Solve (-10) + 3: Addition on the Number Line

Solve the following expression using the number line below:

(−10)+3= (-10)+3= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222-7-7-7-8-8-8-9-9-9-10-10-10

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solution
00:03 Let's start from point (-10) on the negative (left) side of the axis
00:07 The number is directed and positive
00:10 The positive direction on the axis is to the right, so we'll go 3 to the right
00:19 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following expression using the number line below:

(−10)+3= (-10)+3= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222-7-7-7-8-8-8-9-9-9-10-10-10

2

Step-by-step solution

Let's first locate negative 10 on the number line.

Now let's handle the operation in the exercise, given that the operation is +3 +3

Since the number 3 is greater than 0, we will move three steps to the right from negative 10, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222-7-7-7-8-8-8-9-9-9-10-10-10

We can see that the number we reached is negative 7.

3

Final Answer

−7 -7

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

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