Language Goal Students should be able to explain how to perform
multiplication and division with real numbers.
Math Goal Students should be able to multiply and divide
real numbers.
Essential Question How do you translate between written word and
math in order to solve real-world problems?
Learning Targets
Written AlgebraDirections: Write each expression two ways using words!
1. w + 9 2. 3. y – 3
4. 6(4 + m) 5. 9y - 8
Warm-up
Reciprocal:
Multiplicative Inverse:
Vocabulary
Two numbers are a reciprocal if their product is one.
Think about flipping a fraction:
reciprocal is
A number and its reciprocal.
Same Signs = Always Positive
Different Signs = Always Negative
Multiplying and Dividing Fractions
-5(-4) = 20
-9(6) = -54 = -9
Multiplying fractions◦ Numerator times numerator◦ Denominator times denominator◦ Simplify the fraction
Review of Fractions
4−5×−36
Dividing Fractions◦ Keep the first fraction◦ Switch the sign from multiplication to division◦ Flip the second fraction
Review of Fractions
3−4÷12
Words Numbers AlgebraMultiplication by Zero
Zero Divided by a Number
Division by Zero
Properties of Zeros
The product of any number and 0 is 0
·0 = 0
0(-17) = 0
a·0 = 0
0·a = 0
The quotient of 0 and any nonzero number is 0
0 ÷ = 0
a≠0
Division by 0 is undefined
12 ÷ 0
undefined
a ÷ 0
undefined