Work out scientific notation multiplication instantly with clear inputs, formula shown and shareable results.
Multiplying in standard form is easy: multiply the mantissas and add the exponents, then renormalise the mantissa back into the range 1 to 10.
Multiplying standard form
(a×10ⁿ)(b×10ᵐ) = ab × 10^(n+m), then renormalise
10 × 10⁵ = 1 × 10⁶, that is 1000000.
The mantissa product can reach up to 100, so shifting a power of ten keeps the answer in proper standard form.