Chapter 2.4/2.6 Notes: Multiplying and Dividing Real Numbers Goal: You will multiply and divide real numbers.

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) = ____

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) = ____

The identity property states that the product of a number a and 1 is a 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 _____.

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 = ___

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