Calculadora de Notacao Cientifica

Use esta calculadora de notacao cientifica para calcular, converter, comparar e formatar numeros escritos em scientific notation, E notation, engineering notation ou forma decimal padrao.

Calculadora com etapasSaida scientific, E e engineeringConversao para forma padrao

Scientific Notation Calculator

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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What is a Scientific Notation Calculator?

A scientific notation calculator lets you enter very large or very small values, perform arithmetic, and read the result in scientific notation, E notation, engineering notation, and decimal form from one screen.

Example Calculations

These examples show how the calculator handles standard numbers, scientific notation, and E notation without forcing manual conversion first.

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. This makes large and small values easier to read, compare, and calculate.

E Notation

E notation replaces x 10^n with the letter e. It is useful for software fields, calculators, and quick typed input.

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.

Additional Resources

This page covers the main calculator intents: solve, convert, compare, divide, multiply, and review significant figures in one workflow.

The content is organized around direct user intent: what scientific notation is, how the calculator works, how to convert notation, and how precision affects the result.

How to Use Scientific Notation Calculator

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, decimal output, 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, and 1.225e5 + 3.655e3.

Popular Problems

Popular problems include standard-form conversion, negative exponents, scientific notation comparison, multiplication, division, and significant-figure checks.

Regras da notacao cientifica

Cada secao cobre uma tarefa diferente para separar uso, conversao, calculo e precisao.

Como usar a calculadora de notacao cientifica

Digite os valores em decimal, scientific notation ou E notation, escolha a operacao e leia a resposta formatada.

Formato de entradaRegraExemploResultado
Decimal comumDigite o numero completo3690003.69 x 10^5
E notationUse e para potencias de dez6.022e236.022 x 10^23

Notacao cientifica para forma padrao

Mova a virgula para a direita com expoente positivo e para a esquerda com expoente negativo.

DirecaoRegraExemploResultado
Expoente positivoMova a virgula para a direita4.2 x 10^34200
Expoente negativoMova a virgula para a esquerda7.25 x 10^-50.0000725

Calculadora com E notation

E notation preserva o mesmo valor e substitui x 10^n por e para facilitar a digitacao.

FormatoRegraExemploResultado
Scientific para ESubstitua x 10^n por e1.26155 x 10^51.26155e5
E para scientificSubstitua e por x 10^n3.655e33.655 x 10^3

Multiplicacao e divisao

Multiplique os coeficientes e some os expoentes, ou divida os coeficientes e subtraia os expoentes.

OperacaoRegraExemploResultado
MultiplicarMultiplique os coeficientes e some os expoentes(2 x 10^3)(4 x 10^2)8 x 10^5
DividirDivida os coeficientes e subtraia os expoentes(8 x 10^5) / (2 x 10^2)4 x 10^3

Comparacao em notacao cientifica

Compare primeiro os expoentes. Se forem iguais, compare os significandos.

EtapaRegraExemploMaior valor
Expoentes diferentesO maior expoente vence4.1 x 10^7 vs 9.8 x 10^64.1 x 10^7
Mesmo expoenteCompare os significandos5.2 x 10^4 vs 4.9 x 10^45.2 x 10^4

Calculadora com algarismos significativos

Os algarismos significativos sao contados no significando, nao no expoente.

ValorRegraExemploAlgarismos
Zero final apos a virgulaConta como significativo4.70 x 10^33
ExpoenteNao altera a contagem6.2 x 10^-82

Notacao cientifica com expoentes negativos

Expoentes negativos representam valores abaixo de 1 e aparecem em decimais pequenos.

CasoRegraExemploResultado
Decimal para scientificMova a virgula para a direita e use expoente negativo0.0011 x 10^-3
Scientific para decimalMova a virgula para a esquerda6.3 x 10^-40.00063

Fluxo

Como cada resposta e preparada

Parse input
Apply operation
Normalize result
Format outputs

The calculator reads decimal values, E notation, and * 10^ expressions, applies the selected operation, normalizes the result, and returns scientific notation, engineering notation, and decimal output in one consistent flow.

Formatos aceitos

Digite os valores naturalmente

StyleExample
Scientific e6.022e23
Power of ten1.22 * 10^5
Unicode multiply3.4 x 10^-2
Plain decimal0.00056

Reference Library

Constantes cientificas comuns

Voltar à calculadora
Constant NameSymbolNotation ValueUnit
Speed of Lightc2.9979 x 10^8m/s
Gravitational ConstantG6.6743 x 10^-11m^3 kg^-1 s^-2
Avogadro's NumberN_A6.0221 x 10^23mol^-1

FAQ

Perguntas frequentes

What is a scientific notation calculator?

A scientific notation calculator is an online calculator that 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. The calculator accepts plain decimals, E notation, and x 10^ exponent format, then returns scientific notation, engineering notation, E notation, decimal output, 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 then 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?

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

Can scientific notation numbers be negative?

Yes, scientific notation numbers can be negative. A negative sign can appear before the significand, and the exponent itself 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 in scientific notation. A decimal such as 0.001 becomes 1 x 10^-3, and a decimal such as 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 alongside scientific notation and engineering notation. That decimal output is the standard-form or real-number version of the result.

Which scientific notation number is bigger?

Compare the exponents first. The number with the greater exponent is larger when both values are positive. If the exponents match, compare the significands. For negative values, compare the signs first and then the magnitudes.

What is engineering notation?

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

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

Yes, the calculator accepts inputs such as 1.2e5, 1.2 * 10^5, 0.001, and 6.4 x 10^-7. This makes it useful for conversion, comparison, and arithmetic across common calculator formats.

Are scientific calculators accurate for scientific notation?

Yes, scientific calculators are accurate for ordinary scientific notation arithmetic when the input is valid. The displayed result depends on the calculator's precision settings and the number of digits shown to the user.

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