Practical Arithmetic; Uniting the Inductive with the Synthetic Mode of Instruction Also Illustrating the Principles of Cancelation for Schools and Academies Volume 5

Practical Arithmetic; Uniting the Inductive with the Synthetic Mode of Instruction Also Illustrating the Principles of Cancelation for Schools and Academies Volume 5

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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. 1846 edition. Excerpt: ... How are decimals multiplied together? How do you point off the product? When the product does not contain so many figures as there are decimals in both factors, what is to be done? Proof.--Multiplication of Decimals is proved in the same manner as Simple Multiplication. (Arts. 53, 74.) Obs. The reason for pointing off as many decimal places in the product as there are decimals in both factors, may be illustrated thus: Suppose it is required to multiply.25 by.5. Supplying thedemiminators.25=-nftr, and.5=-rV (Art. 180.) Now iWrx-fif=-ryi .. (Art. 135.) But TVo6!) =-125; (Art. 179;) that is, the product of i25x.5, contains just as many decimals as the factors themselves. In like mannerit may be shown that the product of any two or more decimal numbers, must contain as many decimal figures as there are places of decimals in the given factors. EXAMPLES. Ex. 1. In 1 piece of cloth there are 31.7 yards: how many yards are there in 7.3 pieces? 2. In 1 barrel there are 31.5 gallons: how many gallons are there in 8.25 barrels 1 3. In one rod there are 16.5 feet: how many feet are there in 35.75 rods? 4. How many cords of wood are there in 45 loads, allowing 8.25 of a cord to a load? 5. How many rods are there in a piece of land 25.35 rods long, and 20.5 rods wide 1 6. If a man can travel 3S.75 miles per day, how far can he travel in 12.25 days? 7. How many pounds of coffee are there in 68 sacks, allowing 961.25 pounds to a sack? 8. If a family consume.85 of a barrel of flour in a week, how much will they consume in 52.23 weeks? 9. What is the product of 10.001 into.05? 10. What is the product of 50.0065 into 1.003? 192. When the multiplier is 10, 100, 1000, &c., multiplication may be performed by simply removing the decimal point as many places...show more

Product details

  • Paperback | 98 pages
  • 189 x 246 x 5mm | 191g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236523385
  • 9781236523389