Finding the Missing Number in (+15) + (-4) + □ to Make a Negative Sum

Before you is an exercise:

(+15)+(4)+ \left(+15\right)+\left(-4\right)+\square

What number can be inserted so that the sum will be negative?

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Step-by-step written solution

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1

Understand the problem

Before you is an exercise:

(+15)+(4)+ \left(+15\right)+\left(-4\right)+\square

What number can be inserted so that the sum will be negative?

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Calculate the sum of the two provided numbers.
  • Step 2: Determine the number that will keep the entire sum negative.
  • Step 3: Compare with the given choices and select the correct one.

Now, let’s calculate step-by-step:

Step 1: Calculate +15+(4) +15 + (-4) .
This results in 154=11 15 - 4 = 11 .

Step 2: We need to find a number x x such that:

11+x<0 11 + x < 0 .

Solving for x x :

x<011 x < 0 - 11

x<11 x < -11

Step 3: From the choices provided, only 12 -12 satisfies this inequality. Thus, the number that can be inserted to make the sum negative is:

12 -12

3

Final Answer

12 -12

Practice Quiz

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What is the additive inverse number of \( 87 \)

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