Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Estimation

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Question

Chapter 1.2, Problem 44WE

To determine

To insert: The grouping symbol in the given expression so that value of expression is 16.

Expert Solution & Answer

Answer to Problem 44WE

The expression after inserting the required group symbol is 5⋅2+8−(4÷2) that gives value 16.

Explanation of Solution

Given information:

The given expression is 5⋅2+8−4÷2 , and inserting group symbol the value of expression is 16.

Formula used:

Each bracket is a group symbol.

Calculations:

The given expression is 5⋅2+8−4÷2 .

There are four algebraic operations used in the given expression, so we can use a group symbol at least at 4 places.

Case I: 5⋅(2+8)−(4÷2)

⇒5⋅10−2=48≠16

Case II: 5⋅2+(8−4)÷2

⇒10+4÷2=12≠16

Case III: 5⋅2+8−(4÷2)

10+8−2=16

That is the required value of the expression.

Thus, to get value of expression 5⋅2+8−4÷2 equals 16, the correct place of group symbol () is 5⋅2+8−(4÷2) .

Conclusion:

The expression after inserting the required group symbol is 5⋅2+8−(4÷2) that gives value 16.

Chapter 1.2, Problem 43WE

Chapter 1.2, Problem 45WE

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

Ch. 1.1 - Prob. 1OE Ch. 1.1 - Prob. 2OE Ch. 1.1 - Prob. 3OE Ch. 1.1 - Prob. 4OE Ch. 1.1 - Prob. 5OE Ch. 1.1 - Prob. 6OE Ch. 1.1 - Prob. 7OE Ch. 1.1 - Prob. 8OE Ch. 1.1 - Prob. 9OE Ch. 1.1 - Prob. 10OE

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