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Worksheets and How To Multiply/Divide in Scientific Notation

(Start with How to Do Scientific Notation or go to worksheets)

To multiply two numbers in scientific notation:

  1. Re-arrange the expression so you can multiply the coefficients and powers-of-ten separately.
  2. Resolve the two multiplication expressions. Multiply the powers-of-ten expressions by adding their exponents.
  3. Multiply the separated expressions back together.
  4. Reformat the result so it has only one non-zero digit to the left of the decimal point.
Example 1: Multiply numbers in superscript format 1.3x102 x 4.5x10-3
= (1.3 x 4.5) x (102 x 10-3)
= 5.85x10-1
Example 2: Multiply numbers in E format 9.9E-3 x 2.2E+5
= (9.9 x 2.2) x (E-3 x E+5)
= 21.78E+2
= 2.178E+3

To divide two numbers in scientific notation:

  1. Re-arrange the expression so you can divide the coefficients and powers-of-ten separately.
  2. Resolve the two division expressions. Divide the powers-of-ten expressions by subtracting the divisor's exponent from the dividend's exponent.
  3. Multiply the separated expressions back together.
  4. Reformat the result so it has only one non-zero digit to the left of the decimal point.
Example 1: Divide numbers in superscript format 1.2x102 / 4.0x10-3
= (1.2 / 4.0) x (102 / 10-3)
= 0.3x105
= 3.0x104
Example 2: Divide numbers in E format 1.32E-3 / 1.2E+1
= (1.32 / 1.2) x (E-3 / E+1)
= 1.1E-4





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Change exercise type / format:

Multiplication / Division:
Multiply numbers in scientific notation
Divide numbers in scientific notation


Range of Numbers:
Large numbers (with positive exponents)
Small numbers (with negative exponents)
Include negative numbers


Equation layout:
Example
Horizontal
1.23 x 102 x 6.78 x 103 = ____
Vertical
1.2345 x 102
x 6.7890 x 103

Change worksheet format:

total equations in columns

Centered Title:

Left Subtitle:

Right Subtitle:




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