multiplication properties
DESCRIPTION
Multiplication Properties. Shirley Garrett 5 th Grade. Multiplication Properties. Commutative Property Associative Property Identity Property Zero Property Distributive Property. Why Should you Learn about the Properties of Multiplication?. - PowerPoint PPT PresentationTRANSCRIPT
Multiplication Properties
Shirley Garrett5th Grade
Multiplication Properties
Commutative PropertyAssociative PropertyIdentity PropertyZero 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.
Commutative Property
The order of the numbers doesn’t change the result (answer to the problem)p X q = q X p
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.
Commutative Property
9 X 3 = 3 X 956 X 11 = 11 X 564 X 8 = 8 X 45 X 9 = 9 X 5
Associative Property
The grouping of the factors doesn’t change the answer.(p X q) X r = p X (q X r)
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
Identity Property
Any number multiplied by 1 will give you the original number.23,487 X 1 = 23,487
Identity Property
234 X 1 = zq X 2,567 = 2,56798,765 X d = 98,765
Answers are on the next slide.
Identity Property
234 X 1 = 2341 X 2,567 = 2,56798,765 X 1 = 98,765
Zero Property
When any number is multiplied with zero, the answer is zero.98,756,432 X 0 = 0
Zero Property
7,547,598,375 X c = 0758,375,937 X 0 = bz X 75,879,705 = 0
Distributive Property
Multiplying the sum (or difference) by a number is the same as multiplying each number in the sum (or difference) by the number and adding (or subtracting) the product.9 X (20 - 3) = (9 X 20) – (9 X 3)8 X (40 + 5) = (8 X 40) + (8 X 5)8 X 45 = (8 X 40) + (8 X 5)
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)195 X 5 = (200 X 5) – (5 X t)
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)195 X 5 = (200 X 5) – (5 X 5)
Test Yourself
1. 9 X 3 = 3 X w2. 3 X (4 X 2 ) = (n X 4) X 23. 234 X 1 = z4. 56 X p = 11 X 565. 7,547,598,375 X c = 06. q X 8 = 8 X 47. 5 X (7 X 2) = (5 X 7) X n8. 4 X 509 = (4 X 500) + (4 X
m)9. 6 X 310 = (6 X n) + (6 X
10)
10.(2 X z) X 5 = 2 X (8 X 5)11.q X 2,567 = 2,56712.12. 195 X 5 = (200 X 5) – (5
X t)13.z X 75,879,705 = 014.98,765 X d = 98,76515.5 X 9 = r X 516.s X 205 = (5 X 200) + (5 X 5)17.4 X (p X 7) = (4 X 1) X 718.758,375,937 X 0 = b
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
How did you do?
18 correct Excellent17 correct Very Good16 - 15 correct Good14 - 13 correct Passing12 – 0 correct You need more practice.