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

Question

30(10)= -30-(-10)=

Video Solution

Solution Steps

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 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.

Answer

20 -20