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Place values are the number of the base raised to the nth power, where n is the number of other digits between a given digit and the radix point. If a given digit is on the left hand side of the radix point (i.e. its value is an integer ) then n is positive or zero; if the digit is on the right hand side of the radix point (i.e., its value is ...
For example, "five tenths," is typically a measurement or tolerance of five ten-thousandths of an inch, and written as 0.0005 inches. "Three tenths," as another example, is written as 0.0003 inches. [9] Machining "to within a few tenths" is often considered very accurate, and at or near the extreme limit of tolerance capability in most contexts.
In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts. [1] For example, a hundredth of 675 is 6.75. In this manner it is used with the prefix "centi-" such as in centimeter.
A similar notation remains in common use as an underbar to superscript digits, especially for monetary values without a decimal separator, as in 99 95. Later, a "separatrix" (i.e., a short, roughly vertical ink stroke) between the units and tenths position became the norm among Arab mathematicians (e.g. 99 ˌ 95), while an L-shaped or vertical ...
The naming procedure for large numbers is based on taking the number n occurring in 10 3n+3 (short scale) or 10 6n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion. In this way, numbers up to 10 3·999+3 = 10 3000 (short scale) or 10 6·999 = 10 5994 (long scale) may be named.
For quantities created from measured quantities via addition and subtraction, the last significant figure position (e.g., hundreds, tens, ones, tenths, hundredths, and so forth) in the calculated result should be the same as the leftmost or largest digit position among the last significant figures of the measured quantities in the calculation ...
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