Those denominations which have the asterisk, (as the Pistole of France, and the Milre of Portugal,) are merely nominal; that is, they are represented by no In this respect, they are like the Mill in Federal Money.

real coin.

A TABLE OF SCRIPTURE WEIGHTS, MEASURES AND MONEY.

ARITHMETIC.

PART FIRST.

Arithmetic is the science of numbers.
A unit is a whole thing of any kind.
A fraction is a part of a thing.

Thus a dollar is a unit; a man is a unit; a picture is a unit; a bushel of apples is a unit, &c.

A half of an apple is a fraction; a quarter of a dollar is a fraction; a third of a loaf of bread is a fraction, &c. Let the pupil mention other units and fractions.

If an apple is cut into two equal parts, each part is called one half of the apple. If it is cut into three equal parts, each part is called one third. If it is divided into four equal parts, each part is called one fourth. If it is divided into five equal parts, each part is called one fifth, &c.

If a unit is divided into six equal parts, what is one of those parts called? If a unit is divided into seven equal parts, what is one of those parts called? If a unit is divi. ded into eight equal parts, what is one of those parts. called? Into nine? Into twenty? Into an hundred ? Into fifteen? Into twenty-two?

How many halves make one unit? How many thirds make one unit? How many fourths? How many fifths? How many sixths? How many sevenths? How many eighths? How many ninths? How many tenths? How many twentieths? How many hundredths?

For illustrating the exercises which immediately follow, the teacher should be provided with a proper number of the several coins of the U. S. viz: eagles, dollars, dimes, cents and mills. As mills have never been coined, round bits of stiff paper may be employed to represent them. The pupil should first see the several coins and learn the value of them.

What is arithmetic? What is a unit? What is a fraction? Mention a unit and a fraction.

How many mills make a cent? What part of a cent is one mill ? What part of a cent is two mills? What part of a cent is three mills? What part of a cent is four mills? What part of a cent is five mills? Seven mills? Eight mills? Nine mills?

Six mills?

How many cents make a dime? One cent is what part of a dime? Two cents is what part of a dime? Three cents is what part of a dime? Four cents is what part of a dime? Five cents? Six cents? Seven cents? Eight cents? Nine cents?

How many dimes make a dollar? What part of a dollar is one dime? What part of a dollar is two dimes? What part of a dollar is three dimes? Four dimes? Five dimes? Six dimes? Seven dimes? Eight dimes?

Nine dimes?

How many dollars make an eagle? One dollar is what part of an eagle? Two dollars is what part of an eagle? Three dollars? Four dollars? What part of an eagle is five dollars? Six dollars? Seven dollars? Eight dollars? Nine dollars?

The same thing may be considered sometimes as a unit and sometimes as a fraction—thus, one dollar is a unit or whole thing of the kind or order called dollars, and one dollar is also the tenth part of an eagle, or the fraction of an eagle. One cent is a unit or whole thing, of the order of cents, and one cent is also the tenth part of a dime, or the fraction of a dime. One mill is a unit of the order of mills, and one mill is the tenth part of a cent, or the fraction of a cent. One day is a unit or whole thing of the order of days, and one day is also the seventh part of a week, or the fraction of a week. One week is a unit or whole thing of the order of weeks, and one week is the fourth part of a month, or the fraction of a month. One month is a unit or whole thing of the order of months, and one month is also the twelfth part of a year, or the fraction of a year.

Of what order is one dollar a unit? Of what order is it

Of what

a fraction? Of what order is one cent a unit? order is it a fraction? Of what order is one week a unit ? Of what order is it a fraction? Of what order is one foot a unit? Of what order is it a fraction? One day is a unit, of what order, and a fraction of what order, &c.? What is half of four cents? What is a third of six cents?

Let the pupil take six cents, and divide them into three equal portions, and then tell what is one of these parts? What is a fourth of eight cents? Let the pupil divide eight cents into four equal portions, and tell how many in each portion.

There are twice six cents in twelve cents, what part of twelve is six cents?

There are three times four cents in twelve cents, what part of twelve is four cents?

There are three times five cents in fifteen cents, what part of fifteen is five cents?

There are three times three in nine, what part of nine is three?

The are two times three in six, what part of six is three?

There are four times two in eight, what part of eight is two?

There are four times three in twelve, what part of twelve is three ?

There are five times six in thirty, what part of thirty is

six?

There are three times seven in twenty-one, what part of twenty-one is seven?

There are four times six in twenty-four, what part of twenty-four is six?

There are six times seven in forty-two, what part of forty-two is seven ?

What part of twelve is three? Is four?

What part of fifteen is three?

What part of nine is three?

What part of sixteen is four?

Is five?

What part of eighteen is three? Is six?
What part of twenty-one is three?
What part of twenty-four is six?

Is seven!
Is four?