Evaluate the Expression: Solving 2-(1+1) Step by Step

Q: Why do I have to do the parentheses first?

Parentheses have the highest priority in order of operations (PEMDAS/BODMAS). They tell you exactly which calculation to do first, like a mathematical instruction!

Q: What if I forget about the parentheses?

You'll get the wrong answer! Without parentheses, $ 2 - 1 + 1 = 2 $, but with them, $ 2 - (1 + 1) = 0 $. Always look for parentheses first!

Q: Can I remove the parentheses somehow?

Yes, but only after you calculate what's inside them! Once you know $ 1 + 1 = 2 $, you can rewrite the expression as $ 2 - 2 $.

Q: What if there are multiple sets of parentheses?

Work from the innermost parentheses outward. Calculate the deepest nested expressions first, then work your way out step by step.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve the problem step by step.

00:09 Remember, when you have minus times plus, the result is minus.

00:14 Now, apply this rule to our exercise.

00:18 Solve each part from left to right as per the order of operations.

00:23 Great job! That's how you solve the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$2-(1+1)=$

2

Step-by-step solution

To solve the expression $2 - (1 + 1)$ , follow these steps:

First, evaluate the expression inside the parentheses: $1 + 1$ .
This gives $2$ .
Now replace the parentheses with this result, transforming the expression to $2 - 2$ .
The result of $2 - 2$ is $0$ .

Therefore, the solution to the expression is $0$ .

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic

Rule: Always evaluate expressions inside parentheses first
Technique: Calculate $1 + 1 = 2$ before subtracting from 2
Check: Substitute back: $2 - 2 = 0$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Working left to right without respecting parentheses
Don't calculate 2 - 1 = 1 first and then add 1 = 2! This ignores the parentheses and gives the wrong answer. Always evaluate what's inside parentheses before doing any other operations.

Practice Quiz

Test your knowledge with interactive questions

$70:(14\times5)=$

FAQ

Everything you need to know about this question

Why do I have to do the parentheses first?

+

Parentheses have the highest priority in order of operations (PEMDAS/BODMAS). They tell you exactly which calculation to do first, like a mathematical instruction!

What if I forget about the parentheses?

+

You'll get the wrong answer! Without parentheses, $2 - 1 + 1 = 2$ , but with them, $2 - (1 + 1) = 0$ . Always look for parentheses first!

Can I remove the parentheses somehow?

+

Yes, but only after you calculate what's inside them! Once you know $1 + 1 = 2$ , you can rewrite the expression as $2 - 2$ .

What if there are multiple sets of parentheses?

+

Work from the innermost parentheses outward. Calculate the deepest nested expressions first, then work your way out step by step.

Is this the same as PEMDAS?

+

Exactly! The P in PEMDAS stands for Parentheses, which always comes first. This problem is a perfect example of why parentheses are so important in mathematics.

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Evaluate the Expression: Solving 2-(1+1) Step by Step

Order of Operations with Parentheses

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