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CHAPTER I.

I. WHOLE NUMBERS.

1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 or zero, commonly called

nought.

Mention the first four Rules in Arithmetic.

Addition, Subtraction, Multiplication, and Division.

What rules follow these?

Reduction, Rule of Three, Practice, &c.

What does Addition teach us?

How to add several numbers into one sum.

What does Subtraction teach us?

How to take a less number from a greater.

What does Multiplication teach us?

What is the amount of a number when taken as many
times as is denoted by some other number.

What do you call the number which is to be multiplied?

[blocks in formation]

What do you call the number by which you multiply?

The Multiplier.

What do you call the sum that results from the multiplication? The Product.

What does the Product express?

The sum or amount of the multiplicand when taken as

many times as is denoted by the multiplier.

What may Multiplication be said to be?

A short method of Addition.

But can any sum in Addition be shortened by using Multiplication instead?

No: this can only be done when all the numbers to be added happen to be equal to each other.

Explain this by an example.

Suppose we add four sixes together: then 6 + 6 + 6 + 6 =24; or by multiplication 6 × 4 = 24.

What does Division teach us?

How many times a number is contained in another
number.

What do you call the number which is to be divided?
The Dividend.

What do

you

call the number by which you divide?

The Divisor.

What is the Result called?

The Quotient.

What does the quotient tell us?

How many times the divisor is contained in the dividend If the divisor does not exactly measure the dividend, what shall we have?

A remainder.

When does a less number "measure" a greater?

When it is contained in it a certain number of times with

out any remainder.

Give instances.

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