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- 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
Introduction to Order of Operations
Introduction
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.
Problem 1
Evaluate the following using the order of operations
1. 9 + 6 × 7
2. 24 ÷ 4 5
3. (21 - 9) × 5
Solution
Problem 2
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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