4. Verify the associative law of addition for the following groups of rational numbers.
1/2, -2/3 and 1/5
Plz Answer Correctly
Answers
Answer:
By rational numbers, you are referring to numbers like 3,
1
2
, -9.5, or 0. (any ratio of two integers that can be written as a fraction)
Give yourself an easy example first:
10
2
=
5
, right?
Well, now commute or switch the order of the division:
2
10
=
1
5
.
They are definitely not the same!
Multiplication, of course, is commutative:
2
⋅
5
=
5
⋅
2
=
10
Division is the inverse operation of multiplication, but it is NOT commutative.
Addition, we know, is commutative as well: 4 + 8 = 8 + 4 = 12.
Subtraction is the inverse operation of addition, but it is NOT commutative:
4
−
8
≠
8
−
4
since -4
≠
4.
I guess it's important to know what operations are inverses of each other, and to test the Commutative Property just in case!
Step-by-step explanation: