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INTERMEDIATE ARITHMETIC

1

PART I– FIFTH YEAR

REVIEW OF NOTATION AND NUMERATION

1. In 364 for what does the 4 stand ? the 6 ? the 3 ? 364 = 3 hundreds, 6 tens, 4 ones.

2. Tell for what each figure stands in 2475. Read the number.

Each figure has a value that depends upon its place in the number. The first place beginning at the right of a number is called ones' place; the second, tens' place; the third, hundreds place; the fourth, thousands' place, etc.

3. Show that the left-hand 2 in the number 222 has a value, because of its place, that is 10 times the value of the middle 2, and 100 times the value of the right-hand 2.

When a number contains more than three figures, it is separated into groups or periods of three figures each, beginning at the right. The names of the places in each period are the same. The name of the first period is units; of the second period, thousands; of the third, millions; and of the fourth, billions.

4. In the number 864,203,614,869, what name is given to the period 864 ? to the period 203 ? to 614 ? to 869 ?

Notation is a method of writing numbers by means of symbols.

Numeration is a method of reading numbers represented by symbols.

Beginning at the right, mark off into periods, and then read:
5. 2439 8. 75865 11. 405682 14. 15785639
6. 3750 9. 775570 12. 1405600 15. 155689375
7. 4005 10. 205605

13. 6850000 16. 100370400

Observe that: naughts are enumerated but never read; that and is
never read between integers; and that the first period is simply read but
not named, thus 375 is read three hundred seventy-five.

Write:
17. 6 thousand 3 hundred 75.
18. 10 thousand 4 hundred 6.
19. 150 thousand 5 hundred 25.
20. 5 million 825 thousand 5 hundred 4.
21. 205 million 25 thousand 3.
22. 200 million 22 thousand 60.
23. 5 billion 600 million 27 thousand 9.
24. 105 million 5 thousand 5.
25. 8 hundred million 8 thousand 85.
26. Ten thousand ten hundred ten.
27. Five hundred million two hundred fifty.
28. Six million six thousand six.

29. Sixty billion one hundred one million one thousand
five hundred seventy-nine.

30. Forty million four.
31. 8 hundred million 8 thousand one hundred.
32. Ninety million six hundred thousand nine hundred two.

33. Eight hundred million two hundred twenty-eight
thousand two hundred one.

34. One billion nine hundred million one thousand nine
hundred fifty-four.

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