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Unformatted text preview: mber, then it is called that numbers are divisible,
i.e. one number is divided without remainder by another. Otherwise, we have a division with remainder. For
example, 23 isn’t divided by 4 ; this case can be written as: 23 = 5 · 4 + 3. Here 3 is a remainder.
Raising to a power. To raise a number to a whole (second, third, forth, fifth etc.) power means to repeat it as a
factor two, three, four, five and so on. The number, repeated as a factor, is called a base of a power; the quantity
of factors is called an index or an exponent of a power; the result is called a value of a power. A raising to a
power is written as: Math I -1- Feel free to pass this on to your friends, but please don’t post it online.
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3 5 = 3 · 3 · 3 · 3 · 3 = 243 . Here 3 – a base of the power, 5 – an exponent (an index) of the power, 243 – a value of the power.
The second power is called a square, the third one – a cube. The first power of any number is this number.
Extraction of a root – an operation of finding a base of a power by the power and its exponent: Here 243 – a radicand, 5 – an index (degree) of the root, 3 – a value of the root. The second root is called a
square root, the third root – a cube root.The second degree of square root isn’t written: Addition and subtraction, multiplication...
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This note was uploaded on 07/21/2013 for the course UPCAT 2014 taught by Professor Otis during the Spring '13 term at University of the Philippines Diliman.
- Spring '13