/*! 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 213 Simplify each expression. $$ ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 213

Simplify each expression. $$ 34+(-19) $$

Short Answer

Expert verified
15

Step by step solution

01

Identify the operation

Notice that the expression involves addition and a negative number. Specifically, it is 34 plus (-19).
02

Rewrite the expression

Rewrite the expression to make it clearer: 34 + (-19) can be rewritten as 34 - 19.
03

Perform the subtraction

Subtract 19 from 34. This means calculating 34 - 19, which equals 15.
04

Simplified result

The simplified result of the expression is 15.

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.

addition of negative numbers
When working with negative numbers, it can seem tricky at first. But understanding the basics makes things much easier. Let's take an example where we have to add a negative number to a positive one. In the exercise, we have: 34 + (-19).

Here are the steps to handle it:
  • First, recognize that adding a negative number is the same as subtracting. So, 34 + (-19) is the same as 34 - 19.
  • This is because the negative sign indicates we are taking away that amount instead of adding to it.
By grasping this concept, you can turn any tricky addition of negative numbers into a simpler subtraction problem!
subtraction
Subtraction is a fundamental arithmetic operation. It involves taking one number away from another. In our example, after rewriting 34 + (-19) as 34 - 19, we perform a straightforward subtraction:
  • Start with 34.
  • Then, subtract 19.
The operation looks like this: 34 - 19.

Here's how to perform it:
  • First, subtract 9 from 4, you can't do this directly, so you need to borrow 1 from the tens place in 34. This makes it 14 - 9 = 5.
  • Then, subtract the remaining 1 from 2, after borrowing, giving you 2 - 1 = 1.
Thus, 34 - 19 equals 15. Always remember to align your numbers correctly, especially in long problems!
arithmetic operations
Arithmetic operations are the building blocks of mathematics. The four basic operations are addition, subtraction, multiplication, and division.

In the given exercise, we primarily focused on addition and subtraction.
  • Addition combines two or more numbers into a larger number. For example, 7 + 3 = 10.
  • Subtraction finds the difference between two numbers. For example, 10 - 3 = 7.
Correctly identifying and performing these arithmetic operations simplify complex expressions. For example, when you see 34 + (-19), you know to rewrite it as 34 - 19 based on the properties of adding negative numbers. This reduces potential mistakes and helps streamline calculations.

Mastering these basics empowers you to tackle more complex mathematical problems with confidence!

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

Convert the units. One serving of gourmet ice cream has 25 grams of fat. Convert this to milligrams.

Simplify using the distributive property. $$ -3(x-6) $$

Simplify using the distributive property. $$ -4(q-7) $$

Solve. Concetta had a 2-kilogram bag of flour. She used 180 grams of flour to make biscotti. How many kilograms of flour are left in the bag?

Some people think that \(65^{\circ}\) to \(75^{\circ}\) Fahrenheit is the ideal temperature range. (a) What is your ideal temperature range? Why do you think so? (b) Convert your ideal temperatures from Fahrenheit to Celsius.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

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.