**Transcription:**12. Use the distributive property to make it easy for you to calculate 30% of 240 mentally. Then use the **Explanation:**This text is a prompt asking students to apply the distributive property to simplify the mental calculation of 30% of 240. The distributive property allows you to break down and simplify expressions, making calculations more manageable. In this case, one might split 30% into 10% and 20%, calculate each part separately, and then sum the results.This approach helps in developing mental arithmetic skills by understanding how to decompose and recombine numbers efficiently. Transcription for Educational Website:---Utilize the associative property of multiplication to solve the given problem. In each case, articulate your strategy in words, and then formulate equations that reflect your strategy. Present your equations in the following format:\[ 30\% \times 240 = \text{some expression} \]\[ = \text{some expression} \]\[ \vdots \]

Distributive property: As, 240 = 100 + 100 + 40 30 % of 240 = 30% ×(100+100+40)=30% ×100+30%×100+30%×40=30+30+12=72 Associative property: As, 240=24×10 30% of 240=30% ×(24×10) Using (a×b)×c=a×(b×c) 30%×(24×10)=(30%×24)×10=7.2×10=72Since from both Associative and distributed properties the answer is 72Thus proved

Math

Algebra

associative property of multiplication to solve the same problem. In each case, explain your strategy in words, and then write equations that correspond to your strategy. Write your equations in the follow- ing form: 30% × 240 = some expression bos 16 = some expression

associative property of multiplication to solve the same problem. In each case, explain your strategy in words, and then write equations that correspond to your strategy. Write your equations in the follow- ing form: 30% × 240 = some expression bos 16 = some expression

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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