Getting Along
What's the secret to getting along?
OBJECTIVE: To learn how to multiply and divide integers
In previous lessons, you learned how to ADD and SUBTRACT integers.
Summing It Up: https://www.geogebra.org/m/ryw5cfbm
Switching Directions: https://www.geogebra.org/m/dkuqcztg
In this lesson, you're going to learn how to MULTIPLY and DIVIDE integers.
The rule on signs for multiplication and division of integers is the SAME.
There are two cases:
Case 1—two INTEGERS having the SAME signs
Step 1. MULTIPLY or DIVIDE their ABSOLUTE values.
Step 2. Apply the POSITIVE sign to the PRODUCT or QUOTIENT.
Examples: 6 • 7 = 42 42 ÷ 7 = 6
(-6) • (-7) = 42 (-42) ÷ (-7) = 6
Case 2—two INTEGERS having DIFFERENT signs
Step 1. MULTIPLY or DIVIDE their ABSOLUTE values.
Step 2. Apply the NEGATIVE sign to the PRODUCT or QUOTIENT.
Examples: 6 • (-7) = -42 -42 ÷ 7 = -6
(-6) • 7 = -42 42 ÷ (-7) = -6
NOTES:
1. ZERO multiplied by any integer is ZERO.
2. ZERO divided by a nonzero integer is ZERO; any integer divided by zero is UNDEFINED.
3. ONE multiplied by any integer is THE NUMBER ITSELF since ONE is the IDENTITY element for MULTIPLICATION; any integer divided by 1 is THE NUMBER ITSELF.
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?