Question
9. Write down true or false for the calculations: \( \begin{array}{ll}\text { a) } 3 \times(4+9)=(3 \times 4)+(3 \times 9) & \text { b) } 5 \times(9-3)=(5 \times 9)+(5 \times 3) \\ \text { c) } 42+(8+53)=(42+8)+53 & \text { d) } 25(17+5)=(25 \times 17)+(25 \times 5)\end{array} \)
Ask by Ayala Weston. in South Africa
Feb 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a) True
b) False
c) True
d) True
Solution
a) True
b) False
c) True
d) True
Explanation:
• (a) The distributive property states that a*(b + c) = a*b + a*c, so 3*(4+9) equals (3*4)+(3*9).
• (b) For subtraction, 5*(9–3) equals (5*9) – (5*3), not (5*9)+(5*3).
• (c) Addition is associative, meaning 42+(8+53) equals (42+8)+53.
• (d) Again by the distributive property, 25*(17+5) equals (25*17)+(25*5).
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Simplify this solution The Deep Dive
a) True b) False c) True d) True In the first calculation, you're using the distributive property correctly, so it’s true! The second one is incorrect because the right side should be subtraction, not addition. The third one showcases the associative property of addition, making it true too. Lastly, the fourth one abides by the distributive property again, and thus it's also true! Keep those math laws straight!
