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Exercise 1

1. Name the first nine numbers.

2. Nine and one combined form what number?

3. Name the tens.

4. State how the tens are expressed by figures.

5. How many numbers are there between ten and twenty?

6. The numbers between ten and twenty are formed by uniting with ten what numbers in turn?

7. With what number are the numbers from one to nine inclusive united to form the numbers between twenty and thirty?

8. State how the numbers between thirty and forty are formed; between eighty and ninety.

9. A number consisting of tens and units is expressed by how many figures?

10. In a number of two figures the left-hand figure expresses the number of what?

II. Ten tens combined form what number?

12. Name the hundreds.

13. How are the hundreds expressed by figures ?

14. How many numbers are there between one hundred and two hundred ?

15. A number consisting of units, tens, and hundreds is expressed by how many figures?

16. In a number of three figures, the first, counting from the right, expresses the number of what? the second? the third?

17. In 276 for what number does the 2 stand? the 7? the 6?

18. In a number of three figures what figure is written in tens' place when the number contains no tens? What figure is written in units' place when the number contains no units?

19. Write the number consisting of three units of the first order and two of the second.

20. Write the number consisting of five units of the first order, two of the second, and three of the third.

21. Write the number consisting of five units of the first order and one of the second.

22. Write the number consisting of eight units of the third order and four of the second.

23. Name the number made up of eight hundreds, five tens, and six units.

24. Name the number made up of four hundreds and

seven tens.

25. Name the number made up of nine hundreds and three units.

21. Ten hundreds make a thousand. Thousands are numbered from one to nine hundred ninety-nine inclusive. Ten thousands make a ten-thousand; ten ten-thousands make a hundred-thousand.

Exercise 1

1. Name the first nine numbers.

2. Nine and one combined form what number?

3. Name the tens.

4. State how the tens are expressed by figures.

5. How many numbers are there between ten and twenty?

6. The numbers between ten and twenty are formed by uniting with ten what numbers in turn?

7. With what number are the numbers from one to nine inclusive united to form the numbers between twenty and thirty?

8. State how the numbers between thirty and forty are formed; between eighty and ninety.

9. A number consisting of tens and units is expressed by how many figures?

IO. In a number of two figures the left-hand figure expresses the number of what?

II. Ten tens combined form what number?

12. Name the hundreds.

13. How are the hundreds expressed by figures?

14. How many numbers are there between one hundred and two hundred ?

15. A number consisting of units, tens, and hundreds. is expressed by how many figures?

16. In a number of three figures, the first, counting from the right, expresses the number of what? the second? the third?

17. In 276 for what number does the 2 stand? the 7? the 6?

18. In a number of three figures what figure is written in tens' place when the number contains no tens? What figure is written in units' place when the number contains no units?

19. Write the number consisting of three units of the first order and two of the second.

20. Write the number consisting of five units of the first order, two of the second, and three of the third.

21. Write the number consisting of five units of the first order and one of the second.

22. Write the number consisting of eight units of the third order and four of the second.

23. Name the number made up of eight hundreds, five tens, and six units.

24. Name the number made up of four hundreds and seven tens.

25. Name the number made up of nine hundreds and three units.

21. Ten hundreds make a thousand. Thousands are numbered from one to nine hundred ninety-nine inclusive. Ten thousands make a ten-thousand; ten ten-thousands make a hundred-thousand.

22. Thousands, ten-thousands, and hundred-thousands are called, respectively, units of the fourth, fifth, and sixth orders and are written in the fourth, fifth, and sixth places on the line of notation; unit-thousands in the fourth place, ten-thousands in the fifth place, and hundred-thousands in the sixth place. Thousands are followed by three ciphers, occupying the hundreds', tens', and units' places.

23. If each number less than one thousand is united in turn with one thousand, the numbers from one thousand to one thousand nine hundred ninety-nine are formed; if united with two thousand, the numbers from two thousand to two thousand nine hundred ninety-nine are formed; and so on until the numbers from nine hundred ninety-nine thousand to nine hundred ninety-nine thousand nine hundred ninety-nine are formed.

24. A number consisting of thousands, hundreds, tens, and units is expressed by writing after the number of thousands, the number of hundreds, the number of tens, and the number of units. If units of If units of any order are wanting, a cipher must be written in that order's place.

Thus, 375,845 expresses three hundred seventy-five thousand eight hundred forty-five, and 40,701, forty thousand seven hundred one.

25. The system of grouping and representing numbers which is in general use and which is based on the number ten, is called the decimal system. In the decimal system of notation, ten units of any order make one unit of the next higher order.

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