which of the following is equivalent to (-2) - 5?
A. -2 + (-5)
B. -2 + 5
C. 2 +(-5)
D. 2 - (-5)
I'll be happy to check your answer.
I think it is B
If you lost 2 dollars and then lost 5 dollars -- how much have you lost altogether?
B is not the answer.
To determine which of the following expressions is equivalent to (-2) - 5, let's break it down step by step.
The expression (-2) - 5 represents subtracting 5 from -2.
To subtract a number, we can use the concept of addition by adding the opposite of the number we want to subtract. The opposite of a number is the number that, when added to the original number, gives a sum of zero.
Therefore, to subtract 5 from -2, we can take the opposite of 5 and add it to -2.
The opposite of 5 is -5, so we need to add -5 to -2.
Now let's consider each option provided:
A. -2 + (-5)
In this option, we add -5 to -2. This expression is summing both the numbers, not subtracting them, so it is not equivalent to (-2) - 5.
B. -2 + 5
This option adds 5 to -2, which is not equivalent to subtracting 5 from -2.
C. 2 + (-5)
This option adds -5 to 2, which is also not equivalent to subtracting 5 from -2.
D. 2 - (-5)
In this option, we have -(-5). The subtraction of a negative number is the same as adding its opposite. Therefore, this expression can be simplified as 2 + 5, which is equivalent to (-2) - 5.
Therefore, the answer is option D. 2 - (-5) is equivalent to (-2) - 5.