The First Steps in Algebra |
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Common terms and phrases
a+b+c a²b a²b² a²b³ a²c a³b a³b³ ab+b² ab² ab³ abscissa ac² algebraic expression algebraic numbers arithmetical mean arithmetical progression binomial called coefficient common factor compound expression coördinates cube root decimal denominator difference digits dividend divisor Exercise feet figures Find the numbers Find the product Find the sum find the value formula given number greater number Hence highest common factor integral number leaps letters means miles an hour monomial Multiply negative numbers number is divided number of dollars oranges ordinate parenthesis Polynomials quadratic equation quotient ratio remainder represented Resolve into factors result second term smaller number Solve square root stands Subtract trial-divisor units unknown number x²y x²y² x³y x³y³ xy² xy³ yards
Popular passages
Page 163 - ... connected by the brace, and annexing two ciphers to the result. The last two figures of the root are found by division. The rule in such cases is, that two less than the number of figures already obtained may be found without error by division, the divisor to be employed being three times the square of the part of the root already found.
Page 169 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd, — = r~,> /n"- bd a- c or - = -• .'. a : b = с : d.
Page 59 - 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.
Page 87 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 91 - Divide the numerator by the denominator. NOTE. If there is a remainder, this remainder must be written as ,the numerator of a fraction of which the divisor is the denominator, and this fraction with its proper sign must be annexed to the integral part of the quotient.
Page 88 - Separate each number into its prime factors. Find the product of these factors, taking each factor the greatest number of times it occurs in any one of the given numbers.
Page 172 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 117 - The area of a rectangle is equal to the product of the length by the breadth.
Page 54 - Multiply every term of the multiplicand by each term of the multiplier, and add the partial products.
Page 79 - Extract the square roots of the first and last terms, and connect these square roots by the sign of the middle term.