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0.0000000543 → 5.43 × 10⁻⁸. 47,000 → 47 × 10³ in engineering form. Avogadro: 6.022 × 10²³. All three forms at once.
Chemistry and physics run on numbers too big and too small for commas: a mole is 6.022 × 10²³ particles, a proton is 1.673 × 10⁻²⁷ kg. This converter moves any number between scientific notation, engineering notation (exponents in multiples of 3, matched to SI prefixes), and plain decimal — pasting 5.43e-8, 0.0000000543, or 5.43×10^-8 all work.
Chem and physics students live here: 0.0000000543 → 5.43 × 10⁻⁸, with engineering notation (multiples of 10³) and plain decimal alongside.
Move the decimal point until exactly one non-zero digit sits before it, and count the moves — that count is the exponent. 0.0000000543: the point moves 8 places right → 5.43 × 10⁻⁸ (negative because the original was small). 47,000: the point moves 4 places left → 4.7 × 10⁴ (positive because the original was big). The rules that catch errors: scientific notation always has exactly one digit before the point (54.3 × 10⁻⁹ is engineering-ish, not scientific), the mantissa stays between 1 and 10, and leading zeros never count as significant. Quick check: the exponent tells you the order of magnitude — 10⁻⁸ means "hundred-millionths," 10⁴ means "tens of thousands."
Engineering notation restricts exponents to multiples of 3 so they map directly onto SI prefixes: 47,000 = 47 × 10³ = 47 kilo-anything, 0.0000012 = 1.2 × 10⁻⁶ = 1.2 micro. Electronics lives here — resistors are 4.7 kΩ, capacitors are 100 µF, frequencies are 2.4 GHz — because component values and datasheets all speak in kilo, mega, milli, and micro. The mental conversion becomes trivial: exponent +3 is kilo, +6 mega, +9 giga; −3 milli, −6 micro, −9 nano. Use scientific notation for pure math and homework; use engineering notation whenever the number will be read against real units. The calculator shows both so you never convert by hand.
They become unambiguous — which is half the point of the notation. 0.0000000543 has three significant figures (leading zeros are never significant), written cleanly as 5.43 × 10⁻⁸. The hard case in plain decimal: does 4,500 have two, three, or four sig figs? Impossible to tell. In scientific notation the ambiguity vanishes: 4.5 × 10³ (two), 4.50 × 10³ (three), 4.500 × 10³ (four) — trailing zeros after a decimal point ARE significant, and that final zero is a claim about measurement precision. Lab-report rule: your answer cannot carry more sig figs than your least precise input — multiplying 2.5 cm by 3.14159 gives 7.9, not 7.853975, because 2.5 only earned you two figures.