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In mathematics, a multiple is the product of any quantity and an integer. [1] In other words, for the quantities a and b , it can be said that b is a multiple of a if b = na for some integer n , which is called the multiplier .
Cycles of the unit digit of multiples of integers ending in 1, 3, 7 and 9 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad. Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5.
A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
Examples include e and π. Trigonometric number: Any number that is the sine or cosine of a rational multiple of π. Quadratic surd: A root of a quadratic equation with rational coefficients. Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number.
Forming an alternating sum of blocks of three from right to left gives a multiple of 7 [5] [7] 1,369,851: 851 − 369 + 1 = 483 = 7 × 69. Adding 5 times the last digit to the rest gives a multiple of 7. (Works because (50 − 1) is divisible by 7.) 483: 48 + (3 × 5) = 63 = 7 × 9. Subtracting 2 times the last digit from the rest gives a ...
SI multiples of metre (m) Submultiples Multiples Value SI symbol Name Value SI symbol Name 10 −1 m dm decimetre 10 1 m dam decametre 10 −2 m cm: centimetre: 10 2 m hm hectometre 10 −3 m mm: millimetre: 10 3 m km: kilometre: 10 −6 m μm: micrometre (micron) 10 6 m Mm megametre 10 −9 m nm: nanometre: 10 9 m Gm gigametre 10 −12 m pm ...
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For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...