Numbers - Standard Form, Scientific and Engineering Notation

Calculator and reference tool for converting between standard form, scientific notation, and engineering notation. Perform calculations and conversions including multiplication, division, addition, and subtraction of numbers in scientific and engineering notation.

Scientific and Engineering Notation Converter

Standard Form or Scientific Notation

A number written with one digit to the left of the decimal point and multiplied by 10 raised to some power.

Examples:

43712 = 4.3712×10⁴
0.036 = 3.6×10⁻²

Engineering Notation

Similar to scientific notation except the power of ten is always a multiple of 3.

Examples:

43712 = 43.712×10³ = 0.043712×10⁶
0.036 = 36×10⁻³ = 36000×10⁻⁶

Calculator

Inputs

Number

Operation

Results

Result--

Calculator

Inputs

First Number (Mantissa)

First Number (Exponent)

Second Number (Mantissa)

Second Number (Exponent)

Results

Result Mantissa--

Result Exponent--

Calculator

Inputs

Numerator (Mantissa)

Numerator (Exponent)

Denominator (Mantissa)

Denominator (Exponent)

Results

Result Mantissa--

Result Exponent--

Key Formulas

Multiplication: N₁ × 10ˣ × N₂ × 10ʸ = (N₁ × N₂) × 10^(x+y)

Division: N₁ × 10ˣ ÷ N₂ × 10ʸ = (N₁ ÷ N₂) × 10^(x-y)

For Addition/Subtraction: Convert to the same exponent first, then add/subtract the mantissas.

Numbers - Standard Form, Scientific and Engineering Notation | MEPKit Engineering Tools | MEPKit