Ali tosses 3 number cubes,and then multiplies the results using the formula a x(bxc)and (axb)x c.Which property of multiplication does Ali use?
a(Associative Property Of Multiplication
b(Commutative Property Of Multiplication
c(Distributive Property Of Multiplication
d(Identity Property Of Multiplication
NOTE:x means multiplication
(a) associative means you can group the operations in any way. That is, you can associate pairs as you see fit.
Numbers sense explain how multiplication can help you find 7+7+7
To determine which property of multiplication Ali is using, let's understand what each property means:
a) Associative Property of Multiplication: This property states that the grouping of the numbers being multiplied does not affect the result. For example, (a x b) x c is equal to a x (b x c).
b) Commutative Property of Multiplication: This property states that changing the order of the numbers being multiplied does not affect the result. For example, a x b is equal to b x a.
c) Distributive Property of Multiplication: This property states that multiplication can be distributed over addition or subtraction. For example, a x (b + c) is equal to (a x b) + (a x c).
d) Identity Property of Multiplication: This property states that multiplying any number by 1 does not change its value. For example, a x 1 is equal to a.
Now, let's analyze Ali's formula:
a x (b x c) and (a x b) x c
In both cases, Ali is applying the Associative Property of Multiplication. This property allows Ali to group the numbers being multiplied differently while still maintaining the same result.
Therefore, the correct answer is: a) Associative Property of Multiplication.