Scientific Notation Tutorial

Powers of 10 Notation

See the pattern below?

Decimal Number

"Broken down" into tens

Powers of ten form

 
100 10 X 10 102 (1 followed by 2 zeroes)
1000 10 X 10 X 10 103 (1 followed by 3 zeroes)
10,000 10 X 10 X 10 X 10 104 (1 followed by 4 zeroes)
100,000 10 X 10 X 10 X 10 X 10 105 (1 followed by 5 zeroes)
1,000,000 10 X 10 X 10 X 10 X 10 X 10 106 (1 followed by 6 zeroes)
1,000,000,000 10 X 10 X 10 X 10 X 10 X 10 X 10 X 10 X 10 109 (1 followed by 9 zeroes)

104 is read as "ten to the fourth power." In this case, 10 is the base, and 4 is the "exponent," indicating how many times we multiply the base by itself.

Notice also that the exponent is the number of zeroes after the 1 in the coresponding decimal number. Therefore, 1017 is 100,000,000,000,000,000 in decimal notation. Can you see now why we like to use scientific notation?

101 is a 1 followed by 1 zero, or simply 10. What is 100 ? Choose from the options below.

100 = 0

100 = 1

100 = 10

Questions? Ask the designer, Jim Heath

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