Question

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. Desmos Scientific Calculator (To open the calculator in a new window, remember to hold Ctrl before selecting this link.) (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

Answer 1

Let's solve each of the equations step by step.

1. ___ + 5 = 0 To find the missing number, we can isolate it:

   \[ x + 5 = 0 \]

   Subtract 5 from both sides:

   \[ x = -5 \]

   So, the answer for the first blank is -5.

2. -3 + ___ = negative number Here, we need to find any number that makes the entire expression negative. Since -3 is already negative, we need to add a number that keeps the sum negative.

   \[ -3 + x < 0 \]

   Rearranging gives:

   \[ x < 3 \]

   Therefore, the answer for the second blank could be any number less than 3, such as -1, -2, 0, etc. You can use any valid negative number or even any positive number less than 3.

3. ___ - 2 = negative number Similar to before, we are looking for a number that when 2 is subtracted from it results in a negative number.

   \[ x - 2 < 0 \]

   Rearranging gives:

   \[ x < 2 \]

   Thus, the answer for this blank could also be any number less than 2, such as -1, -2, 0, etc.

Summary of Answers:

• First blank: -5
• Second blank: Any number < 3 (like -1, 0, etc.)
• Third blank: Any number < 2 (like -1, 0, etc.)