multiplication properties 5 th grade. multiplication properties associative property commutative...
Post on 14-Dec-2015
268 Views
Preview:
TRANSCRIPT
Multiplication Properties
Associative PropertyCommutative PropertyZero Property Identity PropertyDistributive Property
Why Should you Learn about the Properties of Multiplication?
It helps you solve problems without working them out.It helps with mental math.It makes understanding math easier.
Associative Property
The grouping of the factors doesn’t change the answer (the parenthesis are moved).(p X q) X r = p X (q X r)(2 X 3) X 4 = 2 X (3 X 4)
Associative Property
3 X (4 X 2) = (n X 4) X 24 X (p X 7) = (4 X 1) X 75 X (7 X 2) = (5 X 7) X n(2 X z) X 5 = 2 X (8 X 5)
Is this Associative?5 X (n X 2) = (2 X 5) X 5 Watch out!
Answers are on the next slide.
Associative Property
3 X (4 X 2) = (3 X 4) X 24 X (1 X 7) = (4 X 1) X 75 X (7 X 2) = (5 X 7) X 2(2 X 8) X 5 = 2 X (8 X 5)
Is this Associative? No, it’s commutative.5 X (5 X 2) = (2 X 5) X 5
Commutative Property
The order of the numbers doesn’t change the result (answer to the problem)p X q = q X p4 X 5 = 5 X 4
Commutative Property
9 X 3 = 3 X w56 X p = 11 X 56q X 8 = 8 X 45 X 9 = r X 5
The answers are on the next slide.
Distributive Property
To multiply a sum by a number, you can multiply each addend by the number and then add the products.
6 X 23 = 6 X (20+3) = (6X20)+(6X3)
Distributive Property
4 X 509 = (4 X 500) + (4 X m)6 X 310 = (6 X n) + (6 X 10)s X 205 = (5 X 200) + (5 X 5)
The answers are on the next slide.
Distributive Property
4 X 509 = (4 X 500) + (4 X 9)6 X 310 = (6 X 300) + (6 X 10)5 X 205 = (5 X 200) + (5 X 5)
Test Yourself
1. 9 X 3 = 3 X 92. 3 X (4 X 2 ) = (3 X 4) X 23. 234 X 1 = 2344. 56 X 11 = 11 X 565. 7,547,598,375 X 0 = 06. 4 X 8 = 8 X 47. 5 X (7 X 2) = (5 X 7) X 28. 4 X 509 = (4 X 500) + (4 X
9)9. 6 X 310 = (6 X 300) + (6X
10)
10.(2 X 8) X 5 = 2 X (8 X 5)11.1 X 2,567 = 2,56712.12. 195 X 5 = (200 X 5) – (5
X 5)13.0 X 75,879,705 = 014.98,765 X 1 = 98,76515.5 X 9 = 9 X 516.5 X 205 = (5 X 200) + (5 X 5)17.4 X (1 X 7) = (4 X 1) X 718.758,375,937 X 0 = 0
Rewrite each equation with the correct answer, and write the name of the property.
Test Yourself Answers
1. 9 X 3 = 3 X 9 Commutative2. 3 X (4 X 2) = (3 X 4) X 2
Associative3. 234 X 1 = 234 Identity4. 56 X 11 = 11 X 56
Commutative5. 7,547,598,375 X 0 = 0 Zero6. 4 X 8 = 8 X 4 Commutative7. 5 X (7 X 2) = (5 X 7) X 2
Associative8. 4 X 509 = (4 X 500) + (4 X 9)
Distributive9. 6 X 310 = (6 X 300) + (6 X
10) Distributive
10.(2 X 8) X 5 = 2 X (8 X 5) Associative
11.1 X 2,567 = 2,567 Identity12.195 X 5 = (200 X 5) – (5 X 5)
Distributive13.0 X 75,879,705 = 0 Zero14.98,765 X 1 = 98,765 Identity15.5 X 9 = 9 X 5 Commutative16.5 X 205 = (5 X 200) + (5 X
5) Distributive17.4 X (1 X 7) = (4 X 1) X 7
Associative18.758,375,937 X 0 = 0 Zero
top related