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When adding integers:

When subtracting integers, remember to add the opposite (Keep Change Change).



Now, determine ALL of the number(s) that will make the statement true. Numbers may be used more than once.

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(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
___ + 5 = 0 -3 + ___ = negative number ___ - 2 = negative number

1 answer

To solve the equations given in your question, we’ll find the missing numbers step by step.

  1. ___ + 5 = 0 To solve for the missing number (let's call it x): \( x + 5 = 0 \) To find x, subtract 5 from both sides: \( x = -5 \)

  2. -3 + ___ = negative number When we add some number (let's call it y) to -3, we want the result to be negative. Let's analyze: \(-3 + y < 0\) Adding a number less than 3 to -3 will give us a negative number. Therefore, y must be: \(y < 3\)

  3. ___ - 2 = negative number We want to find a number (let's call it z) such that: \( z - 2 < 0 \) Rearranging gives us: \( z < 2 \)

Summary of Results:

  • For the first equation: -5
  • For the second equation: Any integer less than 3 (like -2, -1, 0, 1, or 2)
  • For the third equation: Any integer less than 2 (like -3, -2, -1, 0, or 1)

Final Responses:

  • For the first blank: -5
  • For the second blank: Any integer less than 3 (like -2)
  • For the third blank: Any integer less than 2 (like -3)

You can fill in with those responses accordingly based on the given inputs.