Getting Along
What's the secret to getting along?
OBJECTIVE: To learn how to multiply and divide integers
[br]In previous lessons, you learned how to [color=#0000ff]ADD[/color] and [color=#0000ff]SUBTRACT[/color] integers.[br][br][color=#0000ff]Summing It Up:[/color] https://www.geogebra.org/m/ryw5cfbm[br][color=#0000ff]Switching Directions:[/color] https://www.geogebra.org/m/dkuqcztg[br][br]In this lesson, you're going to learn how to [color=#0000ff]MULTIPLY[/color] and [color=#0000ff]DIVIDE[/color] integers.[br][br]The rule on signs for multiplication and division of integers is the [color=#0000ff]SAME[/color].[br][br]There are two cases:[br][br][color=#0000ff]Case 1[/color]—two [color=#0000ff]INTEGERS[/color] having the [color=#0000ff]SAME[/color] signs[br][br] Step 1. [color=#0000ff]MULTIPLY [/color]or [color=#0000ff]DIVIDE[/color] their [color=#0000ff]ABSOLUTE[/color] values.[br][br] Step 2. Apply the [color=#0000ff]POSITIVE[/color] sign to the [color=#0000ff]PRODUCT[/color] or [color=#0000ff]QUOTIENT[/color].[br][br] Examples: 6 • 7 = 42 42 ÷ 7 = 6[br][br] (-6) • (-7) = 42 (-42) ÷ (-7) = 6[br][br][color=#0000ff]Case 2[/color]—two [color=#0000ff]INTEGERS[/color] having [color=#0000ff]DIFFERENT[/color] signs[br][br] Step 1. [color=#0000ff]MULTIPLY [/color]or [color=#0000ff]DIVIDE[/color] their [color=#0000ff]ABSOLUTE[/color] values.[br][br] Step 2. Apply the [color=#0000ff]NEGATIVE[/color] sign to the [color=#0000ff]PRODUCT[/color] or [color=#0000ff]QUOTIENT[/color].[br][br] Examples: 6 • (-7) = -42 -42 ÷ 7 = -6[br][br] (-6) • 7 = -42 42 ÷ (-7) = -6 [br][br][color=#0000ff]NOTES: [/color][br][br]1. [color=#0000ff]ZERO [/color]multiplied by any integer is [color=#0000ff]ZERO[/color].[br][br]2. [color=#0000ff]ZERO[/color] divided by a nonzero integer is[color=#0000ff] ZERO; [/color]any integer divided by zero is[color=#0000ff] UNDEFINED[/color].[br][br]3. [color=#0000ff]ONE [/color]multiplied by any integer is [color=#0000ff]THE NUMBER ITSELF[/color] since [color=#0000ff]ONE[/color] is the [color=#0000ff]IDENTITY[/color] element for [color=#0000ff]MULTIPLICATION; [/color]any integer divided by 1 is [color=#0000ff]THE NUMBER ITSELF.[/color][br][br]4. The plus sign ( + ) is often omitted in the product or quotient.
TRY THESE FOR MULTIPLICATION!
TRY THESE FOR DIVISION!
In this lesson, you learned how to multiply and divide integers.
In future lessons, you'll learn about the properties of real numbers. Did you ENJOY today's lesson?