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3. Express in figures :

1. Five hundred sixty-four. 2. Seven hundred fifty-nine. 3. Four thousand eighty-one. 4. One thousand two hundred. 5. Twenty-five thousand seven. 6. Forty-one thousand nineteen. 7. Six thousand six hundred six. 8. One hundred thirty-one thousand. 9. Sixty-five thousand four hundred seventy-nine. 10. One million five hundred three thousand five hun

dred ninety-three. 11. Ninety-one million three hundred forty-five thousand. 12. Twelve thousand nine hundred seventy-eight. 13. Thirty-one billion three hundred thirteen million six

hundred seventy-two thousand four hundred eleven. 14. One hundred sixty-four million eighteen thousand. 15. One hundred fifteen quadrillion four hundred forty

four trillion five hundred three billion four million two hundred fifty thousand one.

DECIMAL PARTS OF A UNIT. 1. By placing a mark (.) called the decimal point after units of the first order, the numeration and notation table is extended to express parts of a unit, on the decimal scale :

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The above number is thus read : “ five and five hundred fifty-five thousandths.”

6

2. The decimal point (.) is always read “and.”

6.7 is read “six and seven tenths."
7.89 is read “seven and eighty-nine hundredths.”
.005 is read “five thousandths.” The naughts are

only recognized as giving local value to 5.
1.234 is read “one and two hundred thirty-four thou-

sandths. 3. The decimal point never acts as a period.

EXERCISES.

1. Read : .08, .75, .006, 3.079.
2. Write: Twenty-seven hundredths.

Eleven thousandths.
One and four hundred six thousandths.

Thirteen and twenty-five thousandths.
3. Read : 17.6, 1.76, .196, .144.
4. Write :. Five hundred six thousandths.

Five hundred and six thousandths.
5. Read: 325.72, 325, 32.5, .072.
6. Write: Five hundred four thousandths.

Five hundred and four hundredths.
7. Read: 6.050, 7.200, 872.003, .409.
8. Write: Seven tenths four thousandths,

Nine and seventy thousandths.
9. ·Express“ and” by a sign.
10. What word interprets the decimal point.

11. What is the difference between a decimal point and a period ?

12. Form a number by writing the digits six, seven, eight, nine, and zero, in their natural order; then place the decimal point in all the different positions you can ; finally read, in succession, the different numbers you have thus formed.

13. State the effect of moving the point one place to the right; one place to the left.

14. How many fold does a removal one place increase or diminish the value expressed ?

UNITED STATES MONEY. 1. The currency of the United States has the decimal system.

Table.

10 milis make 1 cent.
10 cents make 1 dime.
10 dimes make 1 dollar.
10 dollars make 1 eagle.

2. $ is the dollar sign, and, prefixed to an abstract number, renders it concrete : 10 becomes $10, read “ ten dollars.”

3. The dollar is the Unit, and the decimal point is invariably placed between the dollars and dimes of any sum of money : $5.60 is read “five dollars and sixty cents,” or “five dollars and six dimes.

EXERCISES.

1. Express in figures nine dollars and twenty-five cents six mills.

Process.

Explanation. ANALYSIS.—Given: nine dollars, twenty-five cents, six $9.256 mills. Twenty-five cents are two dimes and five cents.

The dollar is the unit. SYNTHESIS.— Write the dollar sign, 9, and a point; and after the point 2 dimes, 5 cents, and 6 mills, in their natural order.

2. Express in figures thirty-one dollars and nine cents five mills,

Process.

Explanation. ANALYSIS.—Given: thirty-one dollars, no dimes, nine $31.095 cents, five mills.

PRINCIPLE.O supplies a vacant place. SYNTHESIS.—Write dollar sign, 31, and a point; 0 in dimes' place; and 9 cents and 5 mills in their order.

3. Write six dollars and eighty-five cents. 4. Read $2.235, $202.025, $112.25. 5. Write five hundred dollars and nine cents five mills. 6. Write two thousand dollars. 7. Write forty dollars and four cents. 8. Read $313112.13, $20000.32. 9. Write twelve dollars and five cents six mills. 10. Write six thousand one dollars and one mill. 11. Write seven million dollars and seventy-seven cents. 12. Read $.05, $.03, $.62, $.70. 13. Copy and read the following:

1. $8.53. 2. $13.75. 3. $39.05. 4. $49.31.

5. $236.06.
6. $20000.
7. $2104.083.
8. $6001.102.

9. $796.844. 10. $.16. 11. $.057. 12. $12.500.

14. Write the following:

1. Eight dollars and fifty cents.
2. Two hundred two dollars and two cents five mills.
3. Five dollars.
4. Five hundred dollars.
5. One hundred twelve dollars and twenty-five cents.
6. Four dollars and eighty-seven cents.
7. Ninety-seven cents eight mills.
8. Six hundred twenty dollars and nine cents.
9. Twelve million seven hundred thousand dollars.

10. Three thousand ten dollars and fifty cents.
11. Seventy dollars and ten cents.
12. Six million dollars and eighty cents.
13. Four cents. Ten cents.

Ten cents. Nine mills.

ROMAN NOTATION.

1. This system of notation employs seven capital letters.

I. denotes one,

1.
V. denotes five, 5.
X. denotes ten, 10.
L. denotes fifty, 50.

Table.
C. denotes one hundred, 100.
D. denotes five hundred, 500.
M. denotes one thousand, 1,000.
M. denotes one million, 1,000,000.

2. All other numbers are expressed by combining or repeating these letters:

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From the repetitions and combinations observable above, we derive the following

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