- 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
Power of 10: Positive Exponent
In this lesson, we deal with problems involving expressions with 10 as base having positive exponents.
Rules to find the positive exponent of 10
Suppose we have an expression having 10n.
In normal course the value of 10n is found by multiplying the base
10 'n' times.We also use a shortcut to solve such problem. We look at the exponent and then write a 1 followed by as many zeros as the exponent.
Evaluate 106
Solution
Step 1:
Here we have an expression involving power of ten with a positive exponent.
The base is 10 and the exponent is 6.
Step 2:
In normal course the value of 106 can be found by multiplying the base 10 six times.
106 = 10 × 10 × 10 × 10 × 10 × 10
Step 3:
Using a shortcut, we look at the exponent and then write a 1 followed by as many zeros as the number in the exponent. Since the exponent is a 6, we write a 1 followed by six zeros.
So 106 = 1,000,000
Solution
Step 1:
Here we have an expression involving power of ten with a positive exponent.
The base is 10 and the exponent is 9.
Step 2:
In normal course the value of 109 can be found by multiplying the base 10 nine times.
109 = 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Step 3:
Using a shortcut, we look at the exponent and then write a 1 followed by as many zeros as the exponent. Since the exponent is 9, we write a 1 followed by nine zeros.
So 109 = 1,000,000,000
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