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Multiplying by 100
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Multiplying by 100
📊 Part 1: Understanding Place Value
1. What happens when you multiply 47 by 100?
The digits move one place to the left = 470
The digits move two places to the left = 4,700
You just add two zeros = 4700
2. Complete these multiplications by 100:
a) 23 × 100 = __________
b) 8 × 100 = __________
c) 156 × 100 = __________
d) 74 × 100 = __________
3. Which of these statements are correct? Tick all that apply:
Multiplying by 100 shifts digits two places to the left
6 × 100 = 600 because the 6 moves from ones to hundreds
Multiplying by 100 is the same as multiplying by 10 twice
You can multiply by 100 by just adding two zeros anywhere
🔍 Part 2: Explaining Your Thinking
4. Sam says "35 × 100 = 350 because you just add one zero." Is Sam correct? Explain your answer.
5. Explain in your own words what happens to the digits when you multiply 92 by 100.
6. Complete this sentence: "When I multiply by 100, every digit moves _______ places to the _______ because _________________________________."
🧠 Part 3: Problem Solving
7. A mystery number multiplied by 100 gives 2,400. What was the original number? Show your working.
8. Mrs Jones has £15. If she had 100 times as much money, how much would she have? Explain how you worked this out.
9. Challenge: If multiplying by 10 moves digits one place left, and multiplying by 100 moves digits two places left, how many places would digits move when multiplying by 1,000? Explain your reasoning.
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