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Multiplication Rounding and Compensation

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Multiplication Rounding and Compensation

Students solving multiplication problems

🎯 WALT: Round numbers to make multiplication easier

1. Round these numbers to the nearest 10:

a) 23 rounds to ______

b) 37 rounds to ______

c) 42 rounds to ______

d) 58 rounds to ______

2. Which number would be easier to multiply?

23 × 4

20 × 4

3. Solve these rounded multiplication problems:

a) 20 × 4 = ______

b) 40 × 5 = ______

c) 60 × 3 = ______

🔧 WALT: Use compensation to find exact answers

4. Complete this compensation example:

Problem: 22 × 5

Step 1: Round 22 to ______ (easier number)

Step 2: ______ × 5 = ______ (rounded answer)

Step 3: Add back: ______ × 5 = ______ (compensation)

Step 4: Final answer: ______ + ______ = ______

5. Try compensation on your own:

Problem: 28 × 3

Show your working above, then write your final answer: ______

6. Which problems need compensation after rounding?

30 × 4 (from 30 × 4)

20 × 6 (from 23 × 6)

50 × 2 (from 50 × 2)

40 × 3 (from 37 × 3)

🌟 WALT: Solve real-world problems using rounding and compensation

7. Word Problem: A baker makes 24 muffins each day. How many muffins does she make in 6 days?

Answer: ______ muffins

8. Extension Challenge: A school has 18 classes with 27 students in each class. Estimate the total number of students using rounding and compensation.
9. Reflection: Explain in one sentence why rounding makes multiplication easier.

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