Absolutely! Let’s solve each problem step by step using the
Distributive Property of Multiplication.
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📌 What is the Distributive Property?
The distributive property says:
>
a × (b + c) = (a × b) + (a × c)
You multiply the number outside the parentheses by
each number inside the parentheses, then add the results.
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Let’s go one by one:
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① 2 × (7 + 4)
→ Apply distributive property:
= (2 × 7) + (2 × 4)
= 14 + 8
=
22
✔ Final Answer:
(2 × 7) + (2 × 4) = 14 + 8 = 22
---
② 6 × (9 + 2)
→ = (6 × 9) + (6 × 2)
= 54 + 12
=
66
✔ Final Answer:
(6 × 9) + (6 × 2) = 54 + 12 = 66
---
③ 9 × (9 + 5)
→ = (9 × 9) + (9 × 5)
= 81 + 45
=
126
✔ Final Answer:
(9 × 9) + (9 × 5) = 81 + 45 = 126
---
④ 4 × (6 + 3)
→ = (4 × 6) + (4 × 3)
= 24 + 12
=
36
✔ Final Answer:
(4 × 6) + (4 × 3) = 24 + 12 = 36
---
⑤ 2 × (6 + 2)
→ = (2 × 6) + (2 × 2)
= 12 + 4
=
16
✔ Final Answer:
(2 × 6) + (2 × 2) = 12 + 4 = 16
---
⑥ 9 × (9 + 4)
→ = (9 × 9) + (9 × 4)
= 81 + 36
=
117
✔ Final Answer:
(9 × 9) + (9 × 4) = 81 + 36 = 117
---
⑦ 6 × (2 + 7)
→ = (6 × 2) + (6 × 7)
= 12 + 42
=
54
✔ Final Answer:
(6 × 2) + (6 × 7) = 12 + 42 = 54
---
⑧ 4 × (5 + 5)
→ = (4 × 5) + (4 × 5)
= 20 + 20
=
40
✔ Final Answer:
(4 × 5) + (4 × 5) = 20 + 20 = 40
*(Note: You could also simplify inside first: 5+5=10 → 4×10=40 — same answer!)*
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⑨ 6 × (4 + 3)
→ = (6 × 4) + (6 × 3)
= 24 + 18
=
42
✔ Final Answer:
(6 × 4) + (6 × 3) = 24 + 18 = 42
---
⑩ 5 × (4 + 7)
→ = (5 × 4) + (5 × 7)
= 20 + 35
=
55
✔ Final Answer:
(5 × 4) + (5 × 7) = 20 + 35 = 55
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##
✔ Final Answers Summary:
1.
(2 × 7) + (2 × 4) = 14 + 8 = 22
2.
(6 × 9) + (6 × 2) = 54 + 12 = 66
3.
(9 × 9) + (9 × 5) = 81 + 45 = 126
4.
(4 × 6) + (4 × 3) = 24 + 12 = 36
5.
(2 × 6) + (2 × 2) = 12 + 4 = 16
6.
(9 × 9) + (9 × 4) = 81 + 36 = 117
7.
(6 × 2) + (6 × 7) = 12 + 42 = 54
8.
(4 × 5) + (4 × 5) = 20 + 20 = 40
9.
(6 × 4) + (6 × 3) = 24 + 18 = 42
10.
(5 × 4) + (5 × 7) = 20 + 35 = 55
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You can write these answers on your worksheet in the blank lines next to each problem. 😊
Let me know if you’d like a printable version or more practice problems!
Parent Tip: Review the logic above to help your child master the concept of distributive property algebra worksheet.
