Solve -30-(-10): Working with Double Negatives in Subtraction

−30−(−10)= -30-(-10)=

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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
00:07 Open parentheses
00:10 Find the point (-30) on the axis
00:14 The number is directed, positive
00:17 Movement towards the positive side of the axis is to the right
00:21 Let's take 10 jumps to the right
00:35 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

−30−(−10)= -30-(-10)=

2

Step-by-step solution

Let's remember the following rule:

−(−x)=+ -(-x)=+

Now let's write the exercise in the appropriate form:

−30+(10)= -30+(10)=

We'll locate the number negative 30 on the number line.

We'll move 10 steps to the right (since 10 is greater than zero):

-19-19-19-20-20-20-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-28-28-28-29-29-29-30-30-30-31-31-31-32-32-32

We can see that we've arrived at the number negative 20.

3

Final Answer

−20 -20

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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