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Ferrell's Elementary Arithmetic Volume 1

Ferrell's Elementary Arithmetic Volume 1


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About the Book

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. 1901 Excerpt: ... 8320 74. Cancellation.--Sometimes the dividend and divisor have the same (common) factors. When this is so, the division may often be made easier and shorter by omitting or canceling out the common factors from both dividend and divisor. For cancellation, we usually place the dividend above and the divisor below a horizontal line. EXAMPLES. Note.--The first four examples are given to develop the principle ot cancellation. It is intended that the pupil use the developed plan as given in the fifth and sixth examples. 1. Divide 48 by 16. Dividend... 48 = 2x2x2x2x3 Divisor.... 16= 2x2x2x2 2. Divide 140 by 35. 140=2X2X0X?_ 35=;x Sometimes the dividend or divisor, or both dividend and divisor, are expressed in the form of continued multiplication. Then it is a special help to use cancellation. 3. Divide 60 X 25 by 5 X 30. "5X30= It is not necessary to use prime factors if composite factors are common. 15x 9= Xfix9 Instead of rewriting and factoring before canceling, you can do this work mentally. 5. Divide 50X96 by 15x8. 4 io n 00X?0 Explanation: (1) Cancel 5 out of 50 and 15, leaving 10 above and 3 below. (2) 96contains 8 12 times; cancel 8and 96, placing 12 above. (3) 12 contains 3 4 times; cancel 3 and 12, and place 4 above. (4) 4 x 10 = 40. How many times will 48x27x15 contain 9x6X10? 4 $ 3 3 WxffxXf_of. Explanation: (1) 6 in 48 8 times. Cancel 6 and 48, and place 8 above. (2) 9 in 27 3 times. Cancel, and write 3 above. (3) 5 is common to 15 and 10. Cancel, and write 3 above and 2 below. (4) 2 in 8 4 times. Cancel, and write 4 above. (5) 4x3x3 = 36. EXERCISE LXVII. 1. Divide 6X10 by 12. 2. Divide 9x24 by 36.. 12x9x5, . 45X18X4 3--15X9-( )?. 9X20-( )? f 30X56X80 36X64X100 100X12X28-(' 25X16X8 (' 36X50X28 _ 42X52X108 _ 70x18X10 l; 78X60; 72X95X48. 20...


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Product Details
  • ISBN-13: 9781130483833
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130483835
  • Publisher Date: 06 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 82 gr


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