Scientific to Standard Notation Worksheets

There are five sets of scientific notation worksheets:

• Scientific to Standard Notation
  
• Standard to Scientific Notation
  
• Multiply Scientific Numbers
  
• Divide Scientific Numbers
  
• Add & Subtract Scientific Numbers
  

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to convert from Scientific Notation to Standard Notation (Real Notation).

How to convert from Scientific Notation to Standard Notation?

There are three sets of converting from Scientific to Standard Notation worksheets.

• Scientific Notation to Standard Notation (positive exponents).
• Scientific Notation to Standard Notation (negative exponents)
• Scientific Notation to Standard Notation (positive & negative exponents).

These are the steps to convert a number from scientific notation to standard notation (real notation):

1. Identify the components of the scientific notation:

• The coefficient: It is a number between 1 and 10.
• The exponent: It represents the power of 10.
  

2. Multiply the coefficient by 10 raised to the power of the exponent. This will give you the decimal representation of the number. (We can also use the shortcut of moving the decimal point when multiplying by powers of 10. Move the decimal point the number of places according to the exponent. If the exponent is positive then move the decimal point to the right. If the exponent is negative then move the decimal point to the left)

Example: Convert 3.5 x 10⁴ to standard notation:
Coefficient: 3.5
Exponent: 4
Move the decimal point 4 places to the right.
So, 3.5 x 10⁴ in standard notation is 35000.

Example: Convert 6.73 x 10^-2 to standard notation:
Coefficient: 6.73 Exponent: -2 Move the decimal point 2 places to the left.
So, 6.73 x 10^-2 in standard notation is 0.0673.

Example:

 

Have a look at this video if you need to review how to convert from scientific form to standard notation (regular form).

• Writing a Number in Decimal Notation When Given in Scientific Notation

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Scientific Notation Worksheets.

 

More Scientific Notation Worksheets

Printable
(Answers on the second page.)
Scientific Notation Worksheet #1 (positive exponents)
Scientific Notation Worksheet #2 (negative exponents)
Scientific Notation Worksheet #3 (positive or negative exponents)

Multiply Decimals by Powers of 10 (eg. 3.2 × 10³=)

Online
Multiply by Powers of 10

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Scientific Notation Conversion

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