Academic AlgebraAmerican Book Company, 1901 - 444 páginas |
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Página 7
... expression of equality between two numbers or quan- tities is called an Equation . 5x30 is an equation . 3. A question that can be answered only after a course of reasoning is called a Problem . 4. The process of finding the result ...
... expression of equality between two numbers or quan- tities is called an Equation . 5x30 is an equation . 3. A question that can be answered only after a course of reasoning is called a Problem . 4. The process of finding the result ...
Página 8
William James Milne. 5. The expression in algebraic language of the conditions of a problem is called the Statement of the problem . Solve algebraically the following problems : 2. A horse and saddle cost $ 50 . If the horse cost 4 times ...
William James Milne. 5. The expression in algebraic language of the conditions of a problem is called the Statement of the problem . Solve algebraically the following problems : 2. A horse and saddle cost $ 50 . If the horse cost 4 times ...
Página 14
... expressions included by them are to be treated as single numbers . Thus , each of the forms ( a + b ) c , a + b • c , [ a + b ] c , { a + b } c , and signifies that the sum of a and b is to be multiplied by c . ac , ты When numbers are ...
... expressions included by them are to be treated as single numbers . Thus , each of the forms ( a + b ) c , a + b • c , [ a + b ] c , { a + b } c , and signifies that the sum of a and b is to be multiplied by c . ac , ты When numbers are ...
Página 16
... EXPRESSIONS 28. A number expressed by algebraic symbols is called an Algebraic Expression . 29. When signs of operation are employed in algebraic ex- pressions , the sequence of operations is determined by the follow- ing conventional ...
... EXPRESSIONS 28. A number expressed by algebraic symbols is called an Algebraic Expression . 29. When signs of operation are employed in algebraic ex- pressions , the sequence of operations is determined by the follow- ing conventional ...
Página 17
... expression whose parts are not separated by + or is called a Term ; as 2x2 , - In the expression 2 x2 - · 5 xyz + ху 5 xyz , and xy 2 there are three terms . The expression m ( a + b ) is a term , the parts being m and ( a + b ) . 32 ...
... expression whose parts are not separated by + or is called a Term ; as 2x2 , - In the expression 2 x2 - · 5 xyz + ху 5 xyz , and xy 2 there are three terms . The expression m ( a + b ) is a term , the parts being m and ( a + b ) . 32 ...
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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.