/*! 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 37 Find each sum. $$14+(-9)+6$$... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 37

Find each sum. $$14+(-9)+6$$

Short Answer

Expert verified
The sum is 11.

Step by step solution

01

Add the First Two Numbers

Start by adding the first two numbers: 14 and -9. To add these, you can subtract 9 from 14, because adding a negative number is the same as subtraction. So, 14 + (-9) = 14 - 9 = 5.
02

Add the Result to the Last Number

Now, take the result from the first step, which is 5, and add it to the last number in the series, which is 6. So, 5 + 6 = 11.

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.

Subtraction of Integers
Understanding subtraction when it comes to integers is key to solving many basic arithmetic problems. Integers can be both positive and negative, which adds a layer of complexity to subtraction. When you are asked to subtract one integer from another, you're essentially determining the difference between their values.

Here's how you can think about it:
  • If you subtract a smaller number from a larger one, you'll end up with a positive result.
  • If you subtract a larger number from a smaller one, you'll get a negative result.
  • To subtract a number, you can actually add its opposite. For instance, subtracting -9 is the same as adding 9.
These rules help simplify the process, making it easier to approach problems involving mixed signs.
Negative Numbers
Negative numbers can initially be tricky to grasp because they represent values less than zero. They appear frequently in real-world contexts, like temperatures below freezing or an account balance in the red.

When dealing with negative numbers, it's important to remember:
  • Negative numbers are located on the left side of zero on the number line.
  • Adding a negative number is equivalent to subtracting the absolute value of that number.
  • Subtracting a negative number is the same as adding the positive version of that number.
Negative numbers behave just like positive numbers in many arithmetic operations, but their unique properties need a bit of extra attention to detail.
Basic Arithmetic Operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations form the foundation for most math problems you'll encounter.

Here's a brief overview of how they work with integers:
  • Addition: Combine values. If both numbers share the same sign, add their absolute values, then give the result the same sign. If different, subtract the smaller absolute value from the larger and take the sign of the larger.
  • Subtraction: Add the opposite. Replace the subtraction sign with addition and change the sign of the number following the subtraction.
  • Multiplication and Division: When the signs are the same, the result is positive. When they're different, the result is negative.
Mastering these basic operations enables you to tackle more challenging 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

Evaluate each expression. $$|-15|$$

Evaluate each expression $$|-5|+|4| \quad\( \)

Evaluate each expression if \(a=-2, b=-6,\) and \(c=14\). $$c-a+b$$

Evaluate each expression \text { 48. }|15|-|-1|

At 8: 00 P.M., a temperature of \(78^{\circ} \mathrm{F}\) was recorded. The temperature then changed at an average rate of \(-2^{\circ} \mathrm{F}\) per hour for a 15 -hour period. What was the temperature in degrees Fahrenheit at 7: 00 A.M.?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

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.