Algebra I : Semester II : Polynomials

Sections:

Introduction  |   Section 1  |   Section 2  |   Section 3  |  Section 4  |  Section 5  |  Section 6

  Section One

Part 1  |   Part 2   |  Part 3

Algebra 1: Section 1: Polynomials

From Scientific Notation to Standard Notation

stacked bars of chocolate

Chocolate sales totaled $3.01 x 108 in 2004. What is this in standard notation?

108 = 100,000,000
$3.01 x 100,000,000 = $301,000,000.
In other words, chocolate sales were $301 million in 2004.

An alternate method would be to recognize that 108 indicates eight place values. So, move the decimal eight places to the right, adding zeros and commas as needed.

2

Basically, you perform all of the steps backwards that you learned on the previous page.

3 To Write Scientific Notation in Standard Notation

  • Determine whether the exponent of 10 is greater than zero or less than zero.
  • If the exponent is greater than zero, move the decimal point to the right the same number of places as the exponent, adding as many zeros as you need for placeholders. Add commas, as needed, to indicate place value.
  • If the exponent is less than zero, move the decimal point to the left the same number of places as the exponent, adding as many zeros as you need for placeholders.

Example 1: Scientific Notation to Standard Notation
Change each to standard notation.

  1. 6.03 x 106
  2. solution

  1. 5.3 x 10-4
  2. solution

6  Practice

Rewrite the following in scientific notation.

1. 65,000 = solution

2. 408 =

solution

3. 0.003 =

solution

4. 0.5 =

solution

5. 3,050,000 =

solution

Rewrite the following in standard notation.

1. 3.21 x 103 = solution

2. 5.891 x 10-5 =

solution

3. 1.7 x 108 =

solution

4. 8.07 x 10-1 =

solution

5. 3.050 x 106 =

solution

Now go on to the next partNext

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