Final answer:
The expression equivalent to (-7) – 2 is 7 - (-2), which applies the rule of changing a subtraction to the addition of a negative number.
Step-by-step explanation:
Understanding Expressions
Let's examine the given expressions to find one equivalent to (-7) – 2. Recall the rule that when subtracting, you change the sign of the number being subtracted, so the expression (-7) - 2 becomes (-7) + (-2). This is because subtracting a positive is the same as adding its negative equivalent.
Now let's review the provided options:
(-7)+2 does not equal (-7) - 2 because adding a positive number is not the same as adding a negative.
7 - (-2) does equal (-7) - 2. Here, we are subtracting a negative, which is equivalent to adding the positive of that number.
7+(-2) is not the same because here we have a positive 7, not a negative.
(-7)+(-2) is also not the same, as this is just adding two negative numbers together, not subtracting.
Therefore, the expression with the same value as (-7) – 2 is 7 - (-2).