Determine which number(s) make the statement true. Numbers may be used more than once.

(3 points)
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___ + 5 = 0
-3 + ___ = negative number
___ - 2 = negative numb

put the answer that go in the boxs :
-5 -2 -1 1 2 3 5
page 6 of 6

3 answers

Let's solve the equations one by one and determine which numbers fit:

  1. ___ + 5 = 0

    • To find the missing number, we can rearrange the equation: \[ ___ = 0 - 5 \ ___ = -5 \] So, we can fill in the blank with -5.
  2. -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.
  3. ___ - 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:

  1. -5
  2. -1 or -2
  3. -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:

  1. -5
  2. -1
  3. -5

Based on your question instructions:

  • The selection for the blanks would look like: First Blank: -5 Second Blank: -1 Third Blank: -5
is that correct

Let's review the answers to ensure accuracy:

  1. ___ + 5 = 0

    • To solve this: \[ x + 5 = 0 \ x = -5 \]
    • So the answer for this blank is -5.
  2. -3 + ___ = negative number

    • We want the sum to be negative:
    • Possible options:
      • If we use -1: \[ -3 + (-1) = -4 \quad (\text{negative}) \ \]
      • If we use -2: \[ -3 + (-2) = -5 \quad (\text{negative}) \ \]
    • So either -1 or -2 can fill this blank.
  3. ___ - 2 = negative number

    • For this equation, we require the result to be negative:
    • This means the number must be less than 2.
    • Valid options:
      • -5: \[ -5 - 2 = -7 \quad (\text{negative})\ \]
      • -2: \[ -2 - 2 = -4 \quad (\text{negative})\ \]
      • -1: \[ -1 - 2 = -3 \quad (\text{negative})\ \]
    • So, the valid options are -5, -2, or -1.

To summarize:

  1. First blank: -5
  2. Second blank: -1 or -2
  3. Third blank: -5, -2, or -1

So the answers I provided are indeed correct based on your original questions:

  • For the first blank: -5
  • For the second blank: either -1 or -2
  • For the third blank: either -5, -2, or -1.

If you are required to pick only one for each blank:

  • First Blank: -5
  • Second Blank: -1 (or -2)
  • Third Blank: -5 (or -2 or -1)

Thus, if you needed only one for each blank, the selections would have been:

  1. -5
  2. -1 (or -2, either is correct)
  3. -5 (or -2 or -1, any will work)

If your task allows for flexible answers, then the responses stand as correctly stated. If you have specific preferences or additional rules to follow, please let me know!

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