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Ray's New Prac. Arithmetic
"Ray's New Elem. Arithmetic "
"Ray's Elementary Algebra

13 reams Foolscap Paper .

Elem. 7.

Bought of VAN ANTWERP, Bragg & Co.,

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@ $9.60, $

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66

6.00,

4.20,

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66 3.60,

Amount, $353.32

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Into what classes are numbers divided? What is a Simple Number? A Compound Number? When are two numbers of the same denomination? When of different denominations? What is the simplest class of Compound Numbers? Why?

What is United States Money? The denominations? How many units of each denomination make one of the next higher? Give the table. What is a coin? Of what are coins made? Which are made of silver? Which, of nickel? Of gold? What is said of the cent? The trade dollar? Paper money?

How is United States Money written? Why? What place do mills occupy? Cents? Dollars? Eagles? Dimes? How are the dollars separated from cents? How are cents and dimes read? How many places do they occupy? How are dollars and eagles read? What is the rule for numeration of United States Money? What is done when the cents are less than 10? When there are no cents? Give the rule for notation of United States Money.

What is Reduction? How many kinds of Reduction? What are they? Give the rule for addition of United States Money. Proof. The rule for subtraction. Proof. The rule for multiplication. Proof. How divide one sum of money by another? How divide a sum of money into any number of equal parts? What does mean when placed after the quotient? What is a bill? Footing? Receipt? Debtor? Creditor?

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NOTES.-1. The standard of dry measure is the bushel, which is a cylindrical measure 18 inches in diameter, 8 inches deep, and containing 2150 cubic inches.

2. The English quarter contains 8 bushels of 70 pounds each, and is used in measuring grain.

3. The chaldron, used for measuring coal, is employed in England and some of the United States. It contains 36 bushels.

MENTAL EXERCISES.

EXAMPLE.-How many pints are there in 4 quarts?

SOLUTION. Since in 1 quart there are 2 pints, in 4 quarts there are 4 times 2 pints, which is 8 pints.

CONCLUSION.-Therefore, in 4 quarts there are 8 pints.

1. How many pints in 3 quarts? In 5 qt.? In 6 qt.? In 7 qt.?

2. How many quarts in 2 pecks? In 3 pk.? In 4 pk.? In 5 pk.?

3. How many pecks in 2 bushels? In 4 bu.? In 3 bu.? In 5 bu.?

4. How many pecks in 6 bushels? In 9 bu.? In 8 bu.? In 10 bu.?

EXAMPLE.-How many quarts are there in 6 pints? SOLUTION.--Since 2 pints equal 1 quart, 6 pints equal as many quarts as 2 is contained times in 6, which are 3.

CONCLUSION.-Therefore, in 6 pints there are 3 quarts.

5. How many quarts in 4 pints? In 8 pt.? In 12 pt.? In 16 pt.?

6. How many pecks in 8 quarts? In 32 qt.? In 64 qt.? In 24 qt.?

7. How many bushels in 8 pecks? In 32 pk.? In 16 pk.?

8. How many bushels in 12 pk.? In 20 pk.? In 64 qt.?

MODEL SOLUTIONS.

EXAMPLE.-Reduce 177 pints to higher denominations.

SOLUTION. Since 2 pt. make 1 qt., 177 pt. make as many qt. as 2 is contained times in 177,88 qt. and 1 pt. remaining.

Since 8 qt. make 1 pk., 88 qt. make as many pk. as 8 is contained times in 88, 11 pk.

Since 4 pk. make 1 bu., 11 pk. make as many bu. as 4 is contained times in 11,2 bu. and 3 pk. remaining.

OPERATION.

2)177 pt.

8)88 qt. 1 pt. 4)11 pk.

2 bu. 3 pk.

CONCLUSION.-Therefore, in 177 pt. there are 2 bu. 3 pk. 1 pt.

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