345 000 In Scientific Notation

Scientific Note Reckoner

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Calculator Use

Use this calculator to add, decrease, multiply and divide numbers in scientific notation, E notation or engineering notation. Answers are provided in three formats: scientific annotation, Due east notation and engineering notation. You can also do operations on whole numbers, integers, and decimal numbers and get answers in scientific annotation.

If you mark the check box the calculator automatically determines the number of significant figures in the reply. If yous do not marker the check box, answers may incorporate more than digits than are signficant.

Caution: See annotation regarding significant figures calculations.

Case Calculations

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

Standard Notation

Standard note is the usual way to write numbers, with or without commas and decimals. This case calculation solves the addition problem 122500 + 3655. Click on the link and and so refer to the figurer above. Notation that the inputs are standard notation numbers. The answers are formatted in scientific notation and E notation.

122500 + 3655 = 1.26155 x x⁵

Scientific Notation

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

i.225 × 10⁵ + three.655 × x^three = 1.26155 x 10⁵

E Notation

E notation is also known every bit exponential annotation. E note is the aforementioned as scientific notation where a decimal number betwixt 1 and 10 is multiplied by 10 raised to some power. In E notation the "times 10 raised to a ability" is replaced with the letter e in either capital letter or lowercase. The number subsequently the "eastward" indicates how many powers of 10. In this example calculation we're adding 1.225e5 and 3.655e3:

1.225e5 + three.655e3 = 1.26155e5

Note: Doing Math With Meaning Figures

There are some cases where you lot would not want to car-calculate pregnant figures. If your calculation involves a constant or an exact value as y'all might find in a formula, do not check the "motorcar-summate" box.

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

If you use this calculator for the calculation and you mark the "automobile-calculate" box, the calculator will read the ii equally one pregnant effigy. Your resulting calculation volition exist rounded from iv.70 to 5, which is clearly non the correct answer to the diameter calculation d=2r.

Yous can think of constants or exact values as having infinitely many significant figures, or at least as many significant figures as the least precise number in your adding. Use the advisable number of significant figures when you input exact values in this calculator. In this instance you would desire to enter 2.00 for the constant value so that information technology has the aforementioned number of pregnant figures as the radius entry. The resulting answer would be 4.70 which has iii significant figures.