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Seven dollars, eight dollars, and nine dollars, are how many?

Nine cents, three cents, twelve cents, and ten cents are how many?

Four, three, and seven are how many?
Eight, five and three are how many?
Nine, six and two, are how many ?
Seven, five, and six are how many ?
Eight, nine, and two are how many?
Seven, eight, and one are how many?
Eleven, five, and six are how many ?
Ten, seven, and three are how many?

Ten twentieths, six twentieths, and five twentieths are how many twentieths?

One thirteenth of a unit, four thirteenths, and seven thirteenths are how many thirteenths?

One fifth of a dollar, three fifths, and eight fifths are how many fifths?

One ninth of an orange, four ninths, and six ninths are how many ninths?

Seven tenths of an eagle, two tenths, and five tenths are how many tenths?

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Three eighteenths, nine eighteenths, and four eighteenths are how many eighteenths?

Ten thirtieths, six thirtieths, and five thirtieths are how many thirtieths?

Two fourths, six fourths, nine fourths, ten fourths, and five fourths, are how many fourths?

Sixteen halves, five halves, nine halves, and six halves, are how many halves?

Six eighths, four eighths, seven eighths, sixteen eighths, are how many eighths?

The number made by adding several numbers together, is called the sum.

What is the sum of four, six, nine and five?

What is the sum of four tenths, six tenths, and nine tenths?

What is the number made by adding several numbers together called?

SUBTRACTION.

If you take two cents from three cents, how many remain?

If you take three dollars from six dollars, how many remain ?

If you take four dollars from seven dollars, how many remain ?

If you take five eagles from nine eagles, how many remain?

If you take six dimes from ten dimes, how many remain ?

If two tenths are taken from four tenths, how many re. main?

If four ninths are taken from eight ninths, how many remain?

If two tenths are taken from seven tenths, how many remain?

Subtraction is taking one number from another, to find the remainder.

When whole numbers are subtracted it is Simple Subtraction. When fractions are subtracted, it is Fractional Subtraction.

What is the remainder, when four cents are taken from nine cents?

What is the remainder, when three mills are taken from eight mills?

What is the remainder, when seven dimes are taken from twelve dimes?

What is the remainder, when five dollars are taken from ten dollars?

Five from eleven? Seven from thirteen? Eight from twelve? Five from fourteen? Nine from sixteen? Five from twelve? Eight from thirteen? Ten from twenty ? What is the remainder, when two sevenths of an apple are taken from eight sevenths? When four sevenths of a dollar are taken from six sevenths? Eight twelfths from ten twelfths? Three ninths from eight ninths?

What is subtraction? What is simple subtraction? tional subtraction?

What is frac

Ten twentieths from twelve twentieths? Six elevenths from ten elevenths? Seven twelfths from twelve twelfths? Eight ninths from thirteen ninths? Three sevenths from nine sevenths? Four eighths from eleven eighths? Four thirds from twelve thirds? Five twentieths from seven twentieths?

The number which has a number subtracted from it, is called the minuend.

The number which is to be subtracted from another number is called the subtrahend.

If eight is subtracted from twelve, what is the subtrahend and what is the minuend?

If four tenths is subtracted from nine tenths, what is the subtrahend and what the minuend?

If ten cents be taken from thirteen cents, what is the subtrahend, and what the minuend?

MULTIPLICATION.

If you take two cents, three times, what is the amount of the whole?

If

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take three dollars, four times, what is the amount of the whole ?

If you take half of an apple, three times, what is the amount ?

If you take two thirds of a dollar, four times, what is the amount?

If you take two fourths of an eagle, six times, what is the amount?

Multiplication is repeating a number as often as there are units in another number.

If you take five dollars four times, what is the amount? If you repeat four dollars five times, what is the amount? If you take six dollars five times, what is the amount ? If you repeat six dollars six times, what is the amount? Seven times? Eight times?

If you take seven dollars three times, what is the amount?

What is the minuend, and what the subtrahend? What is multiplication?

If you repeat seven four times, what is the amount? Five times? Six times? Seven times?

If you repeat eight twice, what is the amount?

If you repeat eight three times, what is the amount ? Four times? Five times? Six times? Seven times ? Eight times?

If

you repeat nine three times, what is the amount? &c. If you take one fifth of a dollar six times, what is the amount? Seven times? Eight times? Nine times ? If you repeat two sixths of a dollar three times, what is the amount?

If you repeat two sixths of a thing four times, what is the amount? Five times? Six times? Seven times? Eight times?

What is the amount, if four sevenths be repeated four times? Five times? Six times? Seven times? Eight times?

What is the amount if five ninths be. repeated eight times? Nine times? Ten times? Eleven times?

What is the amount, if eight twentieths be repeated seven times? Nine times? Eight times? &c.

The number to be repeated, is the multiplicand.

The number which shows how often the multiplicand is to be repeated, is called the multiplier.

The multiplier and multiplicand together, are called the factors.

The answer obtained is called the product.

If eight is repeated four times what is the product? What is the multiplier? The multiplicand? The fac tors?

If three sixths are repeated four times what are the factors? The multiplier? The multiplicand?

If you take a fourth of twelve and repeat it three times, what is the multiplicand? The multiplier? The product?

If you take a sixth of eighteen and repeat it three times, what is the product? Factors? Multiplier? Multiplicand?

What is the multiplicand and what the multiplier? What are the multiplicand and multiplier together called? What is the answer called?

Simple Multiplication is where both factors are whole numbers.

Fractional Multiplication is where one or both factors are fractions.

If twelve is repeated four times, is it simple or fractional multiplication?

If one fourth of twelve is repeated three times, is it simple or fractional multiplication? If one sixth is repeated seven times, which kind of multiplication is it?

Exercises in Simple Multiplication.

1. If a man spends three dollars a week, how much does he spend a month?

Let the pupil state the sum in this manner.

As there are four weeks in a month, a man will spend four times as much in a month, as in a week; four times three is twelve. He will spend twelve dollars.

Let all the following sums be stated in the same way. Both teachers and pupils will find great advantage in being particular to follow this method of stating.

2. If a man spend five dollars a month, how much does he spend in a year?

3. If a man can make eight pens in a minute, how many can he make in ten minutes?

4. If one orange cost six cents, what cost eight oranges?

5. Eight boys have seven cents apiece, how much have all?

6. There is an orchard in which there are six rows of trees, and seven in each row, how many trees in the orchard?

7. The chess board has eight rows of blocks, and eight blocks in each row, how many blocks in the whole ?

8. Twelve young ladies have each five books apiece, how many have they all?

9. If a young lady spends six cents a week, how much does she spend in a month?

10. There are nine desks in a school room, and six scholars at each of the desks, how many are in the room? 11. There are in a window five rows of panes of

What is simple multiplication? What is fractional multiplication?

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