Let's solve the equations one by one and determine which numbers fit:
-
___ + 5 = 0
- To find the missing number, we can rearrange the equation: \[ ___ = 0 - 5 \ ___ = -5 \] So, we can fill in the blank with -5.
-
-3 + ___ = negative number
- To make the sum negative, the blank must be filled with a number that, when added to -3, yields a result less than zero.
- For example:
- If we choose -1, we get: \[ -3 + (-1) = -4 \quad (\text{which is negative})\ \]
- If we choose -2, we get: \[ -3 + (-2) = -5 \quad (\text{which is also negative})\ \]
- Therefore, -1 and -2 can both fill in the blank.
-
___ - 2 = negative number
- For this equation, to result in a negative number, the blank must be less than 2.
- Valid options from the choices are -5, -2, and -1 since: \[ -5 - 2 = -7 \ -2 - 2 = -4 \ -1 - 2 = -3 \]
- All three of these yield a negative result.
Now, putting it all together, the answers we can use for the blanks are:
- For the first blank: -5
- For the second blank: -1 or -2
- For the third blank: -5, -2, or -1
Thus, the responses that fit into the boxes are:
- -5
- -1 or -2
- -5 or -2 or -1
Here’s a quick summary of fillable options:
- First Blank: -5
- Second Blank: -1 (or -2)
- Third Blank: -5 (or -2 or -1)
If you are required to choose only one for each blank:
- -5
- -1
- -5
Based on your question instructions:
- The selection for the blanks would look like: First Blank: -5 Second Blank: -1 Third Blank: -5