
- 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
Introduction to Exponents
am = a × a × a × a…m times.
The exponent of a number says how many times the number should be used in a multiplication. In above notation, 'm' is the exponent and the number (the base) is 'a' which is multiplied 'm' times
To evaluate an exponent,
- we write it in expanded form and multiply,
Example:
Evaluate 34
Solution
34 = 3 × 3 × 3 × 3 = 81.
Evaluate 26
Solution
Step 1:
26 means there are six 2s in the multiplication.
Step 2:
So 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
Evaluate 54
Solution
Step 1:
54 means there are four 5s in the multiplication.
Step 2:
So 54 = 5 × 5 × 5 × 5 = 625
Evaluate 73
Solution
Step 1:
73 means there are three 7s in the multiplication
Step 2:
So 73 = 7 × 7 × 7 = 343
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