- Ordering Rounding and Order of Operations
- Home
- Introduction to Inequalities
- Comparing a Numerical Expression With a Number
- Ordering Large Numbers
- Rounding to Tens or Hundreds
- Rounding to Hundreds or Thousands
- Rounding to Thousands, Ten Thousand, or Hundred Thousand
- Estimating a Sum of Whole Numbers
- Estimating a Difference of Whole Numbers
- Estimating a Product of Whole Numbers
- Estimating a Quotient of Whole Numbers
- Writing Expressions Using Exponents
- Introduction to Exponents
- Power of 10: Positive Exponent
- Power of 10: Negative Exponent
- Introduction to Parentheses
- Comparing Numerical Expressions With Parentheses
- Introduction to Order of Operations
- Order of Operations With Whole Numbers
- Order of Operations With Whole Numbers and Grouping Symbols
- Order of Operations With Whole Numbers and Exponents: Basic
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
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Introduction to Order of Operations
When performing arithmetic operations, a set of rules are used in order to have clarity and avoid confusion. Mathematicians have come up with a standard order of operations for calculations involving more than one arithmetic operation. This order of operations is given by Parentheses, Exponent, Multiplication, Division, Addition and Multiplication (PEMDAS) Rule.
- So the first thing we do is evaluate expressions within parentheses.
- Next we evaluate terms with exponents.
- Then we multiply and divide working from left to right.
- Lastly we add and subtract working from left to right.
If any of the steps do not apply, we skip to next step in the order and proceed further.
Evaluate the following using the order of operations
1. 9 + 6 × 7
2. 24 ÷ 4 – 5
3. (21 - 9) × 5
Solution
Evaluate the following using the order of operations
1. 8 + 3 × 4
2. 21 ÷ 3 – 6
3. (25 - 8) × 7
Solution
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