Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
Dentro del libro
Resultados 1-5 de 99
Página 10
... less than John . How much has each ? 32. A man had 675 sheep in three fields . If there were twice as many in the first field as in the second , and twice as many in the third field as in both of the others , how many sheep were there ...
... less than John . How much has each ? 32. A man had 675 sheep in three fields . If there were twice as many in the first field as in the second , and twice as many in the third field as in both of the others , how many sheep were there ...
Página 12
... less , ' ' exponent , ' ' + , ' ' - , ' etc. , must now be extended in meaning and application . For example , in an arithmetical sense 8 cannot be subtracted from 5 , nor does 83 have any meaning ; but in an algebraic sense , as will ...
... less , ' ' exponent , ' ' + , ' ' - , ' etc. , must now be extended in meaning and application . For example , in an arithmetical sense 8 cannot be subtracted from 5 , nor does 83 have any meaning ; but in an algebraic sense , as will ...
Página 14
... less than 5. ' 19. The Signs of Aggregation are : the Parenthesis , ( ) ; the Vinculum ,; the Brackets , [ ] ; the Braces , ; and the Vertical Bar , . They show that the expressions included by them are to be treated as single numbers ...
... less than 5. ' 19. The Signs of Aggregation are : the Parenthesis , ( ) ; the Vinculum ,; the Brackets , [ ] ; the Braces , ; and the Vertical Bar , . They show that the expressions included by them are to be treated as single numbers ...
Página 23
... less ' must be interpreted as follows : An algebraic number is 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 ...
... less ' must be interpreted as follows : An algebraic number is 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 ...
Página 31
... less . If they caught in all 120 fish , how many did each catch ? 25. The sum of 3 consecutive whole numbers is 84. What are the numbers ? SUGGESTION . - Let x represent the middle number . Then , the other two numbers will be ...
... less . If they caught in all 120 fish , how many did each catch ? 25. The sum of 3 consecutive whole numbers is 84. What are the numbers ? SUGGESTION . - Let x represent the middle number . Then , the other two numbers will be ...
Otras ediciones - Ver todas
Términos y frases comunes
a²b² a²x² ab² absolutely convergent algebraic sum arithmetical means arithmetical progression ax² binomial called cents coefficients column Commutative Law complex numbers continued fraction convergent convergent series cube root denominator difference digits divided dividend divisible established as follows EXAMPLES exponent expression factor Find the sum Find the value finite formula function geometrical mean geometrical progression geometrical series given equation Hence highest common divisor imaginary numbers inequality integer last term limit logarithm multiplied negative number nth root number of terms numerically less obtained polynomial positive integer positive number positive root PRINCIPLE quadratic quotient ratio real number reduced remainder represent result second term SOLUTION square root Substituting subtracted surd third Transposing twice units unknown number variable x²y x²y²
Pasajes populares
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 343 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Página 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Página 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Página 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.
Página 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.