Answer: we can use the commutative property to show the difference in the following ways:-
a. (-3.2t + 2.8) - (-5.1t + 7.8)
b. 1.9t - 5
c. (-3.2t + 2.8) - (-5.1t + 7.8)
Step-by-step explanation:
Commutative simply has to do with "moving around". In the case of addition, the commutative property rule is "x + y = y + x". When it comes to numbers, it my 7 + 8 = 8 + 7. In the case of multiplication, the commutative property rule is "m × n = n × m". So whenever commutative property is referred to, what is expected is "to move around". Commutative property rule can be executed as you pair, add or subtract like terms e.g 2a - 4 + 9a can be rewritten as 2a + 9a - 4 or 11a - 4
In the question, we were asked to subtract (7.8 - 5.1t) from (2.8 - 3.2t) and use the commutative property to show the difference in another way.
Subtracting (7.8 - 5.1t) from (2.8 - 3.2t) will give:-
(2.8 - 3.2t) - (7.8 - 5.1t) (This is the original expression)
Removing the bracket:
2.8 - 3.2t - 7.8 + 5.1t
= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)
Subtracting the like terms, will give: 1.9t - 5 (This is also the difference shown in another way).
Recall that the initial expression was
(2.8 - 3.2t) - (7.8 - 5.1t).
We can also use the commutative property rule to show the difference in the following way:-
(-3.2t + 2.8) - (-5.1t + 7.8)
By so doing, the figures have been rearranged without altering or affecting the outcome of the expression.
