/*! 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 10 Subtract \(17-(-9)\) A. 8 B.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 10

Subtract \(17-(-9)\) A. 8 B. \(-26\) c. \(-8\) D. 26

Short Answer

Expert verified
The correct answer is D. 26.

Step by step solution

01

Recognize the Signs

Understand that subtracting a negative number is equivalent to adding its positive counterpart. Thus, in this exercise, we will subtract \(-(-9)\) from 17, which changes to adding a positive 9.
02

Apply Addition

Now replace the subtraction of a negative number with addition: \(17 - (-9) = 17 + 9\).
03

Perform the Addition

Add the numbers together: \(17 + 9 = 26\).
04

Validate the Solution

Verify if 26 is one of the provided answer choices. The answer choice that corresponds to 26 is option D.

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.

Subtracting Negative Numbers
Subtracting negative numbers can sometimes be a confusing concept. However, it's simpler than it seems if you remember a key rule. When you subtract a negative number, it's the same as adding its positive equivalent. This is because two negatives in mathematics combine to give a positive.

For example, if you look at the expression given in the original exercise, \[17 - (-9)\]the minus sign and the negative sign of the 9 essentially "cancel out," resulting in:
\[17 + 9\]This adjustment makes it much easier to handle, as you are directly performing an addition operation.

  • When you see "subtract negative," think "add positive."
  • This rule helps simplify expressions and avoid confusion.
Addition of Integers
Adding integers is a fundamental operation that you'll use frequently in math. When you're working with positive numbers, as in our transformed example of the original exercise \[17 + 9\],you add the numbers as you would naturally count.

  • Begin by adding the units place and then the tens, if needed.
  • If it helps, envision 9 as being added incrementally to 17. So, 17 becomes 18, 19, 20, all the way up to 26.
Breaking it down this way can reinforce your understanding of how addition works with larger integers. This specific example shows how a basic arithmetic operation can transform a seemingly complex subtraction problem into a straightforward addition calculation.
Verification of Solutions
After solving any mathematical problem, verifying your solution is crucial to ensure accuracy and understanding. In the context of the exercise, after calculating the addition as:
\[17 + 9 = 26\],you should go back and compare your result with the given answer options.

  • Check through each answer choice one by one.
  • Look for 26 in the list of potential answers, which in this case is option D.
  • Verifying ensures that you have correctly followed the mathematical procedures and rules.
This method of verification helps solidify your understanding and prevents preventable mistakes. Consistent practice of verifying answers builds confidence in your math skills.

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

Find the value of \(-(-13)\) \(A .-13\) B. 0 c. \(-(+13)\) D. 13

Add \(12+(-5)+(-8)+(-6)\) A. 31 \(x=3\) B. \(-2\) C. 21 \(D .-7\)

Find \((-8)^{3}\) A. \(-512\) B. \(-24\) c. 24 D. 512

Multiply \((-7)(8)\) A. 56 \(B .-15\) C. \(-56\) D. 15

Multiply \((-12)(-2)(6)(3)(-5)\) A. \(-2,160\) B. 216 C. \(-216\) D. \(2,160\)
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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.