Q:

Which expression is equivalent to -1.3 - (-1.9)−1.3−(−1.9)minus, 1, point, 3, minus, left parenthesis, minus, 1, point, 9, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -1.3+(-1.9)−1.3+(−1.9)minus, 1, point, 3, plus, left parenthesis, minus, 1, point, 9, right parenthesis (Choice B) B -1.3+1.9−1.3+1.9minus, 1, point, 3, plus, 1, point, 9 (Choice C) C -1.9+1.3−1.9+1.3minus, 1, point, 9, plus, 1, point, 3 (Choice D) D 1.3+1.91.3+1.9

Accepted Solution

A:
Answer: Choise B: [tex]-1.3+1.9[/tex]Step-by-step explanation: For this exercise you must remember the multiplication of signs: [tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]   By definition, equivalent expression have the same value. Then, you can find an equivalent expression to the expression provided in the exercise by simplifying it. So, given: [tex]-1.3 - (-1.9)[/tex] To simplify it, you can distribute the negative that is located outside of the parentheses (in order to eliminate the parentheses). Applying this procedure, you get the following equivalent expression: [tex]-1.3 - (-1.9)=-1.3+1.9[/tex] Therefore, as you can notice, the expression obtained matches with the one shown in Choice B.