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For more information, please see full course syllabus of Pre Algebra
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Lecture Comments (7)

0 answers

Post by Ashley Haden on March 18, 2015

miles per second?

1 answer

Last reply by: Terrance Goins
Mon Jul 13, 2015 1:32 AM

Post by Abel G Gleekia on April 25, 2014

If the temperature at 8:00 A.M. was 22F, and at 4:00 P.M. the same day, it was -2F, what was the average temperature decrease per hour during this period?

3 answers

Last reply by: Professor Fung
Tue Oct 30, 2012 2:46 AM

Post by Michael Trow on September 20, 2012

should it be -81 instead of 81?

Multiplying Integers

  • Let‘s review the rules for multiplying integers.
  • The product of two integers with the same sign is positive.
  • Positive times positive is positive
  • Negative times Negative is positive.
  • The product of two integers with different sings is negative.
  • Positive time negative is negative.
  • Negative times positive is negative.

Multiplying Integers

- 7 × ( - 6) =
42
5 × ( - 3) =
- 15
- 2| - 5| =
  • − 2(5) =
- 10
3 × ( - 6) × ( - 2) =
  • − 18 ×( − 2) =
36
( - 7) × 5 × ( - 2) × ( - 1) =
  • − 35 ×( − 2) ×( − 1) =
  • 70 ×( − 1) =
- 70
2 × ( - 2) × 3 × ( - 2) + ( - 4) =
  • − 4 ×3 ×( − 2) + ( − 4) =
  • − 12 ×( − 2) + ( − 4) =
  • 24 + ( − 4) =
  • 24 − 4 =
20
( - 2) · ( - 1) · ( - 1) + ( - 1) - ( - 1) =
  • 2 ·( − 1) + ( − 1) − ( − 1) =
  • − 2 + ( − 1) − ( − 1) =
  • − 2 − 1 + 1 =
  • − 3 + 1 =
- 2
A fish swims 3 feet deeper every minute for 15 minutes. Write an integer to express how far down the fish swam
  • - 3 feet × 15 minutes =
- 45 minutes
Determine the sign of the product.
  • ( − 5) ·( − 2) ·4 ·( − 10) ·( + 32) =
  • ( − ·− ) ·( + ·− ) ·( + ) =
  • + ·− ·+ =
  • − ·+ =
- , negative
Determine the sign of the product of:
3 negative numbers
  • − ·− ·− =
  • ( − ·− )·− =
  • + ·− =
- , negative
Determine the sign of the product of:
5 negative numbers
  • − ·− ·− ·− ·− =
  • ( − ·− ) ·( − ·− ) ·− =
  • + ·+ ·− =
  • + ·− =
- , negative
Determine the sign of the product of:
7 negative numbers
  • − ·− ·− ·− ·− ·− ·− =
  • ( − ·− ) ·( − ·− ) ·( − ·− ) ·− =
  • ( + ·+ ) ·( + ·− ) =
  • + ·− =
- , negative
Determine the sign of the product of:
2 negative numbers
  • − ·− =
+ , positive
Determine the sign of the product of:
4 negative numbers
  • − ·− ·− ·− =
  • ( − ·− ) ·( − ·− ) =
  • + ·+ =
, positive
Determine the sign of the product of:
6 negative numbers
  • − ·− ·− ·− ·− ·− =
  • ( − ·− ) ·( − ·− ) ·( − ·− ) =
  • + ·+ ·+ =
  • + ·+ =
+ , positive

*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

Multiplying 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 0:05
    • Topics Overview
  • Vocabulary 0:43
    • Integers
    • Opposites
  • Repeated Addition 1:41
    • Example 1: Using a Number Line
  • More Examples 3:28
    • Example 2: Using a Number Line
  • Using a Number Line 4:45
    • Example 3: Using a Number Line
    • Example 4: Using a Number Line
  • Rules for Multiplying Same Sign Integers 7:20
    • Arithmetic
    • Algebra
  • Rules for Multiplying Different Signs Integers 8:17
    • Arithmetic
    • Algebra
  • Multiplying Integer Examples 9:20
    • Examples of Multiplying Integers
  • Using Multiplication of Integers to Solve a Problem 10:07
    • Elevation
    • Temperature
  • Determine the Sign of the Product 12:19
    • Example 5: Determine the Sign
    • Example 6: Determine the Sign
  • Extra Example 1: Product of Three Negative Numbers 13:07
  • Extra Example 2: Product of Four Negative Numbers 13:45
  • Extra Example 3: Product of Five Negative Numbers 13:58
  • Extra Example 4: Product of 103 Negative Numbers 14:13