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Q8.

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Pre-algebra
Found in: Page 64
Pre-algebra

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Simplify the expression.

2r(-5)

(2r)(-5)=-10r

See the step by step solution

Step by Step Solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Associative Property of Multiplication of Real Numbers: 

Suppose a, b, and c is three real numbers.

Associative property of Multiplication

Property: (a·b)·c=a·(b·c)

If you are multiplying three real numbers, the product is always the same regardless of their grouping.

Example: (6·4)·3=6·(4·3)=72

Step-3:  Evaluate the expression 6(–3k).

Associative property of Multiplication states that if you are multiplying three real numbers, the product is always the same regardless of their grouping.

Property:(a·b)·c=a·(b·c)

So, we can multiply the numbers in any order and here a is a variable

(2r)(5)(2·5)·rAssociativePropertyofMultiplication10r

(2r)(-5)=-10r

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