科学表記計算機

この科学表記計算機では、scientific notation、E notation、engineering notation、通常の10進表記で書かれた数を計算、変換、比較、整形できます。

手順付き計算機scientific・E・engineering 出力標準形への変換

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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Related Calculators

Specialized tools for significant figures, exponents, roots, rounding, powers of ten, and equation solving.

科学的記数法コンバーター

1つの数値だけを変換したいですか?

加算、減算、乗算、除算を行わず、1つの値だけを別の表記へ書き換えたいときにこのコンバーターを使います。

コンバーターを開く

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.

科学表記のルール

各セクションは別の作業を説明するため、使い方、変換、計算、精度の内容が重ならない構成になっています。

科学表記計算機の使い方

値を decimal、scientific notation、E notation のいずれかで入力し、演算を選んで整形済みの結果を確認します。

入力形式ルール結果
通常の decimal数値をそのまま入力する3690003.69 x 10^5
E notation10 の累乗には e を使う6.022e236.022 x 10^23

科学表記から標準形へ

正の指数なら小数点を右へ、負の指数なら左へ動かして通常の値に戻します。

方向ルール結果
正の指数小数点を右へ移動4.2 x 10^34200
負の指数小数点を左へ移動7.25 x 10^-50.0000725

E notation を使う場合

E notation は同じ値を保ちながら x 10^n を e に置き換え、入力を簡単にします。

形式ルール結果
Scientific から Ex 10^n を e に置き換える1.26155 x 10^51.26155e5
E から scientifice を x 10^n に戻す3.655e33.655 x 10^3

乗算と除算

乗算では係数を掛け、指数を足します。除算では係数を割り、指数を引きます。

演算ルール結果
乗算係数を掛けて指数を足す(2 x 10^3)(4 x 10^2)8 x 10^5
除算係数を割って指数を引く(8 x 10^5) / (2 x 10^2)4 x 10^3

科学表記の大小比較

まず指数を比較し、同じなら significand を比較します。

比較手順ルール大きい値
指数が異なる指数が大きい方が大きい4.1 x 10^7 vs 9.8 x 10^64.1 x 10^7
指数が同じsignificand を比較する5.2 x 10^4 vs 4.9 x 10^45.2 x 10^4

有効数字付きの計算

有効数字は指数ではなく significand から数えます。

ルール有効数字
小数点後の末尾の 0有効として数える4.70 x 10^33
指数有効数字の数は変わらない6.2 x 10^-82

負の指数を含む科学表記

負の指数は 1 未満の値を表し、小さい decimal を変換するときによく使われます。

ケースルール結果
Decimal から scientific小数点を右へ動かし負の指数を付ける0.0011 x 10^-3
Scientific から decimal小数点を左へ動かす6.3 x 10^-40.00063

処理の流れ

答えがどのように作られるか

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.

対応形式

自然な形で値を入力

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

Reference Library

代表的な科学定数

計算機に戻る
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

よくある質問

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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