67. Name the numbers that can be expressed by a single

figure.

68. Name or write each number less than 100 that ends in 1; that ends in 3.

69. Write all the numbers less than 100 that end in 0; all that end in 5.

70. Write in Roman numerals the decades to 100 that end in 0; in 4; in 5.

71. Resolve 12 by 6's.

Ans. 12

6+6, or 6 × 2.

72. In the same way, resolve 24 by 6's; 30 by 5's.

73. Resolve 9, 12, 18, 15, 27, each by 3's.

74. Resolve 3 by 's; by 's; by 1's.

75. Resolve 6 into all its equal parts.

Ans. 61+1+1+1+1+1; 6 = 2+2+2; 6 = 3+3.

76. Resolve 8, 10, and 12, each into its equal parts.

of 18; 24.

77. What are the factors of 10? Of 15? Of 21? 78. Name three factors each of 8; of 12; 79. How many feet in 2 yd.? In 4 yd. ? 80. How many years in 2 centuries? In 81. How many months in 2 yr.? In 2 yr. 6 mo. ? In 2 yr.? 82. How many bushels in 12 pk.? In 20 pk. ? In 40 pk.?

In yd. ?
century?

NOTATION AND NUMERATION.

1. 1. How many rows of blocks are shown in this picture? 2. How many blocks in each row? How many in all? 3. Ten times 10 blocks are how many? 10 x 10

= ?

4. How many tens in one hundred? How many units? 5. What does 1 denote when it stands alone?

6. What does it denote with one 0 on the right of it?

7. What does it denote with two 00 on the right of it? 8. How do we express one hundred in figures?

9. Count 100 by 10's; by 5's.

10. Express 2 tens or twenty by figures, and by Roman numerals. Also,

11. 20 tens, or two hundred.

12. 30 tens, or three hundred. 13. 40 tens, or four hundred. 14. 50 tens, or five hundred.

19. What is the least number that can be expressed by three figures? The greatest?

20. The numbers from one hundred to nine hundred ninety-nine are represented by writing the hundreds in the third place from the right, the tens in the second place, and the units in the first place.

2. 1. What does any figure standing alone express? 2. When two figures are written together, what does the one on the right express? The one on the left?

3. When three figures stand together, what is the one on the right called? The next one? The one on the left?

4. What do the figures 156 represent?

Ans. 1 hundred 5 tens and 6 units, and is read one hun dred fifty-six.

5. What do the figures 427 denote?

Ans. 4 hundreds 2 tens 7 units, read, four hundred twenty

seven.

6. In the same manner read the following, naming the hundreds, tens, and units in each:

7. How many units in 200? How many tens? How many

hundreds?

8. How many tens in 210? In 220? In 340? In 450 ? 9. How many units in 225? How many tens and units? How many hundreds, tens, and units?

10. 10 units = 1 ten; 10 tens = 1 hundred.

11. When no number is named for any place, fill the place with a cipher; thus, seven hundred six is 7 hundred, no tens, and 6 units, and is written 706.

12. Nine hundred eighty is 9 hundred, 8 tens, no units, and is written 980.

13. How many units make 1 ten? 1 hundred? 14. How many units are 7 tens and 9 units?

15. How many tens are 4 tens and 5 tens?

16. How many hundreds are 3 hundreds and 4 hundreds? How many tens? How many units?

Express in one number, by figures, each of the

following:

17. 4 tens, 6 units, and 5 hundreds.

18. 5 units, 8 hundreds, and 4 tens.

Hund.

Tens.

Units.

546

845

19. Six hundreds, eight units, and 5 tens. 20. Seven tens, no hundreds, and six units. 21. Four units, no tens, and 5 hundreds.

658

076

504

22. Nine tens, seven hundreds, and no units. 23. Eight hundreds, no tens, and no units.

790

800

Write the following numbers in columns, placing units under units, tens under tens, and hundreds under hundreds:

24. 366, 48, 104, 261, 407, 39, and 7.

25. 59, 116, 204, 16, 320, 40, and 10.

26. 730, 126, 75, 109, 18, 638, 49, 500, and 9. 27. 84, 907, 17, 300, 250, 199, 29, and 403.

28, 106, 480, 36, 500, 267, 39, and 50.

3. 1. In the picture there are 100 small blocks in the top row or layer. How many hundred blocks are there in 2 rows or layers?

2. How many hundred blocks in 3 rows? In 4 rows?

3. How many rows of blocks are represented? How many blocks in a row? How many blocks in the cube?

4. 999 and 1 more equal one thousand, 1000. 5. How do we express one thousand by figures?

6. In like manner, represent by figures:

Two thousand.

Three thousand.

Four thousand.

Five thousand.

Six thousand.

Seven thousand.
Eight thousand.

Nine thousand.

7. In any number expressed by four figures, the figure at the right is units, the next is tens, the next hundreds, and the fourth figure from the right is thousands.

8. What do the figures 2345 represent?

Ans. 2 thousands 3 hundreds 4 tens 5 units, read, two thousand three hundred forty-five.

9. What do the figures 1040 represent?

Ans. 1 thousand no hundreds 4 tens no units; read, one thousand forty.