47 000 In Scientific Notation

Scientific Notation Figurer

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

Computer Use

Utilize this calculator to add, subtract, multiply and divide numbers in scientific notation, E notation or engineering science annotation. Answers are provided in three formats: scientific note, E note and applied science notation. You tin can besides practice operations on whole numbers, integers, and decimal numbers and get answers in scientific notation.

If you mark the cheque box the reckoner automatically determines the number of significant figures in the respond. If you do not mark the check box, answers may contain more digits than are signficant.

Caution: Run into note regarding significant figures calculations.

Case Calculations

Use the links below to load a sample calculation into the calculator. In each example the input forms are different, but they all produce the same answers in scientific notation and Due east notation.

Standard Notation

Standard note is the usual way to write numbers, with or without commas and decimals. This example calculation solves the add-on problem 122500 + 3655. Click on the link and and then refer to the calculator higher up. Note that the inputs are standard notation numbers. The answers are formatted in scientific notation and Due east notation.

122500 + 3655 = 1.26155 ten 10^v

Scientific Note

In scientific notation a large number is converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some ability. Very minor numbers are converted to an equivalent decimal number between 1 and ten, multiplied by ten raised to some negative power. In this example scientific notation calculation we're solving 1.225 × 10⁵ + 3.655 × 10³:

1.225 × ten^five + 3.655 × 10³ = 1.26155 x ten⁵

E Notation

Due east notation is as well known every bit exponential note. E notation is the same as scientific notation where a decimal number between 1 and 10 is multiplied by x raised to some power. In E notation the "times 10 raised to a power" is replaced with the letter due east in either uppercase or lowercase. The number subsequently the "e" indicates how many powers of 10. In this instance adding we're adding 1.225e5 and iii.655e3:

1.225e5 + 3.655e3 = 1.26155e5

Note: Doing Math With Significant Figures

In that location are some cases where you would not want to auto-calculate significant figures. If your adding involves a constant or an exact value as you might find in a formula, practise non check the "auto-calculate" box.

For example, consider the formula for diameter of a circumvolve, d = 2r, where diameter is twice the length of the radius. If you measure a radius of 2.35, multiply by 2 to find the diameter of the circle: ii * ii.35 = four.seventy

If yous use this figurer for the calculation and y'all mark the "car-calculate" box, the reckoner volition read the 2 as ane significant figure. Your resulting adding volition exist rounded from 4.seventy to 5, which is clearly non the correct answer to the diameter calculation d=2r.

Yous tin can remember of constants or verbal values equally having infinitely many significant figures, or at to the lowest degree as many meaning figures as the least precise number in your calculation. Use the advisable number of significant figures when you input exact values in this calculator. In this example y'all would want to enter two.00 for the constant value and so that it has the same number of significant figures as the radius entry. The resulting answer would be 4.seventy which has 3 pregnant figures.

Boosted Resources

See our Rounding Significant Figures Calculator for more information on meaning figures.

See the Scientific Note Converter to catechumen a number into scientific notation or East notation.

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

Follow CalculatorSoup: