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First-Year Mathematics for Secondary Schools Volume 1

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Highlights

  • ISBN13:9781130536522
  • ISBN10:1130536521
  • Publisher:Rarebooksclub.com
  • Language:English
  • Author:George William Myers
  • Binding:Paperback
  • Sub Genre:General
  • SUPC: SDL036759665

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 Excerpt: ...n. State the law of signs for multiplication and interpret the meaning of positive and negative multipliers and multiplicands (see pp. 77-85). Exercise XXI Simplify the following products: (10) 3. State a short way of dividing powers of the same base. 4. State the law of signs for division (see p. 86). 1. Using the tables, write as powers of 2, 3, or 5: 16 6,561 I77.H7 2,187 243 729 1,024 128 15,625 390,625 48,828,125 2. Using the above tables, many large multiplications and divisions may be simplified, as will be seen from the following examples: (1) (2) (3) (4) (5) Exercise XXIII Carry out the following multiplications and divisions, using the tables of powers of 2, 3, and 5: 1. 6,561X81 7. 390,6254-3,125 2. 78,125X625 8. 244,140,625-7-78,125 3. 512-7-16 9. (243)2 4. 729X243 10. (15,625) 5. 2,048-7-128 11. 4,096-7-64 6. 177,147-7-729 12. 390,625X625. For the following problems the above tables have to be extended to the 251)1 powers: 282,429,536,481 3' 3,486,784,401 14-15,625X78,125X9,765,625 15-253 16 847,288,609,443Xs31,441 '" 31,381,059,609X14,348,907 30,517,578,125X3,814,697,265,625 10,670,928,955,078,125 1g 16,777,216X1,024X262,144 2,097,152X8,192 Multiplication and Division of a Polynomial by a Monomial 124. What is the total area of four adjacent flower-beds, whose length is 10 ft. each, and whose widths are 7, 2. 5, and 3 ft. respectively? The total area may be expressed in either of the two following ways: 10(7 + 2 + 5 + 3) or 10X7+10X2 + 10X5 + 10X3 Thence: 10(7 + 2+ 5+ 3) = 10X7+ 10X2+ 10X5+ 10X3. The area may thus be expressed as the product of a polynomial by a monomial or as one polynomial. 1. Represent in two different ways the total area of 7 adjacent rectangles having the same base b and having lengths 5, a, x, 7, 4, 9.5, and...

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