Vocabulary
What is the answer to a multiplication problem called?
Product
Solve: -8 x 7
-56
Solve: -0.6 × 8
-4.8
Rewrite 6 × (-11) using the Commutative Property.
6 × (-11) = (-11) × 6
Question: A football player loses 6 points each round for 4 rounds. What is the total change in points?
-24 points
What property states that numbers can be multiplied or added in any order?
Commutative Property
Solve: -12 × (-9)
108
Solve: (-2/3) × (-9)
6
Rewrite (4 × -3) × 7 using the Associative Property.
(4 × -3) × 7 = 4 × (-3 × 7)
A diver descends 3/4 mile each stage for 4 stages. What is the total change in elevation?
-3 miles
What property allows us to change how numbers are grouped when multiplying or adding?
Associative Property
Solve: -15(13)
-195
Solve: (-3.5) × (-2.4)
8.4
Expand -5(8 + 3) using the Distributive Property.
-5(8 + 3) = (-5 × 8) + (-5 × 3)
A student loses $2.75 from their allowance each time they forget a chore. If they forget 6 chores, what is the total change in their allowance?
-$16.50
What property allows us to multiply a number by each term inside parentheses?
Distributive Property
Solve: -24 × (-16)
384
Solve: (-2 1/4)(3 1/3)
-7 1/2
Identify the property shown:
9 × (2 × -4) = (9 × 2) × -4
Associative Property
A spacecraft descends at a rate of 8.4 kilometers per minute. What is its change in height after 3.5 minutes?
-29.4 kilometers
What is the multiplicative identity, and why?
1, because multiplying any number by 1 gives the original number.
Solve: (-18) × 25 × (-2)
900
Solve: (-4 2/5) × (-2 1/2)
11
Rewrite -6(12 - 5) using the Distributive Property, then solve.
(-6 × 12) - (-6 × 5) = -42
A hiker descends 1 2/5 miles between rest stations in a canyon. Starting at sea level, what is the hiker's elevation at the fifth rest station?
-7 miles