The First Steps in Algebra |
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Common terms and phrases
a+b+c a²b a²b² a³b³ ab+b² ab² ab³ ac² algebraic expression algebraic numbers arithmetical mean arithmetical progression binomial called coefficient common factor complete divisor compound expression cube root decimal denominator difference Divide dividend divisor equal numbers exceeds Exercise Extract the square feet figures Find the numbers Find the product Find the square Find the sum find the value formula fraction geometrical progression given number greater number Hence highest common factor integral number leaps letters miles an hour minus monomial multiplicand Multiply negative numbers number of dollars numbers whose product oranges parenthesis Polynomials quadratic equation quotient remainder Resolve into factors result rods second term smaller number Solve square root stands Subtract trial-divisor unknown number whole 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 115 - A hare takes 4 leaps to a greyhound's 3 ; but 2 of the greyhound's leaps are equivalent to 3 of the hare's. The hare has a start of 50 leaps. How many leaps must the greyhound take to catch the hare ? Let 3 x = the number of leaps taken by the greyhound.
Page 21 - It becomes necessary in solving an equation to bring all the terms that contain the symbol for the unknown number to one side of the equation, and all the other terms to the other side. This is called transposing the terms. We will illustrate by examples : (1) Find the number for which x stands when...
Page 87 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 132 - Collecting similar terms, every quadratic equation can be made to assume the form ax2 + bx + c = 0, where a, b, and c are known numbers, and x the unknown number.
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 91 - 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 89 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other. 1. Reduce - to its lowest terms.
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.