Solve (-12)+(-2)+4?-15: Finding the Missing Number in a Sequence

(−12)+(−2)+4?−15 (-12)+(-2)+4\text{?}-15

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Step-by-step video solution

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00:00 Choose the appropriate sign
00:03 Let's start from the point (-12) on the negative side of the axis
00:06 The number is directed and negative
00:10 The negative direction on the axis is to the left, so we'll go 2 units left
00:16 The number is directed and positive
00:21 The positive direction on the axis is to the right, so we'll go 4 units right
00:34 This is the solution for the left side
00:44 Let's find both solutions on the axis and see which one is larger
00:47 On the left side, further from point 0 means it's smaller
00:51 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

(−12)+(−2)+4?−15 (-12)+(-2)+4\text{?}-15

2

Step-by-step solution

Let's first solve the following equation:

(−12)+(−2)+4= (-12)+(-2)+4=

We'll then locate -12 on the number line and move two steps to the left (since -2 is less than zero):

-22-21-20-19-18-17-16-15-14-13-12-11-10

This puts us at the number -14.

Now let's move 4 steps to the right (since 4 is greater than zero):

-22-21-20-19-18-17-16-15-14-13-12-11-10

We've reached the number minus 10.

Therefore, the solution to the equation is:

(−12)+(−2)+4=−10 (-12)+(-2)+4=-10

The appropriate sign will be:

−10>−15 -10>-15

3

Final Answer

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Practice Quiz

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\( (-8)-(-13)= \)

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