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Chapter 1: Problem 215

Simplify each expression. $$ 135+(-110)+83 $$

Short Answer

Expert verified
The simplified expression is 108.

Step by step solution

01

Identify the Numbers

The numbers to be simplified in the expression are 135, -110, and 83.
02

Combine the Positive Numbers

Add the positive numbers first: 135 + 83 = 218
03

Add the Negative Number

Now, add the negative number to the result from Step 2:218 + (-110)This is the same as subtracting 110 from 218.
04

Perform the Subtraction

Subtract 110 from 218:218 - 110 = 108

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Key Concepts

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

adding positive numbers
Adding positive numbers is one of the simplest and most straightforward operations in arithmetic. When you add two positive numbers, you're essentially determining the total or sum of both quantities.
For example, in the given exercise:
We have the numbers 135 and 83. To add these numbers, you can just combine them:
135 + 83 = 218
It's as simple as combining the lengths of two lines to get a longer line. If you keep practicing this, it will become second nature.
adding negative numbers
Adding negative numbers might seem a bit tricky at first, but it becomes easier with practice. A key concept here is understanding that adding a negative number is the same as subtracting its positive counterpart.
In our example, we add the negative number -110 to 218:
218 + (-110)
This is the same as:
218 - 110
So, rather than 'adding' the negative number, think of it as subtracting the positive equivalent. This helps simplify the process and makes it easier to handle problems involving both positive and negative numbers.
basic arithmetic operations
Basic arithmetic operations are the foundation of all math computations. These include addition, subtraction, multiplication, and division. By mastering these, you can easily solve more complex problems.
In our exercise, we primarily deal with addition and subtraction:
  • Addition: Combining numbers to get a sum, as in 135 + 83.
  • Subtraction: Taking one number away from another, as in 218 - 110.
Understanding these basic operations allows you to approach more complicated expressions with confidence.
order of operations
The order of operations is crucial when dealing with more complex algebraic expressions. It dictates the sequence in which you should perform mathematical operations.
A common acronym to remember the order is PEMDAS:
  • P: Parentheses first
  • E: Exponents (i.e., powers and square roots, etc.)
  • MD: Multiplication and Division (left to right)
  • AS: Addition and Subtraction (left to right)
In our specific example, the operations are straightforward: we add and subtract in sequence as they appear. However, if more operations were involved, understanding and applying PEMDAS would be essential to arrive at the correct result.

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Most popular questions from this chapter

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