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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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

Chapter 1.2, Problem 39WE

To determine

To insert: The grouping symbol in the given expression so that value of expression is 5.

Expert Solution & Answer

Answer to Problem 39WE

The expression after inserting required group symbol is 5⋅(8−6)÷2 that has value 5.

Explanation of Solution

Given information:

The given expression is 5⋅8−6÷2 . After inserting group symbol the value of expression is 5.

Formula used:

Each bracket is a group symbol.

Calculations:

The given expression is 5⋅8−6÷2 .

There are three algebraic operations used in the given expression, so we can use a group symbol at least at 3 places.

Case I: (5⋅8)−(6÷2)

(5⋅8)−(6÷2)⇒40−3=37≠5

Case II: 5⋅(8−6)÷2

5⋅(8−6)÷2

⇒5⋅2÷2=102=5 .

That is the required value of the expression.

Thus, to get value of expression 5⋅8−6÷2 equals 5, the correct place of group symbol () is 5⋅(8−6)÷2 .

Conclusion:

The expression after inserting required group symbol is 5⋅(8−6)÷2 that has value 5.

Chapter 1.2, Problem 38WE

Chapter 1.2, Problem 40WE

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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Prob. 5WE Ch. 1.5 - Prob. 6WE Ch. 1.5 - Prob. 7WE Ch. 1.5 - Prob. 8WE Ch. 1.5 - Prob. 9WE Ch. 1.5 - Prob. 10WE Ch. 1.5 - Prob. 11WE Ch. 1.5 - Prob. 12WE Ch. 1.5 - Prob. 13WE Ch. 1.5 - Prob. 14WE Ch. 1.5 - Prob. 15WE Ch. 1.5 - Prob. 16WE Ch. 1.5 - Prob. 17WE Ch. 1.5 - Prob. 18WE Ch. 1.5 - Prob. 19WE Ch. 1.5 - Prob. 20WE Ch. 1.5 - Prob. 21WE Ch. 1.5 - Prob. 22WE Ch. 1.5 - Prob. 23WE Ch. 1.5 - Prob. 24WE Ch. 1.5 - Prob. 25WE Ch. 1.5 - Prob. 26WE Ch. 1.5 - Prob. 27WE Ch. 1.5 - Prob. 28WE Ch. 1.5 - Prob. 29WE Ch. 1.5 - Prob. 30WE Ch. 1.5 - Prob. 31WE Ch. 1.5 - Prob. 32WE Ch. 1.5 - Prob. 33WE Ch. 1.5 - Prob. 34WE Ch. 1.5 - Prob. 35WE Ch. 1.5 - Prob. 36WE Ch. 1.5 - Prob. 1MRE Ch. 1.5 - Prob. 2MRE Ch. 1.5 - Prob. 3MRE Ch. 1.5 - Prob. 4MRE Ch. 1.5 - Prob. 5MRE Ch. 1.5 - Prob. 6MRE Ch. 1.5 - Prob. 7MRE Ch. 1.5 - Prob. 8MRE Ch. 1.5 - Prob. 9MRE Ch. 1.5 - Prob. 10MRE Ch. 1.5 - Prob. 11MRE Ch. 1.5 - Prob. 12MRE Ch. 1.6 - Prob. 1P Ch. 1.6 - Prob. 2P Ch. 1.6 - Prob. 3P Ch. 1.6 - Prob. 4P Ch. 1.6 - Prob. 5P Ch. 1.6 - 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