Two algebra II questions... simple, i believe?
give a numerical example to show that subtraction is not commutative.
and
give a numerical example to show that subtraction is not associative.
thanks(:
1 - 2 does not equal 2 - 1
This is an example of subtraction not being commutative.
(10-9)-8 does not equal 10 -(9-8).
This is an example of subtraction not being associative. It is a property of operations that involve three numbers.
-(22, 5, -12 ) = ( -22, -5, 12 ) NOT COMMUTATIVE
6 - (3 - 2) and (6 - 3) - 2
NOT EQUAL SO NOT ASSOCIATIVE
To show that subtraction is not commutative, you need to find two numbers where the order of subtraction matters. Let's consider the numbers 5 and 2.
When you subtract 2 from 5, you get 5 - 2 = 3.
However, if you subtract 5 from 2, you get 2 - 5 = -3.
Since 3 is not equal to -3, we can see that the order of subtraction affects the result. Therefore, subtraction is not commutative.
To show that subtraction is not associative, you need to find three numbers where the grouping of operations affects the result. Let's use the numbers 6, 2, and 1.
If you subtract 1 from the difference of 6 and 2, you would have (6 - 2) - 1 = 4 - 1 = 3.
However, if you subtract 2 from the difference of 6 and 1, you would have (6 - 1) - 2 = 5 - 2 = 3.
In both cases, you end up with 3 as the result, so the grouping of operations does not affect the outcome. Therefore, subtraction is associative.