Maths & numbers

Scientific notation calculator

Convert a signed decimal between scientific, engineering, E and expanded decimal notation.

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Convert a signed decimal between scientific, engineering, E and expanded decimal notation.

Worked example comparison
ExampleOutputWhat to notice
Worked exampleScientific notation4.7 × 10^-40.00047 equals 4.7 × 10^-4 in scientific notation and 470 × 10^-6 in engineering notation.
Negative large numberScientific notation-2.3 × 10^6The coefficient keeps the minus sign while the exponent records scale.

Check your understanding

Why does engineering notation use powers of three?

Grouping by thousands aligns with common engineering prefixes such as milli, micro and kilo.

What does the “Negative large number” setting illustrate?

The coefficient keeps the minus sign while the exponent records scale.

Behind the numbers

How this calculation works

For nonzero values, scientific notation moves the decimal point until the coefficient magnitude is at least one and below ten. Engineering notation shifts to the nearest lower multiple of three so the coefficient stays below one thousand.

THE FORMULAValue = coefficient × 10^exponent. Engineering notation uses an exponent divisible by three.

A worked example

0.00047 equals 4.7 × 10^-4 in scientific notation and 470 × 10^-6 in engineering notation.

Good to know

Trailing zeros are normalized. Add a separate measurement precision statement if significant figures carry experimental meaning.

How the inputs affect the result

A negative exponent changes scale, while a minus sign on the coefficient changes direction. An E notation entry such as -2e3 represents a negative value with a positive scale exponent.

The coefficient keeps the minus sign while the exponent records scale.

Where the calculation applies

Trailing zeros are normalized. Add a separate measurement precision statement if significant figures carry experimental meaning.

For a related calculation, see the Number rounding calculator.

A few questions, answered

Why does engineering notation use powers of three?

Grouping by thousands aligns with common engineering prefixes such as milli, micro and kilo.

What does the “Negative large number” setting illustrate?

The coefficient keeps the minus sign while the exponent records scale.

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