Math worksheet for practicing multiplication and division by 10, 100, and 1000, illustrated with a cartoon character explaining the concept.

Let's solve the worksheet step by step and explain each part clearly.

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1. What happens to a number when it is:

This question tests your understanding of how multiplying or dividing by 10, 100, or 1000 affects a number.

a) multiplied by 10
→ The digits move one place to the left (or the decimal point moves one place to the right).
Example: 5.6 × 10 = 56

b) multiplied by 100
→ The digits move two places to the left (decimal point moves two places right).
Example: 5.6 × 100 = 560

c) divided by 10
→ The digits move one place to the right (decimal point moves one place left).
Example: 56 ÷ 10 = 5.6

d) divided by 100
→ The digits move two places to the right (decimal point moves two places left).
Example: 56 ÷ 100 = 0.56

✔ Answers:
- a) The digits move one place to the left.
- b) The digits move two places to the left.
- c) The digits move one place to the right.
- d) The digits move two places to the right.

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2. Multiply these numbers by 1000:

When you multiply by 1000, the digits move three places to the left (or decimal point moves three places right).

Let’s do each:

a) 23 × 1000 = 23,000
(23 → move decimal 3 places right → 23,000)

b) 45.7 × 1000 = 45,700
(45.7 → move decimal 3 places right → 45,700)

c) 0.936 × 1000 = 936
(0.936 → move decimal 3 places right → 936)

d) 68.34 × 1000 = 68,340
(68.34 → move decimal 3 places right → 68,340)

e) 0.0723 × 1000 = 72.3
(0.0723 → move decimal 3 places right → 72.3)

f) 23.9 × 1000 = 23,900
(23.9 → move decimal 3 places right → 23,900)

✔ Summary:
When you multiply a number by 1000, the digits move three places to the left (or the decimal point moves three places to the right).

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3. Divide these numbers by 1000:

Dividing by 1000 means moving the digits three places to the right (or decimal point three places left).

a) 24,000 ÷ 1000 = 24
(Move decimal 3 places left → 24.000 → 24)

b) 9,825 ÷ 1000 = 9.825
(Move decimal 3 places left → 9.825)

c) 831.1 ÷ 1000 = 0.8311
(Move decimal 3 places left → 0.8311)

d) 29.4 ÷ 1000 = 0.0294
(Move decimal 3 places left → 0.0294)

e) 17.8 ÷ 1000 = 0.0178
(Move decimal 3 places left → 0.0178)

f) 555 ÷ 1000 = 0.555
(Move decimal 3 places left → 0.555)

✔ Summary:
When you divide a number by 1000, the digits move three places to the right (or the decimal point moves three places to the left).

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✔ Final Answers Summary:

#### Question 1:
a) Moves one place to the left
b) Moves two places to the left
c) Moves one place to the right
d) Moves two places to the right

#### Question 2: Multiplying by 1000
a) 23,000
b) 45,700
c) 936
d) 68,340
e) 72.3
f) 23,900
👉 When you multiply by 1000, the digits move three places to the left.

#### Question 3: Dividing by 1000
a) 24
b) 9.825
c) 0.8311
d) 0.0294
e) 0.0178
f) 0.555
👉 When you divide by 1000, the digits move three places to the right.

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💡 Tip from the cartoon: "It's all about moving digits to the left or to the right. Easy eh!"
✔️ Yes! Just remember:
- Multiply → move digits left (or decimal right)
- Divide → move digits right (or decimal left)
And count the zeros:
- 10 → 1 move
- 100 → 2 moves
- 1000 → 3 moves

You’ve got it! 🎉