Absolutely! Let’s solve each problem using the
distributive property, just like the example given:
>
Example:
> 3 × 23 = (3 × 20) + (3 × 3) = 60 + 9 =
69
The distributive property says:
a × (b + c) = (a × b) + (a × c)
We’ll break the second number (the one being multiplied) into tens and ones, then multiply each part by the first number, and add the results.
---
1. 10 × 21
Break 21 into 20 + 1
→ 10 × (20 + 1) = (10 × 20) + (10 × 1) = 200 + 10 =
210
---
2. 3 × 12
Break 12 into 10 + 2
→ 3 × (10 + 2) = (3 × 10) + (3 × 2) = 30 + 6 =
36
---
3. 8 × 26
Break 26 into 20 + 6
→ 8 × (20 + 6) = (8 × 20) + (8 × 6) = 160 + 48 =
208
---
4. 3 × 28
Break 28 into 20 + 8
→ 3 × (20 + 8) = (3 × 20) + (3 × 8) = 60 + 24 =
84
---
5. 4 × 23
Break 23 into 20 + 3
→ 4 × (20 + 3) = (4 × 20) + (4 × 3) = 80 + 12 =
92
---
6. 5 × 30
Break 30 into 30 + 0 (or just think of it as 3 tens)
→ 5 × (30 + 0) = (5 × 30) + (5 × 0) = 150 + 0 =
150
*(Note: You could also just do 5 × 30 directly since 30 is a round number.)*
---
7. 2 × 30
Break 30 into 30 + 0
→ 2 × (30 + 0) = (2 × 30) + (2 × 0) = 60 + 0 =
60
---
8. 2 × 23
Break 23 into 20 + 3
→ 2 × (20 + 3) = (2 × 20) + (2 × 3) = 40 + 6 =
46
---
9. 4 × 18
Break 18 into 10 + 8
→ 4 × (10 + 8) = (4 × 10) + (4 × 8) = 40 + 32 =
72
---
10. 7 × 25
Break 25 into 20 + 5
→ 7 × (20 + 5) = (7 × 20) + (7 × 5) = 140 + 35 =
175
---
##
✔ Final Answers:
1.
210
2.
36
3.
208
4.
84
5.
92
6.
150
7.
60
8.
46
9.
72
10.
175
---
## 💡 Why This Works:
The distributive property helps us break down multiplication with larger numbers into smaller, easier parts — especially useful when multiplying by two-digit numbers. It reinforces place value understanding (tens and ones) and builds mental math skills.
Let me know if you’d like to see these written out in the worksheet format or explained visually!
Parent Tip: Review the logic above to help your child master the concept of distributive property worksheet for 6th grade.
