For more information, please see full course syllabus of Pre Algebra

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

For more information, please see full course syllabus of Pre Algebra

### Integers and Absolute Value

- Integers are positive whole numbers, their opposites, and zero.
- The opposite of a number is a number that is the same distance from zero on the opposite side of a number line, such as −3 and 3.
- The absolute value of an integer is its distance from zero. It is always positive.

### Integers and Absolute Value

Find | - 65|.

65

Find |43|.

43

Which is greater, - 5 or - 7?

-5

Which is smaller, | - 90| or 75?

- | − 90| = 90

75

Which is greater, |54| or | -10|?

- |54| = 54
- | − 10| = 10
- 54 > 10

54

Simplify |16 - x| for x = 27.

- |16 − 27| =
- | − 11| =

11

7| - 10 + 4| =

- 7| − 6| =
- 7(6) =

42

Simplify 625 ÷ | - 18 - x| + 17 = for x = 7.

- 625 ÷| − 18 − 7| + 17 =
- 625 ÷| − 25| + 17 =
- 625 ÷25 + 17 =
- 25 + 17 =

42

Simplify 12|8 - y| for y = 10.

- 12|8 − 10| =
- 12|8 − 10| =
- 12| − 2| =
- 12(2) =

24

Simplify |a + 2b - 17|50 for a = 5 and b = 4.

- |5 + 2(4) − 17|50 =
- |5 + 8 − 17|50 =
- |13 − 17|50 =
- | − 4|50 =
- 4(50) =

200

*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

### Integers and Absolute Value

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
- What You'll Learn and Why
- Vocabulary
- Vocabulary
- Finding Absolute Value
- More Examples
- Comparing Integers
- Comparing Integer Examples
- Comparing Integer Examples
- Extra Example 1: Simplify Absolute Value
- Extra Example 2: Simplify Absolute Value
- Extra Example 3: Simplify Absolute Value
- Extra Example 4: Simplify Absolute Value

- Intro 0:00
- What You'll Learn and Why 0:06
- Topics Overview
- Vocabulary 0:21
- Opposites
- Integers
- Absolute Value
- Vocabulary 2:21
- Number Line
- Finding Absolute Value 2:35
- Example: Absolute Value
- More Examples 4:05
- Example: Absolute Value of 5
- Example: Absolute Value of Negative 2
- Comparing Integers 4:29
- Boiling Points of Elements
- Comparing Integer Examples 6:00
- Example 1: Comparing Integers
- Example 2: Comparing Integers
- Example 3: Comparing Integers
- Comparing Integer Examples 6:49
- Comparing Temperature
- Extra Example 1: Simplify Absolute Value 8:13
- Extra Example 2: Simplify Absolute Value 9:01
- Extra Example 3: Simplify Absolute Value 9:29
- Extra Example 4: Simplify Absolute Value 10:49

0 answers

Post by Terrance Goins on July 13, 2015

you are an amazing teacher really thank you

0 answers

Post by America Moctezuma on July 3, 2013

I learned something!

0 answers

Post by avery hodge on July 12, 2012

Thanks!

0 answers

Post by David Nelson on May 22, 2012

It is because on a number line, the farther away from zero in that direction, the smaller the number gets.

2 answers

Last reply by: Lindsey Sutfin

Mon Apr 13, 2015 3:37 PM

Post by avery hodge on May 1, 2012

Hi Miss Fung. I still don't understand how Asia is the lowest temperature even though 81 is lower than 90.

Is it because 90 is closer to 0?

Can you explain this too me please?

0 answers

Post by Jacob/Benja Share on December 12, 2011

Good