Solve the Expression: Finding 87-(7+0) Using Order of Operations

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

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Parentheses always come first, no matter where they appear in the expression!

Q: What if there are multiple sets of parentheses?

Work from the innermost parentheses outward. If you see something like $ 5 - (3 + (2 + 1)) $, start with $ (2 + 1) = 3 $ first.

Q: Does 7 + 0 really need to be calculated first?

Yes! Even though $ 7 + 0 = 7 $ seems obvious, the parentheses tell us this must be done first. It's good practice to always follow the order correctly.

Q: What happens if I forget the parentheses?

You might get the wrong answer! Without parentheses, $ 87 - 7 + 0 = 80 $ gives the same result here, but in other problems like $ 10 - (3 + 2) $ vs $ 10 - 3 + 2 $, you'd get different answers.

Q: How do I remember the order of operations?

Use the acronym PEMDAS: Please Excuse My Dear Aunt Sally. This reminds you that Parentheses come first, then Exponents, then Multiplication/Division, then Addition/Subtraction.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve this math problem together!

00:07 Remember: opening parentheses, with minus times plus, always equal minus.

00:14 We'll apply this rule in our exercise.

00:17 Work through the operations, from left to right.

00:21 And there you have it, that's our solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$87-(7+0)=$

2

Step-by-step solution

To solve this problem, we will follow these steps to evaluate the expression $87 - (7 + 0)$ .

Step 1: Start by evaluating the expression inside the bracket:

$7 + 0 = 7$

Step 2: Substitute the value back into the original expression:

$87 - 7$

Step 3: Perform the subtraction:

$87 - 7 = 80$

Therefore, the solution to the problem is $80$ .

3

Final Answer

80

Key Points to Remember

Essential concepts to master this topic

Parentheses First: Always evaluate expressions inside parentheses before other operations
Technique: Calculate $7 + 0 = 7$ first, then subtract from 87
Check: Verify $87 - (7 + 0) = 87 - 7 = 80$ ✓

Common Mistakes

Avoid these frequent errors

Ignoring parentheses and calculating left to right
Don't calculate 87 - 7 + 0 = 80! This ignores the parentheses and changes the expression completely. The parentheses group 7 + 0 together first. Always evaluate what's inside parentheses before doing 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 go from left to right like reading?

+

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Parentheses always come first, no matter where they appear in the expression!

What if there are multiple sets of parentheses?

+

Work from the innermost parentheses outward. If you see something like $5 - (3 + (2 + 1))$ , start with $(2 + 1) = 3$ first.

Does 7 + 0 really need to be calculated first?

+

Yes! Even though $7 + 0 = 7$ seems obvious, the parentheses tell us this must be done first. It's good practice to always follow the order correctly.

What happens if I forget the parentheses?

+

You might get the wrong answer! Without parentheses, $87 - 7 + 0 = 80$ gives the same result here, but in other problems like $10 - (3 + 2)$ vs $10 - 3 + 2$ , you'd get different answers.

How do I remember the order of operations?

+

Use the acronym PEMDAS: Please Excuse My Dear Aunt Sally. This reminds you that Parentheses come first, then Exponents, then Multiplication/Division, then Addition/Subtraction.

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Solve the Expression: Finding 87-(7+0) Using Order of Operations

Order of Operations with Parentheses

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