First Course in Algebra |
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Σελίδα
This work brought into Europe for the first time the numeral system ( called the
Hindu - Arabic system ) which we use to - day and which employs the symbols 0 ,
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 instead of earlier symbols , such as the I , V , X , C , and
...
This work brought into Europe for the first time the numeral system ( called the
Hindu - Arabic system ) which we use to - day and which employs the symbols 0 ,
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 instead of earlier symbols , such as the I , V , X , C , and
...
Σελίδα
Walter Burton Ford, Charles Ammerman. NEWTON ( Sir Isaac Newton , 1642 –
1727 ) Discoverer of the law of gravitation and famous in algebra for his
discovery of the binomial theorem . Inventor of the branch of higher mathematics
called the ...
Walter Burton Ford, Charles Ammerman. NEWTON ( Sir Isaac Newton , 1642 –
1727 ) Discoverer of the law of gravitation and famous in algebra for his
discovery of the binomial theorem . Inventor of the branch of higher mathematics
called the ...
Σελίδα 2
2 . Literal Numbers . Numbers that are represented by letters are called literal
numbers . ORAL EXERCISES 1 . State by use of letters the following rule : The
volume of a box is equal to the product of its length , its width , and its height . (
Hint .
2 . Literal Numbers . Numbers that are represented by letters are called literal
numbers . ORAL EXERCISES 1 . State by use of letters the following rule : The
volume of a box is equal to the product of its length , its width , and its height . (
Hint .
Σελίδα 5
In arithmetic when two or more numbers are multiplied together each is called a
factor of the product . Thus , in the product 5X3X2 the factors are 5 , 3 , and 2 .
The same is true in algebra . Thus , the factors of 3 a are 3 and a ; the factors of 2
xy ...
In arithmetic when two or more numbers are multiplied together each is called a
factor of the product . Thus , in the product 5X3X2 the factors are 5 , 3 , and 2 .
The same is true in algebra . Thus , the factors of 3 a are 3 and a ; the factors of 2
xy ...
Σελίδα 7
SOLUTION . Let x stand for the number sought . Then , from what the problem
says , we must have 2 x + 5 = 29 . This statement is called an equation , since it is
an equality between two numbers . It may be compared to a balance ( see Fig .
SOLUTION . Let x stand for the number sought . Then , from what the problem
says , we must have 2 x + 5 = 29 . This statement is called an equation , since it is
an equality between two numbers . It may be compared to a balance ( see Fig .
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Συχνά εμφανιζόμενοι όροι και φράσεις
added algebra answer Appendix arithmetic ball base becomes called cents CHAPTER Check circle common factor complete considered contains cube denominator diameter difference distance divided divisible divisor Draw equal equation EXAMPLE EXERCISES Explain factors feet figure Find following equations following expressions Formula four fraction further exercises given gives graph Hence Hint illustrated inches indicated length letter lowest means multiply negative Note obtained ORAL EXERCISES polynomial positive pounds problems proportion quadratic quotient radical radius ratio reduces remainder represents result rule seen Show sides similar Similarly Simplify simply SOLUTION Solve square root subtract SUPPLEMENTARY EXERCISES Suppose topic triangle twice unit volume weight wheel write WRITTEN EXERCISES yards
Δημοφιλή αποσπάσματα
Σελίδα 241 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 101 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 238 - Find the greatest square in the left-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and to the remainder annex the next period for a dividend.
Σελίδα 138 - 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.
Σελίδα 140 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Σελίδα 238 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Σελίδα 102 - That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number.
Σελίδα 73 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Σελίδα 143 - A fraction is reduced to its lowest terms when its numerator and denominator have no common factor except 1.
Σελίδα 227 - If 1 is added to the numerator of a certain fraction, the value of the fraction becomes f ; if 2 is added to the denominator, the value of the fraction becomes £. What is the fraction ? SUGGESTION.