The American Equater, or Arithmetic Simplified; In Which Equations Are Used as a Substitute for Proportion (Paperback)

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. 1848 Excerpt: ...to cents, and Cents to dollars, we have the following RULE. First, Affix Two ciphers to the right of the Dollars, and call the number thus formed, Cents; and, Second, Cut off Two figures from the right of the Cents, by a decimal point, the Left hand figures will be Dollars, and the Right hand figures, Cents. EXAMPLES. 1. In 245 dollars, how many cents? Ans. 24500 cts. 2. In 3 dollars, how many cents? How many cents in 7 dollars? 8 dollars? 12 dollars? 125 dollars? 3. How many cents are there in 1 dollar? 10 dollars? 100 dollars? 1000 dollars? 10000 dollars? 4. How many cents are there in 421 dollars? 763 dollars? 562 dollars? 649 dollars? 9 cts. 5. In 327 cents, how many dollars? Answer 3.27. 6. How many dollars are there, in 100 cents? in 112 cents? 671 cents? 567 cents? 585 cents? 7. How many dollars are there in 101 cents? in 1001 cents? 101010 cents? 2010 cents? 40302010 cents? 8. How many dollars are there in 600500403 cents? in 100 cents? in 1000 cents? in 10000 cents? We have already learned that Ratio does not exist between quantities which are not of the same denomination, hence, Denominate Numbers, (so called, because they consist of different denominations, ) are irrational, and cannot be compared by any process of reason, till they are reduced to the same denomination; thus, if 1 hundred weight of sugar cost 10 dollars, we cannot say that 2 pounds will cost twice 10 dollars, because hundreds weight and pounds, are not of the same denomination; but we can say, that 2 cwts. would cost twice 10 dollars, because the denominations are the same. We, therefore, see, that when a Given and a Required quantity, are denominate, they must be reduced to the same name, or kind, before they can be made the subjects of Arithmetical calculation. On this principle..