Sign In | Subscribe
Start learning today, and be successful in your academic & professional career. Start Today!
Loading video...
This is a quick preview of the lesson. For full access, please Log In or Sign up.
For more information, please see full course syllabus of Pre Algebra
  • Discussion

  • Study Guides

  • Practice Questions

  • Download Lecture Slides

  • Table of Contents

  • Related Books

Bookmark and Share
Lecture Comments (5)

0 answers

Post by Asia Hassan on October 16, 2013

PLZ help me out here, in example 3 (fish) your answer is giving the difference but in example 4 (football) you are adding them to gather though the questions were the same. in each questions they are asking change. explain this a little bit, Thanks.

0 answers

Post by Professor Fung on February 16, 2013

It is excellent that you understand distance is an absolute value. However, this lesson is not about length--the space between two points. This lesson is about change in location. When adding and subtracting integers, you are moving along a number line. One of the examples is about football. It asks about the change in yards, not the distance traveled.

0 answers

Post by Aaron Dhaemers on February 14, 2013

Extra Example III: "what is the fish's change in depth?" Is this not a matter of DISTANCE (thus, Absolute value)? So the final answer should written as a positive integer, eh? The fish cannot travel a negative distance.

1 answer

Last reply by: Professor Fung
Thu Jan 24, 2013 12:47 AM

Post by steven schwartzle on January 20, 2013

This is such a useful tool!! Thank you

Subtracting Integers

  • Subtract integers with the same rules as adding integers.
  • Use a number line or absolute value.
    1. Simplify any double signs.
    2. If integers have opposite values, subtract their absolute values
    3. The answer, the difference uses the sign of the larger absolute value

Subtracting Integers

15 - 27 =
- 12
15 - ( - 27) =
  • 15 + 27 =
42
11 - ( - 7) - ( - 2) =
  • 11 + 7 + 2 =
  • 18 + 2 =
20
- 5 - ( - 5) - ( - 14) =
  • − 5 + 5 + 14 =
  • 0 + 14 =
14
6 + ( - 10) - ( - 3) - ( + 9) =
  • 6 − 10 + 3 − 9 =
  • − 4 + 3 − 9 =
  • − 1 − 9 =
- 10
| - 9 + ( - 2)| - 13 - ( - 2) =
  • | − 9 − 2| − 13 − ( − 2) =
  • | − 11| − 13 − ( − 2) =
  • 11 − 13 − ( − 2) =
  • 11 − 13 + 2 =
  • − 2 + 2 =
0
- 9 - ( - 3) + 4| - 7 - ( - 2)| + 10 =
  • − 9 − ( − 3) + 4| − 7 + 2| + 10 =
  • − 9 − ( − 3) + 4| − 5| + 10 =
  • − 9 − ( − 3) + 4(5) + 10 =
  • − 9 − ( − 3) + 20 + 10 =
  • − 9 + 3 + 20 + 10 =
  • − 6 + 20 + 10 =
  • 14 + 10 =
24
The temperature was 15 degrees. Now, the temperature is 24 degrees lower. What is the temperature now?
  • 15 degrees - 24 degrees =
- 9 degrees
A shark started at 54 inches below sea level and then swam to 97 inches below sea level. What was the shark's change in depth?
  • 54 inches - 97 inches =
- 43 inches
A car is backing out of a driveway. The car moves backwards for 6 feet and stops. Then, the car moves back another 7 feet. How far did the car move back?
  • - 6 feet - 7 feet =
- 13 feet

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Subtracting Integers

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • What You'll Learn and Why 0:06
    • Topics Overview
  • Vocabulary 0:21
    • Integers
    • Opposites
  • Rules for Multiplying Signs 1:18
  • Using a Number Line 2:00
    • Example: 2 - 5
  • Other Examples 2:52
    • Using Number Line: 10 - (-13)
    • Rewriting Absolute Value
  • Extra Example 1: Subtracting Integers 5:48
  • Extra Example 2: Temperature 7:26
  • Extra Example 3: Depth 8:51
  • Extra Example 4: Change in Yards 11:09