/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 83 Perform each indicated operation... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 83

Perform each indicated operation. $$ 2+(-4-8) $$

Short Answer

Expert verified
-10

Step by step solution

01

Simplify inside the parentheses

First, simplify the expression inside the parentheses. Combine -4 and -8: (-4) + (-8) = -12
02

Add the simplified result to the remaining number

Now add the result from step 1 to 2: 2 + (-12) = 2 - 12 = -10

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Combining Like Terms
When solving algebraic expressions, one key concept is combining like terms. Like terms are terms that contain the same variable raised to the same power. In arithmetic, this means combining numbers directly. For example, in the provided exercise, we combine -4 and -8 inside the parentheses. This results in -12 because we are simply adding two negative numbers together.
  • Tip: Always look for similar terms in your expression and combine them to simplify the overall equation.

In more complex algebraic expressions, this could involve combining terms with the same variable, like combining 2x and 3x to get 5x. But the principle remains the same: group and combine similar items together.
Simplifying Expressions
Simplifying expressions is all about making the equation easier to read and solve. The first step is usually to simplify inside any parentheses. For the given exercise, we started by combining -4 and -8. After simplifying inside the parentheses, 2 + (-12) was left. Simplifying further, we shift focus to the addition. Adding 2 and -12 gives -10. Simplifying expressions helps us understand the problem better and makes solving it more straightforward.
  • Always handle the operations within parentheses first.
  • Next, follow the order of operations: parentheses, exponents, multiplication and division (left to right), and addition and subtraction (left to right).

When expressions become more complicated, this step-by-step simplification can be a powerful tool.
Negative Numbers
Negative numbers can be tricky, but they follow the same basic rules as positive numbers. In the exercise, dealing with -4 and -8 inside the parentheses involves simply adding their absolute values and keeping the negative sign, as both numbers are negative. Simplification moves forward with 2 + (-12). Here, adding a negative number is similar to subtraction: 2 - 12 = -10.
  • Remember: Adding two negative numbers will always result in a more negative number.
  • Subtracting a larger positive number from a smaller positive number will result in a negative number.

Mastering negative numbers helps in algebra and across all of mathematics. It ensures a solid foundation for handling more complex calculations and equations.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Write a numerical expression for each phrase, and simplify the expression. 12 less than the difference of 8 and -5

Use the distributive property to rewrite each expression. $$ -4(3 x-2) $$

Solve each problem. The lowest temperature ever recorded in Illinois was \(-36^{\circ} \mathrm{F}\) on January \(5,1999 .\) The lowest temperature ever recorded in Utah was on February \(1,1985,\) and was \(33^{\circ} \mathrm{F}\) lower than Illinois's record low. What is the record low temperature for Utah? (Data from National Climatic Data Center.)

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \((-5+x)(-3+y)(3-a)\)

Write a numerical expression for each phrase, and simplify the expression. The sum of 9 and \(-4,\) decreased by 7
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.