/*! 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 74 Subtract. $$ -9-8 $$... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 74

Subtract. $$ -9-8 $$

Short Answer

Expert verified
-17

Step by step solution

01

Identify the operation

The exercise asks for the subtraction of two numbers: \(-9 - 8\).
02

Understand subtracting negative and positive numbers

Subtracting a positive number from a negative number involves adding their absolute values (ignoring the signs at first) and then attaching the negative sign to the result.
03

Perform the subtraction

Calculate the absolute values and add: \(9 + 8 = 17\). Attach the negative sign to the result: \(-17\).

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.

Understanding Negative Numbers
Negative numbers are values less than zero. They are represented with a minus sign (-) in front. When you see numbers like -9, -2, or -15, you're dealing with negative numbers. These are often used in contexts like temperatures below freezing or debt in finances.

Negative numbers follow specific rules that are crucial for operations like addition and subtraction. For example, when you add a negative number to another number, it's the same as subtracting the absolute value of the negative number from the other number. Understanding these properties helps in solving complex arithmetic problems, especially those involving both positive and negative numbers.
Absolute Values
The absolute value of a number is its distance from zero on the number line, regardless of direction. It's always a positive number or zero. For instance, the absolute value of -9 is 9, and the absolute value of 8 is 8.

To denote the absolute value, we use vertical bars: \(|-9| = 9\). The concept of absolute value is essential in simplifying expressions and solving equations, including those with negative numbers. When performing operations like subtraction, converting numbers to their absolute values can make the process clearer and simpler.
Subtraction Rules with Negative Numbers
When subtracting numbers, especially negatives, specific rules apply which make calculations easier. Consider the exercise \(-9 - 8\). Here鈥檚 how you can approach it:

  • First, identify the numbers and their signs.
  • Recognize that subtracting a positive number from a negative number is the same as adding their absolute values and then adding a negative sign.

So, if we convert \(-9\) and \(-8\) to their absolute values, we get 9 and 8, respectively. By adding these, we get 17. Since we're dealing with negative numbers, the final step is to add back the negative sign, giving us \(-17\).

In summary, \(-9 - 8 = -17\). Understanding these subtraction rules makes dealing with negative numbers less intimidating and more manageable.

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

Calculate using the rules for order of operations. If an expression is undefined, state this. $$ -(-3)^{2} $$

Find an equivalent expression by factoring. $$ a b+b $$

Write an equivalent expression using the distributive law. $$ 6(s-t) $$

Translate to an algebraic expression. Three times the sum of the cubes of two numbers

Write an equivalent expression using an associative law. $$ (3 y+4)+10 $$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

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.