Academic AlgebraAmerican Book Company, 1901 - 444 páginas |
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Página 3
... increasing in difficulty in each subject , so that , if desired , a brief and easier course may be conveniently provided by omitting the more difficult problems at the end of each list . In several respects , the order of the topics ...
... increasing in difficulty in each subject , so that , if desired , a brief and easier course may be conveniently provided by omitting the more difficult problems at the end of each list . In several respects , the order of the topics ...
Página 23
... increased , or made greater , when a posi- tive number is added to it , and decreased , or made less , when a negative number is added to it . Since , by § 51 , −3 ++ 1 = −2 , −2 ++ 1 = −1 , −1 + +1 = 0 , +1 + +1 = +2 , etc. , in ...
... increased , or made greater , when a posi- tive number is added to it , and decreased , or made less , when a negative number is added to it . Since , by § 51 , −3 ++ 1 = −2 , −2 ++ 1 = −1 , −1 + +1 = 0 , +1 + +1 = +2 , etc. , in ...
Página 40
... increased by 2 is equal to 8 , what is the number ? 3. In the equation x − 2 = 8 , what is done with the 2 in obtaining the value of ? In the equation x = 8 + 2 , how does the sign of 2 compare with its sign in the previous equation ...
... increased by 2 is equal to 8 , what is the number ? 3. In the equation x − 2 = 8 , what is done with the 2 in obtaining the value of ? In the equation x = 8 + 2 , how does the sign of 2 compare with its sign in the previous equation ...
Página 43
... increased by 10 is equal to 19 ? 36. What number diminished by 30 is equal to 20 ? 37. What number diminished by 111 is equal to - 15 ? 38. What number exceeds of itself by 10 ? SUGGESTION . - Let 3x the number . 39. Five times a number ...
... increased by 10 is equal to 19 ? 36. What number diminished by 30 is equal to 20 ? 37. What number diminished by 111 is equal to - 15 ? 38. What number exceeds of itself by 10 ? SUGGESTION . - Let 3x the number . 39. Five times a number ...
Página 44
... increased by a is equal to the number increased by 9 a . What is the number ? 48. The sum of 4 numbers in a row is 58. If their common difference is 3 , what are the numbers ? SUGGESTION . - Let Then , x the smallest number . x + 3 ...
... increased by a is equal to the number increased by 9 a . What is the number ? 48. The sum of 4 numbers in a row is 58. If their common difference is 3 , what are the numbers ? SUGGESTION . - Let Then , x the smallest number . x + 3 ...
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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.