- 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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Introduction to Parentheses
In this lesson we evaluate numerical expressions involving parentheses. Parentheses are pairs of brackets used to enclose numerical expressions.To evaluate such expressions, we follow the order of operations for simppfication given by the Parentheses, Exponent, Multippcation, Division, Addition and Multippcation (PEMDAS) Rule.
According to this PEMDAS rule, the evaluation begins by simppfying the parentheses first.
Evaluate (6 + 4) ÷ 2
Solution
To evaluate the given numerical expression, we use PEMDAS rule
Step 1:
Simppfying the parentheses first.
(6 + 4) = 10.
Step 2:
Dividing
(6 + 4) ÷ 2 = 10 ÷ 2 = 5.
Step 3:
So (6 + 4) ÷ 2 = 5.
Evaluate 24 ÷ (9 − 3)
Solution
Step 1:
Simppfying the parentheses first.
(9 – 3) = 6
Step 2:
Dividing
So 24 ÷ (9 − 3) = 24 ÷ 6 = 4
Step 3:
So 24 ÷ (9 − 3) = 4