Let's solve each problem using the
Distributive Property.
🔷 What is the Distributive Property?
The
distributive property states that:
> $ a(b + c) = a \cdot b + a \cdot c $
This means you
multiply the number outside the parentheses by
each term inside the parentheses, then
add the results.
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Let’s solve each one step by step:
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1. $ 5(2 + 3) = 5 \cdot 2 + 5 \cdot 3 = 10 + 15 = \boxed{25} $
2. $ 3(4 + 2) = 3 \cdot 4 + 3 \cdot 2 = 12 + 6 = \boxed{18} $
3. $ 4(4 + 3) = 4 \cdot 4 + 4 \cdot 3 = 16 + 12 = \boxed{28} $
4. $ 2(3 + 2) = 2 \cdot 3 + 2 \cdot 2 = 6 + 4 = \boxed{10} $
5. $ 5(8 + 6) = 5 \cdot 8 + 5 \cdot 6 = 40 + 30 = \boxed{70} $
6. $ 3(5 + 2) = 3 \cdot 5 + 3 \cdot 2 = 15 + 6 = \boxed{21} $
7. $ 7(4 + 2) = 7 \cdot 4 + 7 \cdot 2 = 28 + 14 = \boxed{42} $
8. $ 6(4 + 8) = 6 \cdot 4 + 6 \cdot 8 = 24 + 48 = \boxed{72} $
9. $ 3(10 + 1) = 3 \cdot 10 + 3 \cdot 1 = 30 + 3 = \boxed{33} $
10. $ 4(6 + 5) = 4 \cdot 6 + 4 \cdot 5 = 24 + 20 = \boxed{44} $
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✔ Final Answers:
1. 25
2. 18
3. 28
4. 10
5. 70
6. 21
7. 42
8. 72
9. 33
10. 44
Let me know if you'd like to see these solved using the order of operations (PEMDAS) as well!
Parent Tip: Review the logic above to help your child master the concept of distributive properties worksheet.