- 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

- Selected Reading
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# 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 10^{n}.

In normal course the value of 10

^{n}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 10^{6}

### 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 10^{6} can be found by multiplying the base 10 six times.

10^{6} = 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 10^{6} = 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 10^{9} can be found by multiplying the base 10 nine times.

10^{9} = 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 10^{9} = 1,000,000,000