Let's solve each problem step by step using the
distributive property of multiplication, which states:
> $ a \times (b + c) = (a \times b) + (a \times c) $
This means we break one number into two parts, multiply each part by the other number, and then add the results.
---
🔹 Problem 1: $ 12 \times 4 $
We are given:
$$
12 \times 4 = (10 + 2) \times 4
$$
Now apply distributive property:
$$
= (10 \times 4) + (2 \times 4)
= 40 + 8
= 48
$$
✔ Answer: 48
---
🔹 Problem 2: $ 4 \times 14 $
Break 14 into $ 10 + 4 $:
$$
= 4 \times (10 + 4)
= (4 \times 10) + (4 \times 4)
= 40 + 16
= 56
$$
✔ Answer: 56
---
🔹 Problem 3: $ 3 \times 18 $
Break 18 into $ 10 + 8 $:
$$
= 3 \times (10 + 8)
= (3 \times 10) + (3 \times 8)
= 30 + 24
= 54
$$
✔ Answer: 54
---
🔹 Problem 4: $ 22 \times 8 $
Break 22 into $ 20 + 2 $:
$$
= (20 + 2) \times 8
= (20 \times 8) + (2 \times 8)
= 160 + 16
= 176
$$
✔ Answer: 176
---
🔹 Problem 5: $ 4 \times 25 $
Break 25 into $ 20 + 5 $:
$$
= 4 \times (20 + 5)
= (4 \times 20) + (4 \times 5)
= 80 + 20
= 100
$$
✔ Answer: 100
---
🔹 Problem 6: $ 18 \times 6 $
Break 18 into $ 10 + 8 $:
$$
= (10 + 8) \times 6
= (10 \times 6) + (8 \times 6)
= 60 + 48
= 108
$$
✔ Answer: 108
---
✔ Final Answers Filled In:
#### ① $ 12 \times 4 $
$$
= (10 + 2) \times 4 \\
= (10 \times 4) + (2 \times 4) \\
= 40 + 8 \\
= 48
$$
#### ② $ 4 \times 14 $
$$
= 4 \times (10 + 4) \\
= (4 \times 10) + (4 \times 4) \\
= 40 + 16 \\
= 56
$$
#### ③ $ 3 \times 18 $
$$
= 3 \times (10 + 8) \\
= (3 \times 10) + (3 \times 8) \\
= 30 + 24 \\
= 54
$$
#### ④ $ 22 \times 8 $
$$
= (20 + 2) \times 8 \\
= (20 \times 8) + (2 \times 8) \\
= 160 + 16 \\
= 176
$$
#### ⑤ $ 4 \times 25 $
$$
= 4 \times (20 + 5) \\
= (4 \times 20) + (4 \times 5) \\
= 80 + 20 \\
= 100
$$
#### ⑥ $ 18 \times 6 $
$$
= (10 + 8) \times 6 \\
= (10 \times 6) + (8 \times 6) \\
= 60 + 48 \\
= 108
$$
---
🎯 Summary of All Answers:
| Problem | Answer |
|--------|--------|
| ① $12 \times 4$ | 48 |
| ② $4 \times 14$ | 56 |
| ③ $3 \times 18$ | 54 |
| ④ $22 \times 8$ | 176 |
| ⑤ $4 \times 25$ | 100 |
| ⑥ $18 \times 6$ | 108 |
Let me know if you'd like this as a printable PDF or want to see visual models!
Parent Tip: Review the logic above to help your child master the concept of math worksheet distributive property.
