Chapter 2.4/2.6 Notes: Multiplying and Dividing Real Numbers

1
Chapter 2.4/2.6 Notes Multiplying and Dividing
Real Numbers

• Goal You will multiply and divide real numbers.

2

• Rules for Multiplying Integers
• Multiplying two numbers with the same sign will
  ALWAYS equal a positive number.
• i.e. 4(8) ___
• i.e. -9(-5) ____
• Multiplying two numbers with different signs will
  ALWAYS equal a negative number.
• i.e. 4(-9) ____
• i.e. -10(50) ____

3

• Find the product.
• Ex.1 2(-5)(-4) Ex.2
• Ex.3 -14(2)(-4)
• Properties of Multiplication
• Property of Zero The product of a number and 0
  is 0.
• i.e. -3 0 ___
• i.e. 5(0) ____

4

• The identity property states that the product of
  a number a and 1 is a. The number 1 is called the
  multiplicative identity.
• The reciprocal of a nonzero number a, written as
  , is called the multiplicative inverse of a.
• i.e. ____ i.e.
  ___
• i.e. The multiplicative inverse of is
  _____.

5

• Rules for Dividing Integers
• Dividing two numbers with the same sign will
  ALWAYS equal a positive number.
• i.e. 28 7 ___
• i.e. -15 -3 ___
• Dividing two numbers with different signs will
  ALWAYS equal a negative number.
• i.e. -16 4 ___
• i.e. 99 -11 ___

6

• Find the quotient.
• Ex.4 68 -4 Ex.5 -45
  -15
• Ex.6 Ex.7