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ab² added addition algebraic Arithmetic arranged ax² beginner binomial brackets called cents changed CHAPTER coefficient combinations compound consider contains cost cube DEFINITION denominator denote difference digits dimes Divide division divisor dollars equal equation EXAMPLES expression feet find the number find the value four fraction give given greater Hence highest common factor indices integer less letter lowest common means method miles Multiply negative NOTE obtain positive problem prove quadratic quantities quotient ratio remainder removed represents Resolve into factors result Rule rule of signs side simple Simplify solution Solve square root Subtract surds symbols taken things third walks write written x²y yards zero
Page 319 - Therefore the number of permutations of n things taken r at a time is n(n -l)1n — 2)-.(n — r + 1).
Page 167 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive. INVOLUTION OF MONOMIALS. 187. From definition -we have, by the rules of multiplication, (a2)* = a1 . a
Page 328 - Simoom, so that vowels and consonants occur alternately in each word ? 4. A telegraph has 5 arms, and each arm has 4 distinct positions, including the position of rest : find the total number of signals that can be made.
Page 351 - The logarithm of a product is the sum of the logarithms of its factors.
Page 183 - The sixth root of an expression is found by taking the cube root of the square root, or the square root of the cube root.
Page 352 - DEFINITION. The integral part of a logarithm is called the characteristic, and the decimal part, when it is so written that it is positive, is called the mantissa.
Page 100 - DEFINITION. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest dimensions which is divisible by each of them without remainder. The abbreviation L.
Page 322 - From 7 Englishmen and 4 Americans a committee of 6 Is to be formed: in how many ways can this be done, (1) when the committee contains exactly 2 Americans, (2) at least 2 Americans ? (1...