Easy Mathematics, Chiefly Arithmetic; Being a Collection of Hints to Teachers, Parents, Self-Taught Students, and Adults, and Containing a Summary or

Easy Mathematics, Chiefly Arithmetic; Being a Collection of Hints to Teachers, Parents, Self-Taught Students, and Adults, and Containing a Summary or

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1906 edition. Excerpt: ...as dealing with whole numbers in the same notation. The process is just the same, only we must be careful to put the decimal point in the right place. So, however, we must with whole numbers, only we do not have to actually write a decimal point in their case (except in the quotient perhaps); but we always have to be careful to interpret the quotient as meaning hundreds or thousands, or whatever it is, correctly, and that is essentialy the same thing as attending to the position of the decimal point. For instance, divide 729 by 14. The last figure in the quotient is not exactly 3, but that is the nearest, and it is quite time to stop, as we have already reached the extravagant accuracy of seven significant figures. If we wanted to go on, however, there is not the slightest difficulty. We simply go on till the remainder is negligible, not because it is itself numerically small, but because it occurs so many decimal places away from the left hand significant figure that only an utterly insignificant fraction is left. For instance, in the above sum, the last remainder which is indicated, as giving the quotient 3 in the fifth decimal place of the quotient, is really-00040, and the multiplication of the divisor by 3 would give-00042, which leaves a remainder of-2 in the fifth decimal place, to be divided by 14; with a result wholly trifling. In the above sum the decimal points and a few preceding ciphers are indicated to show where they really occur, and to show how they might be indicated all the way along, if we chose; but there is no real need to indicate them anywhere except in the quotient. At the same time it sometimes helps to keep us right and clear to put all the points into the process, where they ought by rights to be, and always to...show more

Product details

  • Paperback | 100 pages
  • 189 x 246 x 5mm | 195g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 123679107X
  • 9781236791078