0.17 is read 17 hundredths, 0.075 is read 75 thousandths, 2.05 is read 2, and 5 hundredths. 15.605 is read 15, and 605 thousandths. NOTE. In reading a number, never use and except between the ones and the decimal to indicate the decimal point. In writing a decimal without other figures the ones' place may be filled with a zero. 6. 8 tenths; 6 tenths; 4 tenths; 10 and 5 tenths. 7. 3 hundredths; 18 hundredths; 7 and 84 hundredths. 8. 2 thousandths; 24 thousandths; 18 and 217 thousandths. 9. 173 and 64 thousandths; 108 and 7 hundredths. 10. 2147 and 3 tenths; 3 and 48 hundredths. NOTE. Additional exercises should be dictated by the teacher. 23. Notation is writing numbers in figures. 24. Numeration is reading numbers written in fig ures. 25. The method of writing numbers, and the names of units, places, and groups are shown in the following ORDERS OF UNITS ..... TABLE. 9th, 8th, 7th, 6th, 5th, 4th, 3d, 2d, 1st, 1st, 2d, 3d. PLACE-NAMES. Hundred-millions Hundred-thousands Ten-thousands. .. co Thousands. Hundreds . Decimal Point. ✈ Ones. ∞ Hundredths ∞Thousandths FIGURES GROUPS GROUP-NAMES......... 3d, Millions, 2d, Thousands, 1st, Ones, 1st Decimal, Thousandths. The number in the table is five hundred forty million seven hundred ninety-three thousand one hundred fifty-four, and six hundred thirty-eight thousandths. 26. The last place-name in each group is the groupname. The groups above millions are billions, trillions, etc. The decimal groups below thousandths are, millionths, billionths, etc. 27. EXERCISES. Read 24876541.54. Solution. - Beginning at the decimal point, we separate the number into groups, and have 24,876,541.54; then, beginning at the left, we read each group as if it stood alone, adding the groupname, thus: Twenty-four million eight hundred seventy-six thousand five hundred forty-one, and fifty-four hundredths. It is not necessary to add the group-name in reading the ones' group. We read the decimal as if it stood alone and add the place-name of the last figure. Read the following numbers: Write the following numbers in figures: 5. Sixty-three thousand eighty, and seven tenths. 6. Four hundred thousand ninety-one, and twelve hundredths. 7. Three million three hundred, and thirty thousandths. 8. Seven hundred eighty-four, and ninety-six thousandths. 9. Eighty-seven million eighty-seven thousand eighty seven. 10. Nine thousand ninety-nine, and five tenths. 11. Three hundred fifty-eight thousand two hundred six. 12. Nine million sixty-four thousand sixty-six. 13. Eight hundred eight thousand two hundred seven. 14. Ninety-nine thousand, and ninety-nine hundredths. 28. Ten of any order of units make one of the next larger order. ADDITION. 29. Inductive Exercises. 1. I have 3 cents in my right hand and 2 cents in my left. How many shall I have if I put them together? 2. How many books are 3 books and 4 books put together? 3. How many boys are 4 boys and 2 boys? 4. What number do you obtain by uniting 5 ones and 4 ones? 5. What number contains as many ones as 5 and 6 united? 6. How many caps are 4 caps and 6 caps? 7. How many are 3 pencils and 7 pencils? 4 figs and 7 figs? 8. James had 8 cents and found 3 more. How many did he have then? 8 and 3? 3 and 8? 9. A lady had 7 birds in a large cage and 5 birds. in a small cage. She put them all into the large cage. How many did it then contain? 10. How many are 7 ones and 6 ones? 7 tens and 6 tens? 11. There are 6 scholars in one row and 8 in another. How many in both rows? 8 and 6? 6 and 8 ? 12. How many are 4 dollars and 3 dollars? What is one of 4 dollars? One of 3 dollars? What is the unit of each? 30. Like Numbers are numbers having the same unit. Thus, 3, 5, 7; 2 cents and 4 cents are like numbers. 31. Addition is finding a number equal to two or more given numbers. Only like numbers can be added. 32. The Sum, or Amount, is the result of an addition. 33. The Sign of Addition is +, named plus. It means more, and is generally read and. 34. The Sign of Equality is = It means equal, or equal to, and may be read are. Thus, 3+ 4+ 5 12, is read three and four and five are twelve. 35. The Dollar Sign, $, means dollars. Thus, $5 is read five dollars. 36. 1. From the following select the like numbers and add them: 3 quarts, 6 cents, 5 inches, 9 quarts, 4, 8 inches, 17 miles, $8, 7 inches, 14, 3 cents, 2 inches, 2 miles, $16, 5. 2. 64 ? 5+5=? 8+2=? 7+1+3= ? = 3. Add $2, $ 3, and $6. 4. $8, $10, and $4. 5. What is the sum of 2, 3, 5, 6, and 1? 6. Find the amount of 7, 3, 6, and 4. 7. What number is equal to 7 pounds and 4 pounds? 8. By the use of signs write 6 and 3 and 4 are 13. 9. The parts of a number are 4 and 6. What is the number? |