3x10 9 X 2x10 17
Scientific Notation Calculator
Calculator Use
Use this calculator to add, subtract, multiply and split up numbers in scientific notation, E note or engineering science notation. Answers are provided in three formats: scientific notation, East annotation and technology notation. You tin can also exercise operations on whole numbers, integers, and decimal numbers and go answers in scientific notation.
If you marking the check box the calculator automatically determines the number of significant figures in the answer. If you lot do not mark the check box, answers may incorporate more digits than are signficant.
Circumspection: See note regarding significant figures calculations.
Case Calculations
Apply the links beneath to load a sample calculation into the calculator. In each example the input forms are unlike, just they all produce the same answers in scientific notation and East notation.
Standard Notation
Standard notation is the usual manner to write numbers, with or without commas and decimals. This example adding solves the improver problem 122500 + 3655. Click on the link and so refer to the figurer above. Note that the inputs are standard note numbers. The answers are formatted in scientific notation and E note.
122500 + 3655 = 1.26155 ten 105
Scientific Notation
In scientific note a big number is converted to an equivalent decimal number betwixt 1 and x, multiplied by 10 raised to some power. Very small-scale numbers are converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some negative power. In this instance scientific notation calculation we're solving one.225 × xv + three.655 × 103:
1.225 × 105 + 3.655 × 103 = 1.26155 x tenfive
Eastward Notation
East notation is too known as exponential notation. E notation is the aforementioned as scientific notation where a decimal number betwixt one and 10 is multiplied past 10 raised to some ability. In Eastward notation the "times x raised to a power" is replaced with the letter due east in either uppercase or lowercase. The number after the "due east" indicates how many powers of ten. In this instance calculation nosotros're adding one.225e5 and 3.655e3:
ane.225e5 + 3.655e3 = ane.26155e5
Note: Doing Math With Significant Figures
There are some cases where y'all would not want to machine-calculate pregnant figures. If your calculation involves a constant or an verbal value as you might observe in a formula, exercise not cheque the "auto-summate" box.
For example, consider the formula for diameter of a circumvolve, d = 2r, where diameter is twice the length of the radius. If you mensurate a radius of 2.35, multiply by ii to find the bore of the circle: 2 * two.35 = 4.seventy
If you use this reckoner for the calculation and you mark the "car-calculate" box, the calculator will read the 2 equally i significant figure. Your resulting calculation will be rounded from 4.70 to 5, which is conspicuously not the correct answer to the diameter calculation d=2r.
Y'all tin can recollect of constants or exact values as having infinitely many pregnant figures, or at least as many significant figures equally the least precise number in your calculation. Use the advisable number of significant figures when you input verbal values in this calculator. In this example you would desire to enter 2.00 for the constant value and then that it has the same number of significant figures as the radius entry. The resulting answer would be 4.70 which has 3 significant figures.
Additional Resource
Meet our Rounding Significant Figures Calculator for more data on significant figures.
Run into the Scientific Notation Converter to convert a number into scientific annotation or Eastward annotation.
If y'all need a scientific calculator see our resources on scientific calculators.
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