multiplication properties
DESCRIPTION
Multiplication Properties. Multiplication Properties. Commutative Property Associative Property Distributive Property. Why Should you Learn about the Properties of Multiplication?. It helps you solve problems without working them out. It helps with mental math. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/1.jpg)
Multiplication Properties
![Page 2: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/2.jpg)
Multiplication Properties
• Commutative Property• Associative Property• Distributive Property
![Page 3: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/3.jpg)
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.
![Page 4: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/4.jpg)
Commutative Property
• The order of the numbers doesn’t change the result (answer to the problem)
• 3 X 4 = 4 X 3 12 = 12
![Page 5: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/5.jpg)
Commutative Property
• 9 X 3 = 3 X • 56 X = 11 X 56• X 8 = 8 X 4• 5 X 9 = X 5
The answers are on the next slide.
![Page 6: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/6.jpg)
Commutative Property
• 9 X 3 = 3 X 9 27 = 27 • 56 X 1 = 1 X 56 56 = 56• 4 X 8 = 8 X 4 32 = 32• 5 X 9 = 9 X 5
45 = 45
![Page 7: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/7.jpg)
Associative Property• The grouping of the factors doesn’t change
the answer.• (4 X 2) X 3 = 4 X (2 X 3) 24 = 24
![Page 8: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/8.jpg)
Associative Property• 3 X (4 X 2) = ( X 4) X 2
• 4 X ( X 7) = (4 X 1) X 7
• 5 X (7 X 2) = (5 X 7) X
• (2 X ) X 5 = 2 X (8 X 5)
Is this Associative?• 5 X ( X 2) = (2 X 5) X 5 Watch out!Answers are on the next slide.
![Page 9: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/9.jpg)
Associative Property• 3 X (4 X 2) = (3 X 4) X 2 24 = 24• 4 X (1 X 7) = (4 X 1) X 7 28 = 28• 5 X (2 X 2) = (2 X 5) X 2 20 = 20• (2 X 4) X 5 = 2 X (4 X 5) 40 = 40
Is this Associative? No, it’s commutative.• 5 X (5 X 2) = (2 X 5) X 5
![Page 10: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/10.jpg)
Distributive Property• Multiplying the answer by a number is the
same as multiplying each number in the answer by a number and adding (or subtracting) the product.9 X (10 - 3) = (9 X 10) – (9 X 3)
9 x (7) = (9 X 10) – (9 X 3) 9 x (7) = (90) – (27) 63 = 63
![Page 11: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/11.jpg)
Distributive Property• 2 X (10 + 2) = (2 X 10) + (2 X ) 2 X 12 = 20 + 24 = • 6 X (10 + 3) = (6 X ) + (6 X 3) 6 X 13 = + 18 78 = The answers are on the next slide.
![Page 12: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/12.jpg)
Distributive Property• 2 X (10 + 2) = (2 X 10) + (2 X 2) 2 X 12 = 20 + 4 24 = 24• 6 X (10 + 3) = (6 X 10) + (6 X 3) 6 X 13 = 60 + 18 78 = 78
![Page 13: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/13.jpg)
Order of Operations
• Please P Parentheses• Excuse E Exponents (not covered in 4th grade)
• My Dear M/D Multiplication/Division• Aunt Sally A/S Addition/Subtraction• • *Multiplication and Division are in the same step. In this
case you would go from LEFT to RIGHT!• *Addition and Subtraction are in the same step. In this case
you would go from LEFT to RIGHT!
![Page 14: Multiplication Properties](https://reader036.vdocuments.site/reader036/viewer/2022072014/56812caa550346895d91568b/html5/thumbnails/14.jpg)
ExamplesExample: • 7 + 3 x 5• 7 + 15• 22 Example:• 7 x 3 – (4 x 3) +14 ÷ 2• 7 x 3 – 12 +14 ÷ 2• 21 – 12 + 14 ÷ 2• 21 – 12 + 7• 9 + 7• 16