← All Calculators

Scientific Notation Calculator

Convert numbers between decimal and scientific notation.

Scientific notation formulas

Forma × 10n, 1 ≤ |a| < 10
Multiply(a × 10m)(b × 10n) = ab × 10m+n
Dividea × 10mb × 10n = ab × 10m−n
Add / subtractRewrite with the same power of 10 first

Worked examples

  1. Write 93,000,000 and 0.0000452 in scientific notation.

    1. 93,000,000: move the decimal 7 places left
    2. 0.0000452: move the decimal 5 places right

    Answer: 9.3 × 10⁷ and 4.52 × 10⁻⁵

  2. Multiply (3 × 10⁴)(5 × 10⁶).

    1. 3 × 5 = 15, 104+6 = 1010
    2. 15 × 1010 → renormalize

    Answer: 1.5 × 10¹¹

  3. Divide (6.4 × 10⁵) ÷ (1.6 × 10⁻²).

    1. 6.4 ÷ 1.6 = 4
    2. 105 − (−2) = 107

    Answer: 4 × 10⁷

Tips & common mistakes

  • Moving the decimal left makes the exponent bigger; moving it right makes it smaller.