Multiplying Decimals Worksheet

Name:

Date:

Part 1: Place Value and Multiplying by 10, 100 and 1000

Worked example: To calculate 2.4 × 1.3, multiply as whole numbers: 24 × 13 = 312. There are two decimal places altogether, so the answer is 3.12.

When multiplying by 10, 100 or 1000, each digit moves one, two or three places to the left.

1. Calculate: 3.7 × 10 = ________

2. Calculate: 0.56 × 100 = ________

3. Calculate: 4.008 × 1000 = ________

4. Calculate: 0.093 × 100 = ________

Part 2: Multiplying Decimals

For each question, estimate first. Then calculate accurately and show your working.

5. Estimate and calculate: 3.6 × 7

Estimate: ________ Answer: ________

6. Estimate and calculate: 12.45 × 8

Estimate: ________ Answer: ________

7. Estimate and calculate: 2.4 × 1.5

Estimate: ________ Answer: ________

8. Estimate and calculate: 0.75 × 0.6

Estimate: ________ Answer: ________

Part 3: Real-World Problems and Challenge

Estimate first for every problem. Include units in your answers.

9. Money: A notebook costs $4.75. How much do 6 notebooks cost?

Estimate: ________ Answer: $________

10. Length and mass: A walking track is 1.25 km long. Mia walks around it 4 times. A water bottle has a mass of 0.65 kg. What is the total distance walked and the mass of 3 bottles?

Distance estimate: ________ Distance: ________ km

Mass estimate: ________ Mass: ________ kg

11. Area: A rectangular garden is 3.6 m long and 2.5 m wide. Calculate its area in square metres.

Estimate: ________ Answer: ________ m²

12. Challenge: A school buys 8 packs of coloured card at $6.75 per pack and 3 rolls of tape at $2.40 per roll. What is the total cost? If the school pays with $100, how much change will it receive?

Estimate: ________