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COMPOUND SUBTRACTION. What rule tells the difference between two numbers of the same general nature, but divided into various denominations? As. Compound Subtraction.
Wherein does Compound Subtraction differ, from Simple? Ans. Simple consisis of only one denomination, Compound of different or more than one.
How are the several denominations to be placed? Ans. As in Compound Additiou.
How is that?
Which is always to be placed under the greater? Ans. The less.
Which denomination begin with? Ans. The lowest.
How many units do you borrow, if it exceed the figure over it? Ans. As many, as make one of the next higher denominations.
What next? Ans. Subtract it therefrom.
What add the difference to? Ans. The upper Sigure.
What set down? Ans. The sum or amount. How long continue to do so? Ans. To the last denominator.
How subtract that? Ans. As in simple subtraction.
What is the proof? Ans. As in Simple Subtraction.
A man owes, you 1 pound and 19 shillings, and pays you 18 shillings, how much reinains unpaid?
A man owes you 14, 195, 12d, and pay yon ld, how much remains unpaid?
You borrow of a man 16, 20s. 12d, and pays one farthing; how much more ought he to demand of you?
Harry lent you 1£, and you returned 1 farthing of it; how much is his due uow?
COMPOUND MULTIPLICATION. Wherein does compound differ from Simple Multiplication? Ans. Simple consists of only one denomination. Compound of more than one, or different denominations.
What is Compound Multiplication then? Ans. It is the multiplying numbers of ditierent denominations, by a single number.
Under which denomination is the multiplier to be placed? Ans. The smallest.
How multiply each denomination? Ans. Scparately, as in Simple Multiplication.
How divide the product, and carry? Ans. As in Compound Addition. • What is the proof? Ans. As in Simple Multiplieation,
Note.-Examples are omitted in this, and some other rules, as being too difficult to be performed, without the use of the slate.
COMPOUND DIVISION. Wherein does Compound Division differ from Simple? Ans. Simple consists of only one denomination, Compound of more than one, or different denominations.
What is Compound Division then? Ans. It is the process of finding how many times, one number is contained in another, of different denominations.
With which denomination do you begin to divide? Ans. The highest.
How divide it? Ans. As in Simple Division.
If you have a remainder what do you multiply it, by. Ans. By as many of the next lower denomination, as make one of this
What add in? Ans. The next denomination in the dividend, if there be any.
How divide then? Ans. As in Simple Division.
Ilow proceed, after this, to finish your sum? Ans. As before.
Woat is the proof? Ans. The same, as in Simple Division.
REDUCTION. What is the process of changing numbers, from one denomination to another, without altering their value, called? Ans. Reduction.
llow does this affect the value? Ans. It does not alter it. '
How do you prove this?. Ans. Take a large piece of paper, and call it one pound, then cut tbis pound into shillings, or 20 pieces, (which is the same as multiplying by 20,) consequently, there are 20 shillings in one pound, or 20 shillings are equal to one pound.
Now take these 20 shillings, and cut them into pence, or 12 pieces each (which is the same as multiplying the 20 shilling by 12 pence,) and count them, there are 240 pieces; that is 240 pence in one pound; hence the value is not altered.
How many kinds of Reduction are there? Ans. Two.
What are they? A. Descending and Ascending.
What is the changing larger denominations into smaller called? Ans. Reduction Descending. Give an example:
Tons into drams, pounds into farthings, &c. : What is it performed hy? Ans. Nuitiplication.
What is the changing smaller denominations inte larger, called? Ans. Reduction Ascending
Give an example. Ans. Drams into tons, fare things into pounds, &c.
What is this pertornied by? Ans. Division.'
In Reduction Descending, how do you multiply the highest denomination given? Ans. By as many 7 of the next denomination as it takes to make one of
What add in? Ans. The next denomination in the sum, if there be any.
How long proceed in this way? Ans. Till it is brought to the denomination required!
What is the proof? Ans. Divide by your last multip ier and so on.
For example; how multiply pounds? Ans. By shillings.
How multiply shillings? Ans. By pence.
What do you multiply by, to bring 25 pounds into farthings?. Ans. By 20s. 12d. and 4 ors.
What to bring one hundred weight into pounds?
What multiply by, to tell how many seconds old you are, allowing 365 days to the year?
What multiply guineas by, to bring them in te shillings? Ans. By 28.
How multipiy to bring 10£, Os. 5d, into farthings?
llow multiply to bring 5 years, 20 days, 15 hours, 30 minutes, and 49 seconds into seconds?
What multiply 360 degrees by to tell how many barley corns will reach round the world?
How divide in Reduction Ascending? - Ans. By as many of that denomination as make one of the next higher.
How long continue to do so? Ans. Till it is brougut to the denomination required.
What denomination is the remainder of? Ans. The dividend. How diride shillings, as a general rule? Ans. By shillings,
How divide pence? An, By pence.
How do you prove Reduction Ascending? Multiply by your last divisor and so on.
How bring 1000 farthiggs into pounds; that is, what divide by?
How bring 1000 pounds into hundred weights?
How bring shillings into guineas, of 23 shillings each?
Low bring shillings into dollars?