Math

Engineering Notation Calculator

Convert a number to engineering notation (powers of 1000).

Calculated Output

Mantissa 47

Exponent (multiple of 3) 3

Engineering notation 47 × 10^3

Formula: n = mantissa × 10^(3k)

Step-by-Step Breakdown

1. Values used:

2. Number = 47,000

4. Mantissa = 47

5. Exponent (multiple of 3) = 3

6. Engineering notation = 47 × 10^3

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The math behind it

The exponent is rounded down to the nearest multiple of 3, so the mantissa lands between 1 and 1000 — aligning with kilo, mega, milli, etc.

47000 = 47 × 10³.

How does it differ from scientific notation?

Scientific keeps the mantissa between 1 and 10; engineering keeps the exponent a multiple of 3.