Ordering Rounding and Order of Operations
Selected Reading
- Order of Operations With Whole Numbers and Exponents: Basic
- Order of Operations With Whole Numbers and Grouping Symbols
- Order of Operations With Whole Numbers
- Introduction to Order of Operations
- Comparing Numerical Expressions With Parentheses
- Introduction to Parentheses
- Power of 10: Negative Exponent
- Power of 10: Positive Exponent
- Introduction to Exponents
- Writing Expressions Using Exponents
- Estimating a Quotient of Whole Numbers
- Estimating a Product of Whole Numbers
- Estimating a Difference of Whole Numbers
- Estimating a Sum of Whole Numbers
- Rounding to Thousands, Ten Thousand, or Hundred Thousand
- Rounding to Hundreds or Thousands
- Rounding to Tens or Hundreds
- Ordering Large Numbers
- Comparing a Numerical Expression With a Number
- Introduction to Inequalities
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Selected Reading
- Who is Who
- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
Introduction to Order of Operations
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, Multippcation, Division, Addition and Multippcation (PEMDAS) Rule.
So the first thing we do is evaluate expressions within parentheses.
Next we evaluate terms with exponents.
Then we multiply and spanide 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
