Solve: 13-(-3)+(-4)?12-(-2)-2 | Integer Operations with Multiple Signs

Question

Fill in the missing sign (?):

13(3)+(4)?12(2)2 13-(-3)+(-4)?12-(-2)-2

Video Solution

Solution Steps

00:10 Let's find the correct sign!
00:14 Remember, a negative times a negative gives a positive.
00:19 Let's open the parentheses.
00:22 Calculate one step at a time, from left to right.
00:26 A positive times a negative gives a negative.
00:30 Open the next set of parentheses.
00:33 Let's continue. Now we have the left side. Let's solve the right side.
00:38 Again, a negative times a negative results in a positive.
00:43 Open the parentheses here too.
00:45 Continue to calculate step by step.
00:49 Here's the result for the right side.
00:52 And that's the solution! Well done!

Step-by-Step Solution

Let's solve the left side first, remembering the following rules:

(x)=+x -(-x)=+x

+(x)=x +(-x)=-x

Now, let's rewrite the expression in the appropriate form:

13+34= 13+3-4=

Let's now solve the expression from left to right:

13+3=16 13+3=16

164=12 16-4=12

Next, we will solve the right-hand side, using the laws we covered earlier.

Let's now rewrite the expression in the appropriate form:

12+22= 12+2-2=

Now, we can solve the expression from left to right:

12+2=14 12+2=14

142=12 14-2=12

Since both sides are equal, the appropriate sign is:

12=12 12=12

Answer

= =