multiplication properties shirley garrett 5 th grade
TRANSCRIPT
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Multiplication Properties
Shirley Garrett5th Grade
![Page 2: Multiplication Properties Shirley Garrett 5 th Grade](https://reader036.vdocuments.net/reader036/viewer/2022082917/5514a2af550346f06e8b5ae8/html5/thumbnails/2.jpg)
Multiplication Properties
Commutative PropertyAssociative PropertyIdentity PropertyZero PropertyDistributive Property
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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.
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Commutative Property
The order of the numbers doesn’t change the result (answer to the problem)p X q = q X p
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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.
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Commutative Property
9 X 3 = 3 X 956 X 11 = 11 X 564 X 8 = 8 X 45 X 9 = 9 X 5
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Associative Property
The grouping of the factors doesn’t change the answer.(p X q) X r = p X (q X r)
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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.
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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
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Identity Property
Any number multiplied by 1 will give you the original number.23,487 X 1 = 23,487
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Identity Property
234 X 1 = zq X 2,567 = 2,56798,765 X d = 98,765
Answers are on the next slide.
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Identity Property
234 X 1 = 2341 X 2,567 = 2,56798,765 X 1 = 98,765
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Zero Property
When any number is multiplied with zero, the answer is zero.98,756,432 X 0 = 0
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Zero Property
7,547,598,375 X c = 0758,375,937 X 0 = bz X 75,879,705 = 0
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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)
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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.
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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)
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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.
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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
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How did you do?
18 correct Excellent17 correct Very Good16 - 15 correct Good14 - 13 correct Passing12 – 0 correct You need more practice.