384 400 In Scientific Notation

Scientific Annotation Converter

Share this Answer Link: help
Paste this link in email, text or social media.

Computer Utilize

Catechumen a number to and from scientific notation, e note, engineering notation, standard grade, and existent numbers. Enter a number or a decimal number or scientific notation and the figurer converts to scientific notation, e notation, engineering notation, standard class and give-and-take form formats.

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.

Society of magnitude will besides be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth ability of 10. For example, 3.4 x 10^v has an social club of magnitude of 5 since 10 is raised to the 5th power.

How to Catechumen a Number to Scientific Annotation

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 10 or, 1 ≤ |a| < 10. b is the ability of 10 required so that the scientific annotation is mathematically equivalent to the original number.

Movement the decimal point in your number until in that location is but one not-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places yous moved the decimal point. This number is b.
If yous moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If y'all did not demand to move the decimal b = 0.
Write your scientific notation number as a ten 10^b and read it every bit "a times x to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal bespeak.

Example: Convert 357,096 to Scientific Notation

Move the decimal five places to the left to get 3.57096
a = 3.57096
We moved the decimal to the left and then b is positive
b = 5
The number 357,096 converted to scientific annotation is iii.57096 10 10^5

Case: Catechumen 0.005600 to Scientific Notation

Move the decimal three places to the right and remove leading zeros to become 5.600
a = 5.600
We moved the decimal to the correct so b is negative
b = -three
The number 0.005600 converted to scientific notation is v.600 x 10^-3
Note that we practise not remove the trailing 0's considering they were originally to the right of the decimal and are therefore significant figures.

E note is basically the aforementioned every bit scientific annotation except that the letter e is substituted for "10 ten^".

Notation Equivalents

357096

3.57096 x 10^5

3.57096e5

3.57096 x 10^5

124.7

1.247 x 10^2

1.247e2

1.247 x ten^two

0.005600

v.600 x 10^-3

5.600e-3

5.600 x 10^-iii

0.00098

9.8 x ten^-four

9.8e-4

ix.8 x ten^-4

Convert Scientific Notation to a Real Number

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

3.456 10 ten^iv = 3.456 x 10,000 = 34560

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

Boosted Resource

See the Scientific Note Calculator to add together, subtract, multiply and divide numbers in scientific notation or Due east notation.

To round significant figures use the Significant Figures Calculator.

To run into how standard course is like to scientific notation visit Standard Form Calculator.

If you need a scientific calculator come across our resources on scientific calculators.

Follow CalculatorSoup: