Solve Expression: 721-(300-76) Using Order of Operations

Q: Why can't I just work from left to right like in reading?

Mathematics has specific rules called the Order of Operations (PEMDAS). Parentheses always come first, no matter where they appear in the expression. This ensures everyone gets the same answer!

Q: What if there are multiple sets of parentheses?

Work from the innermost parentheses outward, one pair at a time. Always complete each set of parentheses before moving to the next operation.

Q: How do I remember to do parentheses first?

Think of parentheses as "do me first" signals. Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction - in that order!

Q: What's the difference between 721-(300-76) and 721-300-76?

Huge difference! $ 721-(300-76) = 497 $ but $ 721-300-76 = 345 $. The parentheses change which numbers get subtracted first.

Q: Can I check my answer a different way?

Yes! You can also think of it as adding the opposite: $ 721-(300-76) = 721 + 76 - 300 = 797 - 300 = 497 $

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

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

00:09 Let's use this formula in our exercise

00:15 Let's solve according to the order of operations from left to right

00:19 Let's use long subtraction, we'll substitute in our exercise

00:30 Let's use long addition

00:38 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

$721-(300-76)=$

2

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Evaluate the operation inside the parentheses.
Step 2: Perform the subtraction with the result from Step 1.

Let's work through each step in detail:

Step 1: Begin by evaluating the expression inside the parentheses:

$300 - 76 = 224$

Step 2: Now subtract this result from 721:

$721 - 224 = 497$

Therefore, the solution to the problem is $497$ .

3

Final Answer

497

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always solve expressions inside parentheses first
Technique: Calculate 300 - 76 = 224, then 721 - 224
Check: Verify by working backwards: 497 + 224 = 721 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without considering parentheses
Don't solve 721 - 300 = 421 first, then subtract 76 = 345! This ignores the parentheses which change the order completely. Always solve 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 can't I just work from left to right like in reading?

+

Mathematics has specific rules called the Order of Operations (PEMDAS). Parentheses always come first, no matter where they appear in the expression. This ensures everyone gets the same answer!

What if there are multiple sets of parentheses?

+

Work from the innermost parentheses outward, one pair at a time. Always complete each set of parentheses before moving to the next operation.

How do I remember to do parentheses first?

+

Think of parentheses as "do me first" signals. Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction - in that order!

What's the difference between 721-(300-76) and 721-300-76?

+

Huge difference! $721-(300-76) = 497$ but $721-300-76 = 345$ . The parentheses change which numbers get subtracted first.

Can I check my answer a different way?

+

Yes! You can also think of it as adding the opposite: $721-(300-76) = 721 + 76 - 300 = 797 - 300 = 497$

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Solve Expression: 721-(300-76) Using Order of Operations

Order of Operations with Nested Parentheses

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