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If you know that 7x8 equals 56 how can you use the commutative property of multiplication to find the product of 8x7?
it any number can multiply by the same its commutative
Show a strategy you can use to find the product of 3 times 9?
commutative property 9X3
If you know that 4 X 5 equals 20 how can you use the Commutative order property to find 5 X 4?
That's what the communtitive property is, changing the order. like 4+5=9; 5+4=9. So 4x5=20 and 5x4=20.
Explain how to use the distributive property to find 20x12?
The distributive property is not used for simplified multiplication. See http://www.algebrahelp.com/lessons/simplifying/distribution for information about how to use the distributive property to simplify other equations. 20 x 12 is already simplified, so the proper way to solve it is 12 x20 ----- 240 You could potentially factor and use the commutative property to find a simpler equation, ex. 20x12 -- break 20 into 10 and 2 10x2x12 -- multiply 2 by 12 10x24 -- multiply by 10 240
Describe the role of axiom systems in algebra?
An axiom in algebra is the stepping stone to solving equations. In order to solve and equation you know how to use the commutative, associative, distributive, transitive and equalilty axiom to solve the basic steps. For example: if you want an equation in the form y = mx + b, given 6x - 3y = 9 you must subtract 6x from both sides giving: -3y = 9-6x. Then you divide by -3 to get y = -3 + 2x. But the equation is not in the from y = mx + b. So we use the commutative property to switch the -3 + 2x and make it 2x - 3. Now it become y = 2x -3. and it is in the form y = mx + b. This manipulation could not be perfromed unless tahe student knew the commutative property. Once the axiom is know the algebraic manipulations fall into place.
