Solve (-6)+(-7)+13: Evaluating the Sum to Zero

(6)+(7)+13?0 (-6)+(-7)+13\text{?}0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the appropriate sign
00:03 Let's start from point (-6) on the negative side (left) of the axis
00:07 The number is directed and negative
00:10 The negative direction on the axis is left, so we'll take 7 to the left
00:25 The number is directed and positive
00:30 The positive direction on the axis is right, so we'll take 13 to the right
00:49 This is the solution for the left side
00:53 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

(6)+(7)+13?0 (-6)+(-7)+13\text{?}0

2

Step-by-step solution

Let's first solve the equation:

(6)+(7)+13= (-6)+(-7)+13=

We'll need to locate -6 on the number line and then move 7 steps to the left (since -7 is less than zero):

-15-14-13-12-11-10-9-8-7-6-5-4-3

After doing this, we will have reached the number -13.

Now we'll move 13 steps to the right (since 13 is greater than zero):

-15-14-13-12-11-10-9-8-7-6-5-4-3-2-10

After doing this, we will have reached the number 0.

The solution to the equation is:

(6)+(7)+13=0 (-6)+(-7)+13=0

Therefore, the appropriate sign will be:

0=0 0=0

3

Final Answer

= =

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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