7. A figure used alone has only a simple name and value; but, when used with other figures, it has also a place-name and value.

8. When two figures are used to express a number, the figure in the first, or right-hand, place has the place-name ones, and the figure in the second place has the place-name tens. Thus,

10 is 1 ten, 0 ones, or ten.

23 is 2 tens, 3 ones, or twenty-three.
46 is 4 tens, 6 ones, or forty-six.

99 is 9 tens, 9 ones, or ninety-nine.

10 ones make 1 ten.

9. When three figures are used to express a number, the figure in the third, or left-hand, place has the placename hundreds; the figure in the second place, tens; and that in the first, ones. Thus,

100 is 1 hundred, 0 tens, 0 ones, or one hundred.

280 is 2 hundreds, 8 tens, 0 ones, or two hundred eighty. 672 is 6 hundreds, 7 tens, 2 ones, or six hundred seventytwo.

948 is 9 hundreds, 4 tens, 8 ones, or nine hundred fortyeight.

10 tens make 1 hundred.

10. When four figures are used to express a number, the place-name of the fourth, or left-hand, figure is thousands, the place-names of the other three figures being hundreds, tens, ones, as before. Thus,

1000 is 1 thousand, 0 hundred, 0 tens, 0 ones, or one thousand.

2300 is 2 thousand, 3 hundred, 0 tens, 0 ones, or two thousand three hundred.

4560 is 4 thousand, 5 hundred, 6 tens, 0 ones, or four thousand five hundred sixty.

7895 is 7 thousand, 8 hundred, 9 tens, 5 ones, or seven thousand eight hundred ninety-five.

10 hundreds make 1 thousand.

Write in figures the following numbers:

7 Sixty-four; eighty-seven; twenty-two; ninety. 8. Three hundred sixty-two; four hundred eleven. 9. Eight hundred ninety; seven hundred eighty-eight. 10. Six hundreds, four tens, seven ones.

11. Two thousand one hundred twelve.

12. Four thousand six hundred eighty-one.

13. Eight thousand nine hundred twenty-four.

14. Seven thousand seventy-nine.

15. Nine thousands, four hundreds, six tens, three ones.

NOTE. The teacher will dictate additional numbers.

13. Orders of Units are the successive units formed by taking together ten ones, ten tens, ten hundreds, and

Hundreds are units of the third order;
Thousands are units of the fourth order;

and so on.

14. When five figures are used to express a number, the left-hand figure represents units of the fifth order, and has the place-name ten-thousands. Thus,

10000 is 1 ten-thousand, or ten thousand.
20000 is 2 ten-thousands, or twenty thousand.
60000 is 6 ten-thousands, or sixty thousand.

10 thousands make 1 ten-thousand.

1. In 34567 which figure expresses thousands? Which hundreds? Which ten-thousands?

2. In 54907 which figure expresses units of the fourth order? Which units of the fifth order?

15. When six figures are used to express a number, the left-hand figure represents units of the sixth order, and has the place-name hundred-thousands. Thus,

100000 is 1 hundred-thousand.

400000 is 4 hundred-thousand.

700000 is 7 hundred-thousand.

10 ten-thousands make 1 hundred-thousand.

16. The fifth and fourth order of units and the sixth, fifth, and fourth order of units are usually read together as so many thousands.. Thus,

93000 is read ninety-three thousand.

764000 is read seven hundred sixty-four thousand.

17. A Group, or Period, is each successive three orders of units, beginning with ones.

The Group of Ones contains the ones, tens, and hundreds.

The Group of Thousands contains the ones, tens, and hundreds of thousands.

The comma may be used to separate groups. Thus, 796,843 is read seven hundred ninety-six thousand eight hundred forty-three.

3. In 436897 which figure expresses units of the sixth order? Which hundred-thousands?

4. In 834768, which figures make the ones' group? 5. In 689432, which figures make the thousands' group?

Write the following numbers in figures:

5. Sixty-four thousand eight hundred twenty-one. 6. Eighty-one thousand four hundred sixty-nine. 7. Ninety-eight thousand forty-four.

8. One hundred ten thousand one hundred ten. 9. Two hundred forty-six thousand eighty-nine. 10. Seven hundred eighty-eight thousand eleven.

NOTE. The teacher will dictate additional numbers.

19. A Decimal is a number written at the right of the ones' place.

20. A point (.), called the decimal point, is always written at the left of a decimal, and separates it from the ones' figure.

21. The first order at the right of the point is tenths. The second order at the right of the point is hundredths. The third order at the right of the point is thousandths. Thus,