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Eliminate ambiguous or non-significant zeros by using Scientific Notation: For example, 1300 with three significant figures becomes 1.30 × 10 3. Likewise 0.0123 can be rewritten as 1.23 × 10 −2. The part of the representation that contains the significant figures (1.30 or 1.23) is known as the significand or mantissa.
Converting a number from scientific notation to decimal notation, first remove the × 10 n on the end, then shift the decimal separator n digits to the right (positive n) or left (negative n). The number 1.2304 × 10 6 would have its decimal separator shifted 6 digits to the right and become 1,230,400 , while −4.0321 × 10 −3 would have its ...
Engineering notation or engineering form (also technical notation) is a version of scientific notation in which the exponent of ten is always selected to be divisible by three to match the common metric prefixes, i.e. scientific notation that aligns with powers of a thousand, for example, 531×10 3 instead of 5.31×10 5 (but on calculator displays written without the ×10 to save space).
However, the names of all SI mass units are based on gram, rather than on kilogram; thus 10 3 kg is a megagram (10 6 g), not a *kilokilogram. The tonne (t) is an SI-compatible unit of mass equal to a megagram (Mg), or 10 3 kg. The unit is in common use for masses above about 10 3 kg and is often used with SI prefixes.
1 × 10 3 —in engineering notation, which for this number coincides with: 1 × 10 3 exactly—in scientific normalized exponential notation; 1 E+3 exactly—in scientific E notation. The SI prefix for a thousand units is "kilo-", abbreviated to "k"—for instance, a kilogram or "kg" is a thousand grams.
3 significant figures Approximating a large decimal integer using scientific notation: 300999999: 3.01 ... It was initially set at 1000.000 (three decimal places of ...
A reading of 8,000 m, with trailing zeros and no decimal point, is ambiguous; the trailing zeros may or may not be intended as significant figures. To avoid this ambiguity, the number could be represented in scientific notation: 8.0 × 10 3 m indicates that the first zero is significant (hence a margin of 50 m) while 8.000 × 10 3 m indicates ...
For a number written in scientific notation, this logarithmic rounding scale requires rounding up to the next power of ten when the multiplier is greater than the square root of ten (about 3.162). For example, the nearest order of magnitude for 1.7 × 10 8 is 8, whereas the nearest order of magnitude for 3.7 × 10 8 is 9.