Academic AlgebraAmerican Book Company, 1901 - 444 páginas |
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Página 7
... Hence , and Let Then , and therefore , Hence , and the number of acres of corn , the number of acres of both ; 4 times that number = 400 . the number = 100 , the number of acres of oats , 3 times the number = 300 , the number of acres ...
... Hence , and Let Then , and therefore , Hence , and the number of acres of corn , the number of acres of both ; 4 times that number = 400 . the number = 100 , the number of acres of oats , 3 times the number = 300 , the number of acres ...
Página 14
... 2 , 4 , 6 , 8 , is read 2 , 4 , 6 , 8 , and so on . ---- 21. The Sign of Deduction is ... It signifies therefore or hence . FACTORS , POWERS , AND ROOTS 22. Each of two 14 ACADEMIC ALGEBRA DEMIC MULTIPLICATION DIVISION.
... 2 , 4 , 6 , 8 , is read 2 , 4 , 6 , 8 , and so on . ---- 21. The Sign of Deduction is ... It signifies therefore or hence . FACTORS , POWERS , AND ROOTS 22. Each of two 14 ACADEMIC ALGEBRA DEMIC MULTIPLICATION DIVISION.
Página 20
... Hence , the scale of algebraic numbers may be written : -5 , -4 , -3 , -2 , −1 , 0 , +1 , +2 , +3 , +4 , +5 , 46. By repeating +1 as a unit any positive number may be obtained , and by repeating -1 as a unit any negative number may be ...
... Hence , the scale of algebraic numbers may be written : -5 , -4 , -3 , -2 , −1 , 0 , +1 , +2 , +3 , +4 , +5 , 46. By repeating +1 as a unit any positive number may be obtained , and by repeating -1 as a unit any negative number may be ...
Página 23
... Hence , it follows that : 1. Any positive number is greater than zero and any negative number is less than zero . 2. Of two positive numbers that which has the greater absolute value is the greater , and of two negative numbers that ...
... Hence , it follows that : 1. Any positive number is greater than zero and any negative number is less than zero . 2. Of two positive numbers that which has the greater absolute value is the greater , and of two negative numbers that ...
Página 24
... of positive and negative units will cancel each other , and the same number of one or the other will be left , in whatever order the numbers are added . Hence , whether the numbers have like or unlike signs 24 ACADEMIC ALGEBRA.
... of positive and negative units will cancel each other , and the same number of one or the other will be left , in whatever order the numbers are added . Hence , whether the numbers have like or unlike signs 24 ACADEMIC ALGEBRA.
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Términos y frases comunes
a²b a²b² a²x² a³b ab² algebraic numbers algebraic sum arithmetical means arithmetical progression ax² binomial cents coefficient Commutative Law complete divisor contain cube root denominator difference digits divided dividend dollars equivalent established as follows EXAMPLES exponent expression Extracting the square Find the value fraction geometrical mean geometrical progression given equation Hence highest common divisor imaginary numbers integer logarithm lowest common multiple mantissa monomial multiplied negative number number of permutations polynomial positive integer positive number pounds PRINCIPLE PROCESS proportion quadratic quotient radical ratio Reduce remainder result second term Simplify simultaneous equations SOLUTION Solve the equation Solve the following square root Substituting subtracted surd Transposing trial divisor twice units unknown number variable x²y x²y² xy²
Pasajes populares
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 210 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 228 - Add to the trial divisor the figure last found, multiply this complete divisor by the figure of the root found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Página 403 - The exponent of the power to which a fixed number, called the base, must be raised in order to produce a given number is called the logarithm of the given number.
Página 225 - Then divide the first term of the remainder by the first term of the divisor...
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 413 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 224 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
Página 76 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Página 412 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.