Explanation Definition: Distributive Law: For all real a , b , c a b + c = a b + a c , and a + b c = a c + b c Calculation: The student wrote the expression as a b c = a b a c . That is, the student is applying the distributive property of multiplication over addition to multiplication. The student is incorrect in his extension of the distributive property. For example, consider set of three numbers 3, 4 and 5. That is a = 3 , b = 4 and c = 5 . a b c = a b a c Applying the known values in the above equation, a b c = 3 4 × 5 As per the BODAS rule, we have to complete the bracket and then go for multiplication, 3

Problem Solving Approach to Mathematics for Elementary School Teachers, A, Plus MyLab Math -- Access Card Package (12th Edition)

12th Edition

ISBN: 9780321990594

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Chapter 8.2, Problem 7MC

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Write a response for the expression abc=abac written by the student.

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Chapter 8.2, Problem 6MC

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Chapter 8 Solutions

Problem Solving Approach to Mathematics for Elementary School Teachers, A, Plus MyLab Math -- Access Card Package (12th Edition)

Ch. 8.1 - Use the fact that each prime in the prime...Ch. 8.1 - Find the value of 3 on a calculator. Explain why...Ch. 8.1 - Is it true that a+b=a+b for all a and b? If not,...Ch. 8.1 - The number 227 can be written as an infinite...Ch. 8.1 - a. Use the fact that if a prime p appears in the...Ch. 8.1 - Without using a calculator, order the following....Ch. 8.1 - a. To prove that 2335 a student wrote the...Ch. 8.1 - The sequence 1,1.01,1.001,1.0001,... is an...Ch. 8.1 - Let each number of a group choose a number between...Ch. 8.1 - Prob. 11MC

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Write a response for the expression a b c = a b a c written by the student.

Solution Summary: The author explains that the student is applying the distributive property of multiplication over addition and is incorrect in his extension of the property.

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Write a response for the expression abc=abac written by the student.

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Write a response for the expression a b c = a b a c written by the student.

Solution Summary: The author explains that the student is applying the distributive property of multiplication over addition and is incorrect in his extension of the property.

Concept explainers

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To Explain: Write a response for the expression abc=abac written by the student.

Want to see the full answer?

Chapter 8 Solutions

To Explain:

Write a response for the expression abc=abac written by the student.