Solve 19-(5+11): Order of Operations Practice with Parentheses

Q: Why can't I just solve from left to right?

The order of operations (PEMDAS) requires parentheses first! Going left to right ignores this rule and gives wrong answers. Always handle parentheses before subtraction.

Q: What if there are multiple sets of parentheses?

Solve each set of parentheses separately first, then work with the results. Always complete what's inside parentheses before moving to other operations.

Q: Do I need to rewrite the problem after solving parentheses?

Yes! After calculating $ 5 + 11 = 16 $, rewrite as $ 19 - 16 $. This helps you see the simplified problem clearly.

Q: How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. For this problem, parentheses come first!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 When opening parentheses, minus times plus always equals minus

00:09 We will use this formula in our exercise

00:15 We will solve according to the order of operations from left to right

00:19 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

$19-(5+11)=$

2

Step-by-step solution

To solve the problem $19 - (5 + 11)$ , we will follow these steps:

Step 1: Evaluate the expression inside the parentheses. This means we need to calculate $5 + 11$ .
Step 2: Once the sum inside the parentheses is found, subtract this sum from 19.

Let's work through each step:

Step 1: Calculate $5 + 11$ which equals 16.

Step 2: Substitute 16 in place of $5 + 11$ in the original expression. You have $19 - 16$ .

Now, solve $19 - 16$ , which equals 3.

Therefore, the solution to the problem is $3$ .

3

Final Answer

3

Key Points to Remember

Essential concepts to master this topic

Rule: Always solve expressions inside parentheses first
Technique: Calculate $5 + 11 = 16$ , then subtract from 19
Check: Substitute back: $19 - 16 = 3$ ✓

Common Mistakes

Avoid these frequent errors

Solving left to right without parentheses priority
Don't solve 19 - 5 = 14 first, then add 11 = 25! This ignores parentheses rules and gives completely wrong answers. Always solve what's inside parentheses before any other operations.

Practice Quiz

Test your knowledge with interactive questions

$$ 100-(5+55)= $$

FAQ

Everything you need to know about this question

Why can't I just solve from left to right?

+

The order of operations (PEMDAS) requires parentheses first! Going left to right ignores this rule and gives wrong answers. Always handle parentheses before subtraction.

What if there are multiple sets of parentheses?

+

Solve each set of parentheses separately first, then work with the results. Always complete what's inside parentheses before moving to other operations.

Do I need to rewrite the problem after solving parentheses?

+

Yes! After calculating $5 + 11 = 16$ , rewrite as $19 - 16$ . This helps you see the simplified problem clearly.

How do I remember the order of operations?

+

Use PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. For this problem, parentheses come first!

What if I get a negative answer?

+

Negative answers are possible! If the number being subtracted is larger than the first number, you'll get a negative result. Just be careful with your parentheses calculations first.

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Solve 19-(5+11): Order of Operations Practice with Parentheses

Order of Operations with Subtraction

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