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... BRACKETS . ADDITION . 1 • 7 11 IV . SUBTRACTION · 16 · MISCELLANEOUS EXAMPLES I. 19 • · V. MULTIPLICATION 21 VI . DIVISION 31 VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ELEMENTARY RULES 38 42 ...
... BRACKETS . ADDITION . 1 • 7 11 IV . SUBTRACTION · 16 · MISCELLANEOUS EXAMPLES I. 19 • · V. MULTIPLICATION 21 VI . DIVISION 31 VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ELEMENTARY RULES 38 42 ...
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... 22. The sum of two quantities numerically equal but with opposite signs is zero . Thus the sum of 5a and -5a is 0 . EXAMPLES II . CHAPTER III . SIMPLE BRACKETS . ADDITION II . ] NEGATIVE QUANTITIES . ADDITION OF LIKE TERMS . 9.
... 22. The sum of two quantities numerically equal but with opposite signs is zero . Thus the sum of 5a and -5a is 0 . EXAMPLES II . CHAPTER III . SIMPLE BRACKETS . ADDITION II . ] NEGATIVE QUANTITIES . ADDITION OF LIKE TERMS . 9.
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Henry Sinclair Hall, Samual Ratcliffe Knight. EXAMPLES II . CHAPTER III . SIMPLE BRACKETS . ADDITION . 23. WHEN. Find the sum of 1. 2a , 3a , 6a , a , 4a . 2. 4x , x , 5x , 6x , 8x . 3. 6b , 11b , 8b , 9b , 5b . 4 . 6c , 7c , 3c , 16c ...
Henry Sinclair Hall, Samual Ratcliffe Knight. EXAMPLES II . CHAPTER III . SIMPLE BRACKETS . ADDITION . 23. WHEN. Find the sum of 1. 2a , 3a , 6a , a , 4a . 2. 4x , x , 5x , 6x , 8x . 3. 6b , 11b , 8b , 9b , 5b . 4 . 6c , 7c , 3c , 16c ...
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... Brackets ( ) are used to indicate that the terms enclosed within them are to be considered as one quantity . The full use of brackets will be considered in Chap . VII .; here we shall deal only with the simpler cases . 8+ ( 13 + 5 ) ...
... Brackets ( ) are used to indicate that the terms enclosed within them are to be considered as one quantity . The full use of brackets will be considered in Chap . VII .; here we shall deal only with the simpler cases . 8+ ( 13 + 5 ) ...
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... brackets is preceded by the sign the brackets " may be removed if the sign of every term within the brackets be changed . Addition of Unlike Terms . .26 . When two or more like terms are to be added together we have seen that they may ...
... brackets is preceded by the sign the brackets " may be removed if the sign of every term within the brackets be changed . Addition of Unlike Terms . .26 . When two or more like terms are to be added together we have seen that they may ...
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Common terms and phrases
A's age a²+b² acres algebraical sum Arithmetic arranged B's age beginner binomial cents CHAPTER coefficient Completing the square compound expressions contains convenient descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation Simplify simultaneous equations Solve the equations square root subtract Transposing trinomial unknown quantities walk whence write yards
Popular passages
Page 160 - An equation which contains the square of the unknown quantity, but no higher power, is called a quadratic equation, or an equation of the second degree. If the equation contains both the square and the first power of the unknown, it is called...
Page 188 - Elementary Trigonometry" etc Edited mi*l Arranged for American Schools By CHARLOTTE ANGAS SCOTT, D.SC., Head of Math. Deft., Bryn Mauir College, Pa. 1 6mo. Cloth. 75 cents. " Evidently the work of a thoroughly good teacher. The elementary truth, that arithmetic is common sense, is the principle which pervades the whole book, and no process, however simple, is deemed unworthy of clear explanation. Where it seems advantageous, a rule is given after the explanation. . . . Mr. Lock's admirable Trigonometry...
Page 105 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Page 89 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Page 87 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Page 89 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.