to identify basic multiplication facts and properties
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To identify basic multiplication facts and properties
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MENTAL MATH Find each sum:
1.2 + 2 + 2 + 2 2.5 + 5 + 5 3.8 + 8 + 8 +8 4.9 + 9 + 95.4 + 4 + 4 + 4 + 46.7 + 7 + 7 + 7 + 77.1 + 1 + 1 + 1 + 1 + 1 + 1
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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 PropertyThe order of the numbers doesn’t change the result (answer to the problem)
6 x 4 = 4 x 6
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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
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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 PropertyThe grouping of the factors doesn’t change the answer.
(4 x 2) x 3 = 24 4 x (2 x 3) = 24
(5 x 1) x 6 = 30 5 x (1 x 6) = 30
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Associative Property3 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!
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Associative Property3 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 PropertyAny number multiplied by 1 will give you the original number.
23,487 X 1 = 23,487
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Identity Property234 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 PropertyWhen any number is multiplied with zero, the answer is zero.
If one factor is O, the product is O.
Example: 98,756,432 X 0 = 0
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Zero Property
7,547,598,375 X o = 0758,375,937 X 0 = 00 X 75,879,705 = 0
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Distributive PropertyMultiplying 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 Property4 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)
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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 Answers1. 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.