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Q. Do they require it?—A. Yes; for they are of different denominations.
Q. What will you reduce them to?-A. To ounces, which is the lowest denomination mentioned in either.
Q. How do you reduce the 1 cwt. to ounces?-A. By multiplying it by 112, and the product by 16.
Q. Do it; what is the number of ounces?-A. 1792.
Q. How do you bring 4 lb. 8 oz. your third term, into ounces? - A. By multiplying the 4 lb. by 16, bringing in the 8 oz. Q. What is the product?-A. 72.
Q. What do you next look to?—A. To my second term, to see if it requires to be reduced.
Q. Does it? A. Yes; it is a mixed number.
Q. What do you reduce it to?-A. To shillings, the lowest denomination mentioned.
Q. What is the number of shillings in 51. 5s.?—A. 105.
Q. Having thus attended to your three terms, what is your next step?-A. I multiply together the second and third. Q. What is the product?-A. 7560.
Q. What do you do next?--A. I divide this product by the first term, 1792.
Q. What is the quotient?-A. 4 shillings.
Q. How do you know it to be shillings?-A: Because the second number was brought into shillings; and the quotient must be the same.
Q. Is this quotient the answer required?-A. Not the whole answer; for there is a remainder to be attended to.
Q. When there is a remainder, what are you to do with it? -A. I must reduce it to the next denomination below that which the second term was reduced to.
Q. What was your second term reduced to?-A. To shillings.
Q. What, then, must you reduce your remainder to?-A. To pence.
Q. Do it what is the number of pence?-A. 4704.
Q. What are you to do next?—A. I must divide this product by my first.
Q. What is the quotient?-A. 2 pence; that being the denomination to which the remainder was reduced.
Q. Have you any remainder after this last division?-A. Yes. Q. What are you to do with it?-A. I must reduce it to farthings.
Q. What is the number of farthings?-A. 4480.
Q. What must you do with these 4480 farthings?—A. I must divide them by my first term, as before.
Q. What is the quotient?-A. 2; that is,, or 2 farthings; that being the denomination to which the last remainder was reduced.
Q. Is there any remainder left?—A. Yes; 896.
Q. What can you do with this remainder?-A. It is already in farthings, and cannot be reduced lower.
Q. Is the sum done then?-A. Yes.
Q. What is the answer, or fourth term, required?—A, All the quotients placed in order, and the remainder set down as a fraction; thus, Answer, 4s. 21d. 39%
Q. How do you prove a sum in the Rule of Three Direct? -A. By reversing it, or working it back again.
Q. In reversing a sum, which do you make your first term? -A. That which before was my third term.
Q. Which is your second term in a reverse?-A. That which was the answer, or fourth term.
Q. Which is your third term in a reverse?-A. That which was the first term.
Q. How does reversing a sum prove it?-A. When the answer, or fourth term of the reverse is the same as the second term of the former sum, the work is shewn to be right.
Q. Supposing that there was a remainder in the answer to the former sum, which is set down as a fraction in the second term of the reverse, how do you dispose of it?-A. I pay no attention to it when I am reducing my second term; but I bring it in, when I multiply together my second and third terms.
Q. How do you state the reverse of the last example?
—A. If 4lb. 8oz.: 4s. 2 d. 396 :: 1 cwt.
Q. What will the answer be, supposing the original sum to be right?—A. 51. 5s.c
Lately published by the same Author;
The Second Edition of
Questions on "The History of our Blessed Saviour, "taken from the New Testament, and printed for the "Society for Bettering the Condition of the Poor;" with Answers annexed. For the use of Teachers of Classes in Schools conducted on the Principle of Tuition by the Scholars themselves.
Also, Questions on "The Parables of our Blessed Sa"viour, taken from the New Testament, and printed for "the Society for Promoting Christian Knowledge ;" with Answers annexed. For the use of Teachers of Classes in Schools conducted on the Principle of Tuition by the Scholars themselves.
Sold by J. Parker, Oxford; and by Messrs. Rivington, and J. Hatchard, London.