Solve 3 + (-4): Using Number Line to Add Negative Numbers

Solve the following problem using the number line below:

3+(−4)= 3+(-4)=

-7-7-7-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555777666

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 The number is directed, positive
00:07 Movement to the positive side of the axis is to the right
00:10 Therefore, from point 0 we'll take 3 jumps to the right
00:14 The number is directed, negative
00:18 Movement to the negative side of the axis is to the left
00:22 We'll take 4 jumps to the left
00:28 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following problem using the number line below:

3+(−4)= 3+(-4)=

-7-7-7-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555777666

2

Step-by-step solution

We will locate the number 3 on the number line, then move 4 steps to the left from it (since minus 4 is less than zero):

-7-7-7-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555777666

We can see that we have reached the number minus 1.

3

Final Answer

−1 -1

Practice Quiz

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a is negative number.

b is negative number.

What is the sum of a+b?

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