Solve the Expression: 15-(-5)+1?1 with Missing Number

Double Negative Simplification with Comparison Operators

15−(−5)+1?1 15-(-5)+1?1

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00:00 Choose the correct symbol

Step-by-step written solution

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1

Understand the problem

15−(−5)+1?1 15-(-5)+1?1

2

Step-by-step solution

Making use of the following rule:

−(−x)=+ -(-x)=+

Let's rewrite the given exercise in its proper form:

15+(5)+1= 15+(5)+1=

And solve accordingly:

20+1=21 20+1=21

Since 21 is greater than 1, the appropriate sign is:

21>1 21 > 1

3

Final Answer

> >

Key Points to Remember

Essential concepts to master this topic
  • Double Negative Rule: Subtracting a negative number equals addition
  • Technique: Transform 15-(-5) into 15+5 = 20, then add 1
  • Check: Verify 21 > 1 by comparing final result to given number ✓

Common Mistakes

Avoid these frequent errors
  • Treating double negatives as subtraction
    Don't compute 15-(-5) as 15-5 = 10! This ignores the negative sign rule and gives 11 instead of 21. Always remember that subtracting a negative number means adding the positive version.

Practice Quiz

Test your knowledge with interactive questions

Solve the following expression:

\( (+8)+(+12)=\text{ ?} \)

FAQ

Everything you need to know about this question

Why does minus a negative become plus?

+

Think of it as removing a debt! If you owe someone -$5 (meaning they owe YOU $5), and that debt is removed, you gain $5. So −(−5)=+5 -(-5) = +5 .

How do I remember the double negative rule?

+

Use the phrase "two negatives make a positive"! When you see −(−x) -(-x) , the signs cancel out to become +x +x .

What does the question mark mean in 1?1?

+

The question mark represents a comparison operator you need to find. Compare your calculated result (21) with 1 to determine if it should be >, =, or <.

How do I know which comparison sign to use?

+

Calculate the left side completely first: 15−(−5)+1=21 15-(-5)+1 = 21 . Then compare: since 21 is bigger than 1, use the greater than symbol (>).

Can I work from left to right with these operations?

+

Yes! Addition and subtraction have the same priority, so work left to right: first handle 15−(−5)=20 15-(-5) = 20 , then 20+1=21 20+1 = 21 .

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