Solve -4 + 7 Using Number Line: Visual Addition with Integers

4+7= -4+7= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

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Step-by-step video solution

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00:00 Solve
00:03 The number is directed and negative
00:09 The negative direction on the axis is to the left, so we'll go 4 to the left
00:14 The number is directed and positive
00:18 The positive direction on the axis is to the right, so we'll go 7 to the right
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

4+7= -4+7= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

2

Step-by-step solution

Let's locate negative 4 on the number line.

Since negative 4 is less than 0, we'll move four steps left from zero, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

Now let's look at the operation in the exercise.

Since the operation is +7 +7

And since 7 is greater than 0, we'll move seven steps to the right from negative 4, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666-7-7-7

We can see that we arrived at the number 3.

3

Final Answer

3 3

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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