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the long scale — designates a system of numeric names formerly used in British English, but now obsolete, in which a billion is used for a million million (and similarly, with trillion, quadrillion etc., the prefix denoting the power of a million); and a thousand million is sometimes called a milliard. This system is still used in several ...
If necessary, simplify the long division problem by moving the decimals of the divisor and dividend by the same number of decimal places, to the right (or to the left), so that the decimal of the divisor is to the right of the last digit. When doing long division, keep the numbers lined up straight from top to bottom under the tableau.
The use of thin spaces as separators, [30]: 133 not dots or commas (for example: 20 000 and 1 000 000 for "twenty thousand" and "one million"), has been official policy of the International Bureau of Weights and Measures since 1948 (and reaffirmed in 2003) stating "neither dots nor commas are ever inserted in the spaces between groups", [26]
To put in perspective the size of a googol, the mass of an electron, just under 10 −30 kg, can be compared to the mass of the visible universe, estimated at between 10 50 and 10 60 kg. [5] It is a ratio in the order of about 10 80 to 10 90 , or at most one ten-billionth of a googol (0.00000001% of a googol).
The Indian system groups digits of a large decimal representation differently than the US and other English-speaking regions. The Indian system does group the first three digits to the left of the decimal point. But thereafter, groups by two digits to align with the naming of quantities at multiples of 100. [2]
627: 62 + 70 = 132: 13 + 20 = 33 = 3 × 11. If the number of digits is even, add the first and subtract the last digit from the rest. The result must be divisible by 11. 918,082: the number of digits is even (6) → 1808 + 9 − 2 = 1815: 81 + 1 − 5 = 77 = 7 × 11. If the number of digits is odd, subtract the first and last digit from the rest.
The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.
Later, French arithmeticians changed the words' meanings, adopting the short scale definition whereby three zeros rather than six were added at each step, so a billion came to denote a thousand million (10 9), a trillion became a million million (10 12), and so on. This new convention was adopted in the United States in the 19th century, but ...
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