Scientific Notation Calculator

Use this scientific notation calculator for arithmetic and scientific notation conversion across scientific, E, engineering, and decimal forms.

Step-by-step scientific notationScientific, E, and engineering outputScientific notation conversion

Scientific Notation Calculator results

Ready

Input styles: 1.2e5, 1.2 * 10^5, 120000

E notation 4.875e5

Engineering notation 487.5 x 10^3 Prefix: kilo (k)

Decimal value 487500

Significant figures 4

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Scientific notation converter

Need the scientific notation converter instead?

Open the scientific notation converter for single-value scientific notation conversion without addition, subtraction, multiplication, or division. Searches for a significant notation converter usually point here too.

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What is a scientific notation calculator?

A scientific notation calculator lets you enter large or small values, do arithmetic, and read the result in scientific notation, E notation, engineering notation, and decimal form on one screen. Used that way, it is also a scientific notation converter calculator: you change formats and run operations in one place. Sci not calculator is a short name some people use for the same tool.

Example calculations

These examples show how the calculator handles ordinary numbers, scientific notation, and E notation without a separate conversion step.

Standard notation

Standard notation uses ordinary decimals such as 122500 + 3655. The calculator can rewrite the answer as 1.26155 x 10^5 and as the decimal 126155.

Scientific notation

Scientific notation writes a significand multiplied by a power of 10. That makes large and small values easier to read and compare.

E notation

E notation replaces x 10^n with the letter e. It is common in software fields and typed calculator input. Values like 1.0e+01 follow the same rule when you convert e+01 to number form.

Note: doing math with significant figures

Significant figures describe reported precision. Turn auto-calculate on when both inputs are measured values, and off when an exact constant is involved.

Converting scientific notation

Converting scientific notation here covers standard form, E notation, engineering notation, comparison, multiplication, division, and significant figures.

The sections below cover what scientific notation is, how this calculator works, and how scientific notation conversion is done. A search for significant notation converter usually means a scientific notation converter.

How to calculate in scientific notation

Step 1:

Enter one or two values in decimal form, scientific notation, or E notation. The calculator reads the significand and exponent before the operation starts.

Step 2:

Choose addition, subtraction, multiplication, or division, then calculate. The tool returns scientific notation, E notation, engineering notation, a decimal value, and the significant-figure count.

Examples

Common examples include 0.001, 369000, 741, 0.0000725, 1.225 x 10^5 + 3.655 x 10^3, 1.225e5 + 3.655e3, and convert e+01 to number as 1.0e+01 becoming 10.

Scientific notation conversion

Common scientific notation conversion tasks include standard-form output, negative exponents, comparison, multiplication, division, and significant-figure checks.

Scientific notation rules

These rules cover input, scientific notation conversion, arithmetic, comparison, and significant figures.

How to use the scientific notation calculator

Enter values in decimal, scientific notation, or E notation, choose the operation, and read the formatted answer. Related scientific notation calculators on this site handle sig figs, exponents, and powers of ten when you need a focused tool.

Input style	Rule	Example	Result
Standard decimal	Enter the full number directly	369000	3.69 x 10^5
E notation	Use e for powers of ten	6.022e23	6.022 x 10^23

Scientific notation conversion to standard form

Move the decimal right for a positive exponent and left for a negative exponent to get the ordinary decimal value.

Direction	Rule	Example	Result
Positive exponent	Move the decimal right	4.2 x 10^3	4200
Negative exponent	Move the decimal left	7.25 x 10^-5	0.0000725

Convert e+01 to number

E notation keeps the same value while replacing x 10^n with e n. To convert e+01 to number, treat +01 as exponent 1, so 1.0e+01 is 10 and 4.5e+01 is 45.

Format	Rule	Example	Result
Scientific to E	Replace x 10^n with e n	1.26155 x 10^5	1.26155e5
Convert e+01 to number	Move the decimal by the e exponent	1.0e+01	10
E to scientific	Replace e n with x 10^n	3.655e3	3.655 x 10^3

Scientific notation calculator multiplication and division

Multiply coefficients and add exponents, or divide coefficients and subtract exponents.

Operation	Rule	Example	Result
Multiply	Multiply coefficients and add exponents	(2 x 10^3)(4 x 10^2)	8 x 10^5
Divide	Divide coefficients and subtract exponents	(8 x 10^5) / (2 x 10^2)	4 x 10^3

Scientific notation comparison

Compare exponents first. If they match, compare the significands.

Comparison step	Rule	Example	Larger value
Different exponents	The greater exponent wins	4.1 x 10^7 vs 9.8 x 10^6	4.1 x 10^7
Same exponent	Compare significands	5.2 x 10^4 vs 4.9 x 10^4	5.2 x 10^4

Scientific notation calculator with sig figs

Significant figures are counted from the significand, not from the exponent.

Value	Rule	Example	Sig figs
Trailing zero after decimal	Counts as significant	4.70 x 10^3	3
Exponent	Does not change sig figs	6.2 x 10^-8	2

Scientific notation calculator with negative exponents

Negative exponents represent values below 1 and are common when converting small decimals.

Case	Rule	Example	Result
Decimal to scientific	Move right and use a negative exponent	0.001	1 x 10^-3
Scientific to decimal	Move left by the exponent count	6.3 x 10^-4	0.00063

How it works

How each answer is prepared

Parse input

Apply operation

Normalize result

Format outputs

The calculator reads decimals, E notation, and * 10^ expressions, runs the selected operation, normalizes the result, and returns scientific notation, engineering notation, and a decimal value.

Accepted formats

Type values naturally

Style	Example
Scientific e	6.022e23
Power of ten	1.22 * 10^5
Unicode multiply	3.4 x 10^-2
Plain decimal	0.00056

Reference

Common scientific constants

Back to calculator

Constant Name	Symbol	Notation Value	Unit
Speed of Light	c	2.9979 x 10^8	m/s
Gravitational Constant	G	6.6743 x 10^-11	m^3 kg^-1 s^-2
Avogadro's Number	N_A	6.0221 x 10^23	mol^-1

FAQ

Frequently asked questions

What is a scientific notation calculator?

A scientific notation calculator converts, compares, and solves numbers written in scientific notation, E notation, engineering notation, or standard decimal form.

How do I use this scientific notation calculator?

Enter the first value, choose an operation, enter the second value, and click Calculate. It accepts plain decimals, E notation, and x 10^ format, then returns scientific notation, engineering notation, E notation, a decimal value, and significant figures.

How do I divide scientific notation numbers with the calculator?

Choose Division, enter both values in scientific notation, E notation, or decimal form, and run the calculation. The calculator divides the coefficients, subtracts the exponents, and rewrites the result in normalized scientific notation, engineering notation, and decimal form.

How are significant figures counted in scientific notation?

Significant figures are counted from the digits in the significand, not from the exponent. In 4.70 x 10^3, the value has 3 significant figures because the significand 4.70 has 3 significant digits.

What is normalized scientific notation?

In normalized scientific notation, the significand is at least 1 and less than 10 in absolute value. A value such as 36.5 x 10^4 is valid, but the normalized form is 3.65 x 10^5.

Can scientific notation numbers be negative?

Yes. A negative sign can appear before the significand, and the exponent can be positive or negative depending on the size of the number.

Can scientific notation be below 1 or written as a decimal?

Yes. Values below 1 are common. A decimal such as 0.001 becomes 1 x 10^-3, and 0.0000725 becomes 7.25 x 10^-5.

Can I convert scientific notation to standard form or a real number?

Yes. The calculator returns a decimal output next to scientific notation and engineering notation. That decimal is the standard-form or real-number version of the result.

Which scientific notation number is bigger?

Compare the exponents first. For two positive values, the greater exponent wins. If the exponents match, compare the significands. For negative values, compare the signs first, then the magnitudes.

What is engineering notation?

Engineering notation is scientific notation that uses exponents in multiples of three. That matches common SI prefix groupings such as kilo, mega, milli, and micro.

Can I enter E notation, decimals, or negative exponents?

Yes. Inputs such as 1.2e5, 1.2 * 10^5, 0.001, and 6.4 x 10^-7 all work for conversion, comparison, and arithmetic. To convert e+01 to number, enter 1.0e+01 and read the decimal output 10.

How do I calculate in scientific notation on this page?

Enter each value in scientific notation, E notation, or decimal form, pick the operation, and click Calculate. That is how to calculate in scientific notation here: the scientific notation calculator returns scientific, E, engineering, and decimal results together.

Are scientific calculators accurate for scientific notation?

Yes, for ordinary scientific notation arithmetic when the input is valid. The displayed result depends on the calculator's precision settings and how many digits it shows.