# Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is Combined with the Use of the Slate, Containg a Complete System for All Practical Purposes; Being in Dollars and Cents ... With Exercises for the Slate, to which is Added a Practical System of Book-keeping

H.& J.C. Ivison, 1844 - Arithmetic - 284 pages

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Page 249 - Subtract the subtrahend, from the dividend and to the remainder bring down the next period for a new dividend, with which proceed as before, and so on, till the whole is completed. NOTE. — The same rule must be observed for continuing the operation, and pointing for decimals; as in the square root.
Page 260 - Hence, to find the number of different changes or permutations which may be made with any given number of different things. — Multiply together all the terms of the natural series, from 1 up to the given number, and the last product will be the number of changes required. 4. How many different ways may the first five letters of the alphabet be arranged ? A.
Page 200 - COMPUTE the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due: add that interest to the principal, and from the sum subtract the payment made at that time, together with the preceding payments (if any) and the remainder forms a new principal ; on which, compute and subtract the interest, as upon the first principal: and proceed...
Page 255 - Multiply the last term by the ratio; from the product subtract the first term, and divide the remainder by the ratio, less 1, for the sum of the series.
Page 168 - A. Divide the given interest by the interest of the given sum, at 1 per cent, for the given time ; the quotient will be the required rate.
Page 213 - How many shingles will it take to cover the roof of a barn 40 feet long, allowing the length of the rafters to be 16 ft.
Page 251 - The numbers which form the series are called the terms of the series or progression. The first and last terms are called the extremes, and the other terms the means.
Page 251 - Any three of the five following things being given, the other two may be easily found. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference.
Page 170 - Or, make the given interest the numerator, and the interest of the principal for 1 year at the given rate the...