Explanation Given Information: The provided expression is ( − 4 ) ( 5 ) + ( − 6 ) ( − 4 ) − 7 ( − 4 ) ÷ 2 ( 7 ) . Formula used: Steps for order of operations are as follows: Step 1. Initially operate operations within parenthesis or group symbols. Step 2: Evaluate powers of number. Step 3: Next, perform multiplication and division from left to right. Step 4: Finally perform addition and subtraction from left to right. Calculation: Consider the following expression: ( − 4 ) ( 5 ) + ( − 6 ) ( − 4 ) − 7 ( − 4 ) ÷ 2 ( 7 ) Initially solve the parenthesis from left to right. The multiplication or division of two positive or negative number is positive and multiplication or division of two number with different sign is negative. Solve the expression by multiplying or dividing then add or subtract the numbers. According to order of operation multiplication and division are performed first, so multiply and divide one by one from left to right: ( − 4 ) ( 5 ) + ( − 6 ) ( − 4 ) − 7 ( − 4 ) ÷ 2 ( 7 ) = − 20 + ( − 6 ) ( − 4 ) − 7 ( − 4 ) ÷ 2 ( 7 ) = − 20 + 24 − 7 ( − 4 ) ÷ 2 ( 7 ) = − 20 + 24 + 28 ÷ 2 ( 7 )

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

See similar textbooks

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.

Videos

Question

Chapter 4, Problem 4CR

To determine

To calculate: The simplified form of the expression (−4)(5)+(−6)(−4)−7(−4)÷2(7).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 3CR

Chapter 4, Problem 5CR

Students have asked these similar questions

A random sample of 1,117 U.S. college students finds that 729 go home at least once each term. Find a 98 percent confidence interval for the proportion of all U.S. college students who go home at least once each term.

Suppose that you make two confidence intervals with the same data set — one with a 95 percent confidence level and the other with a 99.7 percent confidence level. Which interval is wider?Is a wide confidence interval a good thing?

Is it true that a 95 percent confidence interval means you’re 95 percent confident that the sample statistic is in the interval?

Chapter 4 Solutions

Elementary Technical Mathematics

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The simplified form of the expression ( − 4 ) ( 5 ) + ( − 6 ) ( − 4 ) − 7 ( − 4 ) ÷ 2 ( 7 ) .

Solution Summary: The author explains how to calculate the simplified form of the expression (-4).

Concept explainers

Videos

To calculate: The simplified form of the expression (−4)(5)+(−6)(−4)−7(−4)÷2(7).

Want to see the full answer?

Chapter 4 Solutions