Question
2. Use the distributive property of multiplic Example: \( 4(5+9)=4 \times 5+4 \times 9=(4 \times \) a. \( 3(4+2)=3 \times 4+1+99= \) b. \( 10(2+3)=\square \) c. \( 5(3+1)=\square \)
Ask by Chen Hilton. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
a. \( 3(4 + 2) = 18 \)
b. \( 10(2 + 3) = 50 \)
c. \( 5(3 + 1) = 20 \)
Solution
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The Deep Dive
When you apply the distributive property, it’s like spreading the magic of multiplication over addition! So for part a you would get \( 3(4 + 2) = 3 \times 4 + 3 \times 2 = 12 + 6 = 18 \). Remember to multiply by 3 for both terms inside the parentheses! Now for part b, \( 10(2 + 3) \) goes like this: \( 10 \times 2 + 10 \times 3 = 20 + 30 = 50 \). And for part c: \( 5(3 + 1) = 5 \times 3 + 5 \times 1 = 15 + 5 = 20 \). Voilà, you’ve nailed the distributive property!