Solve 66-(15-10): Order of Operations Practice Problem

Order of Operations with Nested Parentheses

66(1510)= 66-(15-10)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:10 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

66(1510)= 66-(15-10)=

2

Step-by-step solution

According to the order of operations rules, we first solve the expression inside of the parentheses:

1510=5 15-10=5

We obtain the following expression:

665=61 66-5=61

3

Final Answer

61 61

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve expressions inside parentheses first
  • Technique: Calculate 15-10=5, then substitute into 66-5=61
  • Check: Work backwards: 61+5=66, and 66-(15-10)=66-5=61 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't calculate 66-15=51 first and then subtract 10 = wrong answer 41! This ignores the parentheses which must be solved first. Always solve what's inside parentheses before doing any other operations.

Practice Quiz

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\( 100-(30-21)= \)

FAQ

Everything you need to know about this question

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

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Mathematics has a specific order that must be followed! Parentheses always come first in PEMDAS, so (1510) (15-10) must be calculated before subtracting from 66.

What if there were no parentheses in this problem?

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Without parentheses, 661510 66-15-10 would equal 41 because we'd work left to right. The parentheses change the answer to 61!

How do I remember the order of operations?

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Use PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Some people remember it as "Please Excuse My Dear Aunt Sally!"

What if I have multiple sets of parentheses?

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Solve each set of parentheses first, from innermost to outermost if they're nested. Then follow the rest of PEMDAS for the remaining expression.

Can I check my answer a different way?

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Yes! You can substitute: if 66(1510)=61 66-(15-10)=61 is correct, then 61+(1510) 61+(15-10) should equal 66 66 . Let's see: 61+5=66 61+5=66

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