Drill 22 Find each sum or difference 1

Drill #22* Find each sum or difference: 1. 2. 3.

Adding and Subtracting Rationals Adding pieces Taking half of the pie …

2 -6 Multiplying Rational Numbers Objective: To multiply rational numbers

Classwork (#22*) 2 -6 Practice # 1, 2, 3 *you can write on the worksheet.

Multiplying Two Rational Numbers • The product of two numbers having the same sign is positive. • The product of two numbers having the opposite sign is negative. (+)(+) = + (-)(+) = (+)(-) = -

Count the negatives A good rule to use when multiplying rational numbers: Count the number of negative numbers being multiplied: • If the number is even the product is positive (+) (two negatives cancel each other out) • If the number is odd the product is negative (-)

Multiplicative Property of -1 **(17. ) Definition: The product of any number and -1 is its additive inverse. -1(a) = -a and a(-1) = -a What property is this similar to?

Multiplying Rational Numbers **(16. ) When multiplying rational numbers: 1 st Convert all mixed fractions to improper fractions. (and integers to fractions with a denominator of 1) 2 nd Multiply all the numerators together 3 rd Multiply all the denominators together 4 th Reduce! 5 th Assign a positive or negative value (count the negative signs)

Example: Find the product:

Reducing Fractions To reduce a fraction: • Rewrite the numerator and denominator as a product of prime numbers (draw a factor tree) • Cancel all common factors from the numerator and denominator • Calculate the numerator and denominator again

Example: Reduce: a. 42 / 56 b. - 18 / 54

Classwork (#22*) Reduce the following fractions: 4. 5. 6.

Classwork (#21*) 2 -6 Practice #13 - 21

Homework Pass The 1 st to complete 2 -6 with no mistakes…