12 Million In Scientific Notation

Scientific Notation Converter

Share this Answer Link: help
Paste this link in e-mail, text or social media.

Calculator Utilise

Convert a number to and from scientific notation, east notation, engineering annotation, standard form, and real numbers. Enter a number or a decimal number or scientific note and the calculator converts to scientific note, east notation, technology notation, standard grade and discussion form formats.

To enter a number in scientific notation use a carat ^ to signal the powers of 10. You tin also enter numbers in e notation. Examples: iii.45 x x^5 or three.45e5.

Order of magnitude will besides exist identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of x. For example, iii.4 ten x^5 has an order of magnitude of five since 10 is raised to the 5th ability.

How to Convert a Number to Scientific Annotation

The proper format for scientific notation is a ten x^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| < ten. b is the power of 10 required and then that the scientific notation is mathematically equivalent to the original number.

Motility the decimal point in your number until at that place is merely i non-zero digit to the left of the decimal betoken. The resulting decimal number is a.
Count how many places you moved the decimal signal. This number is b.
If you lot moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did non need to movement the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.

Example: Convert 357,096 to Scientific Note

Motility 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 = five
The number 357,096 converted to scientific notation is 3.57096 x 10^5

Example: Catechumen 0.005600 to Scientific Notation

Motion the decimal 3 places to the right and remove leading zeros to go v.600
a = five.600
We moved the decimal to the right so b is negative
b = -3
The number 0.005600 converted to scientific annotation is 5.600 ten x^-iii
Note that we do non remove the abaft 0'due south because they were originally to the right of the decimal and are therefore pregnant figures.

Eastward note is basically the aforementioned as scientific notation except that the letter e is substituted for "x 10^".

Annotation Equivalents

357096

iii.57096 ten 10^five

iii.57096e5

3.57096 ten ten^v

124.7

1.247 10 10^2

1.247e2

one.247 x 10^2

0.005600

5.600 x 10^-3

5.600e-3

v.600 ten x^-3

0.00098

nine.viii ten ten^-4

nine.8e-iv

9.8 10 10^-4

Convert Scientific Notation to a Existent Number

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

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

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

Additional Resources

Come across the Scientific Notation Calculator to add, subtract, multiply and split numbers in scientific notation or Eastward notation.

To circular significant figures use the Pregnant Figures Figurer.

To see how standard class is like to scientific annotation visit Standard Class Figurer.

If you demand a scientific calculator see our resource on scientific calculators.

Follow CalculatorSoup: