickets for $8.75 each. She pays with two $20 bills. How much change does she get?

19 – Trail markers

Now, a park trail is 5.4 miles long. Diego puts a sign every 0.45 mile along the trail. How many equal sections does the trail have?

20 – Garden soil

Aisha’s garden bed is a rectangle 3.6 feet wide and 2.5 feet long. Soil costs $0.75 per square foot. Find the area of the bed and the cost to cover it.

Aisha’s garden bed.

Key facts behind this 5th grade multiplying decimals worksheet

Key facts

The product of two decimals has as many decimal places as both factors together.
Next, a hundredths grid shows 0.3 times 0.4 as 12 squares, which is 0.12.
When dividing by a whole number, keep the decimal point in line.
Multiplying both numbers by 10, 100, or 1,000 does not change a quotient.
Estimate first to check where the decimal point belongs.

Common mistakes with this 5th grade multiplying decimals worksheet

Students place the decimal point wrongly in a product. Also, if the factors have three decimal places in all, the product has three.
Students lose a zero in a product like 0.03 times 0.2. Instead, count the places, and add zeros as needed to the left.
Students stop dividing at a remainder when more zeros can be added. Also, keep dividing until the remainder is zero.
Students multiply only the divisor when they scale a division. Instead, multiply the dividend by the same power of ten.

Tips before you start the worksheet problems

Estimate every product and quotient first. Then, rounding each number tells you roughly where the answer should be.
Check each division by multiplying the quotient by the divisor. The result should match the dividend. Repeat this habit on every problem for the best results.
Teachers can ask students to explain one decimal place by shading a grid. Repeat this habit on every problem for the best results.

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

5th grade multiplying decimals worksheet: frequently asked questions

How do you multiply two decimals?

Multiply as if there were no decimal points, then place the point by counting decimal places in both factors. For 1.2 times 0.3, 12 times 3 is 36, and with two places the product is 0.36.

How do you find a unit price?

Divide the total cost by the amount. If 2.4 pounds cost 9.60 dollars, divide 9.60 by 2.4 to get 4 dollars per pound. Scale both numbers by 10 first if you divide by a decimal.

How do you find the area of a rectangle with decimal sides?

Multiply the length and the width, then count decimal places. A rectangle 1.5 feet by 2.2 feet has an area of 3.3 square feet. Always write square units. 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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