Solve -5-(-2): Using Number Line to Subtract Negative Numbers

−5−(−2)= -5-(-2)=

-7-7-7-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Negative times negative always equals positive
00:06 Let's open the parentheses
00:11 The number is directed, positive
00:14 Movement towards the positive side of the axis is to the right
00:18 We'll take from point (-5) 2 units towards the positive direction (right)
00:24 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

−5−(−2)= -5-(-2)=

-7-7-7-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

2

Step-by-step solution

Let's remember the rule:

−(−x)=+x -(-x)=+x

Therefore, the exercise we received is:

−5+2= -5+2=

We'll locate minus 5 on the number line and move two steps to the right (since 2 is greater than zero):

-7-7-7-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

We can see that we've arrived at the number minus 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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