Elementary arithmetic, with brief notices of its history... by Robert Potts.

15 2. Acd together four million twenty thousand and seventy-nine, twelve million two thousand and seven, and one million and five thousand, and subtract 16538107 from the sum. 3. What is the difference between the aggregate of 1050, 325, 1769, 150801, and a million? Shew that the same difference is obtained by taking one of the numbers from a million, another from the remainder, and so on for the rest of the numbers. 4. Subtract four billions thirty millions seventy-five thousand and eleven from 8876521856201, and write the difference in words. 5. Find the remainder after subtracting the numbers 44444, 9999, 666, 77, 1, in succession from 1000000. 6. Find the difference between the sum of 31845, 814, 10345, and the sum of 10014, 569, 1845. 7. Subtract the sum of 48002, 6100, and 5018462, from the difference of 1000000000 and 1234567890. 8. Subtract the difference between sixty billions and sixty thousands from the sum of fifty trillions and fifty millions. V. 1. How may the accuracy of the process of subtraction be verified? Give an example. 2. Subtract 819 from 918, explaining the process. 3. Shew that the difference of 254 and 125 is the same as the difference when these numbers are each increased by 123. 4. What number subtracted from 670194 will leave 3825? 5. Half the sum of any two numbers is equal to the greater, and half the difference is equal to the less number. Apply this to find the two numbers whose sum is 521 and difference 175. 6. By how much does the sum of the numbers 27182818284 and 31415926535 exceed their difference? VI. 1. Find the excess of 8765427 above 7634289 by means of the arithmetic complement; and explain the principle. 2. Find the result by means of the arithmetic complement of the numbers 578421, 854325, 104231, which are to be added, and of 325410, 684531, 213418, which are to be subtracted. 3. Find the difference of the sums of 256, 1875, 34210, and of 4008, 214, 56, by means of the arithmetic complement. 4. Find the difference of the aggregate of the numbers 1234567, 8543021, 5432147, and of 3245785, 5180072, by means of the arithmetic complement. 5. Write five numbers of seven places of figures each under each other, and beneath these write the arithmetic complements of four of them. Shew that the sum of the nine lines of figures will consist of the fifth line with 4 in the eighth place reckoned from the right-hand figure.

/ 389
Pages

Actions

file_download Download Options Download this page PDF - Pages 8-27 Image - Page 8 Plain Text - Page 8

About this Item

Title
Elementary arithmetic, with brief notices of its history... by Robert Potts.
Author
Potts, Robert, 1805-1885.
Canvas
Page 8
Publication
London,: Relfe bros.,
1876.
Subject terms
Arithmetic

Technical Details

Link to this Item
https://name.umdl.umich.edu/abu7012.0001.001
Link to this scan
https://quod.lib.umich.edu/u/umhistmath/abu7012.0001.001/168

Rights and Permissions

The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].

DPLA Rights Statement: No Copyright - United States

Manifest
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abu7012.0001.001

Cite this Item

Full citation
"Elementary arithmetic, with brief notices of its history... by Robert Potts." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abu7012.0001.001. University of Michigan Library Digital Collections. Accessed June 7, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.