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Calculator Use

  • Negative Exponents Express 0.006 57 in scientific notation. Each time the decimal place is moved one place to the right, the exponent is decreased by one. 0.006 57 0.006 57 100 0.0657 110 0.0657 10 1 2 0.657 10 0.657 10 2 6.57 10 3 6.57 10 3 Name Date Class Scientific NotationScientific Notation MATH HANDBOOK TRANSPARENCY MASTER Use with.
  • 1) Write 8,500 in scientific notation 2) Write.0085 in scientific notation 3) Write 5.09 104 in standard form 4) Write 3.9 10-4 in standard form 5) Write 2,830 000 in scientific notation 6) Write.00003088 in scientific notation 7) Write 2.74 106 in standard form 8) Write 1.83 10-2 in standard form Compare using. 11) 49 23,200 10-6 9) 105.
  • Scientists can work with very large and small numbers much more easily if they are written in scientific notation. How to Use Scientific Notation. In scientific notation, a number is written as the product of two numbers: a coefficient and 10 raised to a power. For example: The number 4,500 is written in scientific notation as 4.5.

Convert a number to and from scientific notation, e notation, engineering notation and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation and engineering notation formats.

Scientific Notation Calculator Scientific Notation Converter. Provide a number below to get its scientific notation, E-notation, engineering notation, and real number format. It accepts numbers in the following formats 3672.2, 2.3e11, or 3.5x10^-12. See full list on gigacalculator.com.

To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.

1.2 Scientific Notationmr. Mac

How to Convert a Number to Scientific Notation

The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

  1. Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
  2. Count how many places you moved the decimal point. This number is b.
  3. If you moved the decimal to the left b is positive.
    If you moved the decimal to the right b is negative.
    If you did not need to move the decimal b = 0.
  4. Write your scientific notation number as a x 10^b and read it as 'a times 10 to the power of b.'
  5. Remove trailing 0's only if they were originally to the left of the decimal point.

Example: Convert 357,096 to Scientific Notation

  • Move the decimal 5 places to the left to get 3.57096
  • a = 3.57096
  • We moved the decimal to the left so b is positive
  • b = 5
  • The number 357,096 converted to scientific notation is 3.57096 x 10^5

Example: Convert 0.005600 to Scientific Notation

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  • Move the decimal 3 places to the right and remove leading zeros to get 5.600
  • a = 5.600
  • We moved the decimal to the right so b is negative
  • b = -3
  • The number 0.005600 converted to scientific notation is 5.600 x 10^-3
  • Note that we do not remove the trailing 0's because they were originally to the right of the decimal and are therefore significant figures.
Mac

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1.2 Scientific Notationmr. Mac

E notation is basically the same as scientific notation except that the letter e is substituted for 'x 10^'.

Scientific Notation
3.57096 x 10^5
1.247 x 10^2
5.600 x 10^-3
1.2
9.8 x 10^-4

Convert Scientific Notation to a Real Number

Multiply the decimal number by 10 raised to the power indicated.

3.456 x 10^4 = 3.456 x 10,000 = 34560

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3.456 x 10^-4 = 3.456 x .0001 = 0.0003456

Additional Resources

See the Scientific Notation Calculator to add, subtract, multiply and divide numbers in scientific notation or E notation.

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1.2 Scientific Notationmr. Mac

To round significant figures use the Significant Figures Calculator.

If you need a scientific calculator see our resources on scientific calculators.