First Course in Algebra |
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Σελίδα 1
Thus , if we suppose l = 2 ft . and b = 3 ft . , it gives instantly A = 2X3 , or 6 sq . ft . ,
which we know by arithmetic is the right answer . The advantage in using letters
is twofold . It enables us to write general rules and it is of great assistance in ...
Thus , if we suppose l = 2 ft . and b = 3 ft . , it gives instantly A = 2X3 , or 6 sq . ft . ,
which we know by arithmetic is the right answer . The advantage in using letters
is twofold . It enables us to write general rules and it is of great assistance in ...
Σελίδα 14
Adding 3 x to both sides , 8 x = 16 . ( Axiom I ) Dividing both sides by 8 , x = 2 .
Ans . ( Axiom IV ) · Again , suppose we wish to solve the equation 6 + 6 x = 3 x +
12 . Here we proceed as follows . Subtracting 3 x from 14 [ I , § 11 FIRST
COURSE ...
Adding 3 x to both sides , 8 x = 16 . ( Axiom I ) Dividing both sides by 8 , x = 2 .
Ans . ( Axiom IV ) · Again , suppose we wish to solve the equation 6 + 6 x = 3 x +
12 . Here we proceed as follows . Subtracting 3 x from 14 [ I , § 11 FIRST
COURSE ...
Σελίδα 35
Suppose you owe $ 2 , but your father , without your knowing it , pays the debt .
The result is that you are $ 2 better off than before . In other words , the result of
taking away , or subtracting , a $ 2 debt is to increase what you have by $ 2 .
Suppose you owe $ 2 , but your father , without your knowing it , pays the debt .
The result is that you are $ 2 better off than before . In other words , the result of
taking away , or subtracting , a $ 2 debt is to increase what you have by $ 2 .
Σελίδα 36
Next , suppose you have $ 10 , but wish to buy a picture costing $ 15 . This is like
taking away , or subtracting , $ 15 from yourself when you have only $ 10 , and
the result is that you go $ 5 into debt . It is the same as adding a $ 15 debt to the ...
Next , suppose you have $ 10 , but wish to buy a picture costing $ 15 . This is like
taking away , or subtracting , $ 15 from yourself when you have only $ 10 , and
the result is that you go $ 5 into debt . It is the same as adding a $ 15 debt to the ...
Σελίδα 40
Remembering that in arithmetic we have 2X3 = 3X2 , we may here suppose that
5X ( - 4 ) = ( - 4 ) X5 . But this last form ( being similar to the one in the second
case ) means – 4 taken 5 times , which is – 20 . Thus , we have 5X ( - 4 ) = – 20 .
Remembering that in arithmetic we have 2X3 = 3X2 , we may here suppose that
5X ( - 4 ) = ( - 4 ) X5 . But this last form ( being similar to the one in the second
case ) means – 4 taken 5 times , which is – 20 . Thus , we have 5X ( - 4 ) = – 20 .
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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.
Πληροφορίες βιβλιογραφίας
| Τίτλος | First Course in Algebra A series of mathematical texts Series of mathematical texts, ed. by E. R. Hedrick |
| Συγγραφείς | Walter Burton Ford, Charles Ammerman |
| Εκδότης | Macmillan, 1919 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 20 Ιουν. 2007 |
| Μέγεθος | 334 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |