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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:
13. 6850000 16. 100370400
Observe that: naughts are enumerated but never read; that and is
29. Sixty billion one hundred one million one thousand
30. Forty million four.
33. Eight hundred million two hundred twenty-eight
34. One billion nine hundred million one thousand nine