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REDUCTION

2. 4.8,

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7 26

19. 709060 20. 10 000

162

3 9 6 4

3 84

84

709

36

21.

956

LESSON 68 Read: 1. .8 4. 32.04

7. 300.764 5. 28.607

8. 672.009 3. 4.26 6. 90.901

9. 306.3067 Express in decimal form: 10. 2%=.29

.029 16.

1000 11. 16

14.
1000

17.

10000
12.
100

15.
1000

18.
10000

100000 Express in fractional form: 22. .4=1 25. .05=160

28. .005

31. .90006 23. .28 26. .65

29. .0007

32. .01061 24. .98 27. .061

30. .0906 33. .05061 Express in decimal form: Express in fractional form: 34. 51=5.3 38. 1461050 42. 8.4=84 46. 92.031

416
43. 7.7

124.107
40. 169_3081
100000
44. 29.36

48. 167.0101 37. 27-47 100 41. 326-9001 100 000

45. 84.002 49. 240.0081

47.

35. 87 36. 91

LESSON 69

Annexing ciphers to the right of a decimal does not change the value of the decimal. Thus,

.5 = po: .50 = 30%= ; .500 = Bobo 1. Change .35 to a common fraction in its lowest terms.

MODEL. .35 = = Ans. 2. .45 4. .55 6. .125

8. .008 10. .0065 3. .48 5. .75

7. .045

9. .0125 11. .0075

12. Change 8.05 to a mixed number in its simplest form.

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Х

13. 7.25
15. 7.03
17. 8.005

19. 9.0055 14. 8.35 16. 9.18 18. 7.105

20. 7.1005 21. Change .44 to a common fraction in its lowest terms.

12

1

44 - 24 24 MODEL. 4 =

12

Ans.
10
10

10 5 25

5 22..61 24. .081 26. .163 28. .371

30. .663 23. .064 25. .121 27. .33} 29. .622 31. .873 32. Change 9.84 to a mixed number in its simplest form.

7
8}
1

7
MODEL. 88

17 등 9 + } = 9; Ans. 10 10

35

=

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Х

4

33. 9.63 34. 7.01

35. 8.73
36. 7.081

37. 9.372
38. 17.163

39. 12.04 40. 13.10

LESSON 70

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1. Change to a decimal.
is the same as f of 3. OPERATION. S= } of 3 = 8)3.000

Ans. 3 units 30 tenths. } of

.375 30 tenths = 3 tenths and 6 tenths remaining. 6 tenths 60 hundredths, 1 of 60 hundredths = 7 hundredths and 4 hundredths remaining. 4 hundredths 40 thousandths, 1 of 40 thousandths 5 thousandths. Hence, when reduced to the decimal form, 3 tenths + 7 hundredths + 5 thousandths, or .375.

Frequently the division will not terminate, and the common fraction cannot be exactly expressed decimally.

1 11.

40 12.

2 40

81

125 15.

11 400

18.

141 400

In such cases the remainder is usually expressed by a common fraction. Thus, $ = 2 + 7 =.2854.

Change to decimals : 2. ) 5. 8. ]

17. 288 20. 218 3. } 6. 9. 27

21. 376 4. 1 7. 10.3 13. 2 16.15 19. 72 22. 236

Memorize the decimal equivalents of the following common fractions : 23. =.5

29.
.4

Q = .371 24. }=.331

.6

R=.621 25. = .663 31. 8

37. = .871 26. 1 = .25

32. d= .163 38. i = .081 27. 4=.75

33.5 .83} 39. .413 28. = 2 34. = .12

:.061

35.

30.

36.

1

40.

16

LESSON 71

1. Change to decimals: 25, 35, 31, 32, 15, 16, 15.

2. Change to common fractions in simplest form : .36, .44, .96, .096, .816, .486, .375.

3. Change to decimal form: 40%, 106106, 18866 4. Express in decimal form: 710, 29187, 46187, 288003%

5. Express as common fractions in lowest terms: .64, .84, .212), .0874, .4333.

Change to mixed numbers in simplest form : 8.53, 9.054, 6.310, 16.184, 7.00.1, 5.164.

7. Name the numerators of the following decimals : .5, .06, .54, .004, .406, .362, .0006, .0042.

8. Name the denominators of the following decimals: .8, .05, .63, .007, .309, .532, .0009, .0076, .11, .061, .663, .5013, .64304

6.

9. Read : .50106, 9.20, .020, 90.0057, 500.005 .00600, 2.0002, .2222, .02002.

10. } of 4 equals how many tenths ?

11. .71 = how many hundredths ? 1 = how many hundredths ?

12. State the value of each in hundredths : }, ž, 1, 4, 5, 3, 3, , 12, 12, 12, 16, 8%, 3}%, .3}, 372%, 622%, 6.2).

ADDITION

LESSON 72

1. Find the sum of 18.3, .04, 2.106, and .0051.

OPERATION Since only similar units can be added, we write 18.3 tenths in one column, hundredths in another, and .04 thousandths in another, etc., and add and carry as in 2.106 whole numbers.

.0051

20.4511 Ans. Find the sum of: 2. 3.42, .006, .41, 46.81, and 281.004. 3. .08, 1.641, 1.71, 72.301, 463.1, and .0004. 4. 1.665, .3842, 78.005, .5101, 84.3, and 91.91. 5. .006, 4.001, 3.8406, .004, 9.2, and .31365.

6. Find the sum of 8 tenths, twenty-one hundredths, 16 thousandths, 31 ten-thousandths, 62 millionths.

7. Find the sum of 9, and 3 tenths; 42, and 16 hundredths; 33 thousandths; 18, and 5 thousandths; 21, and 21 ten-thousandths; 160, and 316 ten-thousandths.

8. Write and add : six thousand, and six thousandths; seven hundred five, and seventeen hundredths; ninety, and nine millionths; eight hundred forty hundredthousandths.

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OPERATION

1. From 92.61 take 84.006.

The minuend and subtrahend are written so that units of the same order stand in the same column.

92.610 When the number of decimal places in the subtrahend

84.006 exceeds the number in the minuend, ciphers are generally annexed to the minuend to make them equal.

8.604 Ans. Subtract: 2. 18.03 from 32.06

10. .99999 from 1.1 3. .0101 from 29.1

11. 5.00001 from 6.09 4. 260.009 from 381.064 12. $10 – $2.87} =? 5. 38.406 from 182.606 13. $8 = $7.99] =? 6. 1.666 from 3.009

14. $ 100 – $.621 = ? 7. .8460 from 9.4

15. 400 – .66=? 8. 3.8749 from 16.001 16. .301 – .25{ =? 9. 4.9999 from 5.0014 17. 340.1 – 96 - 9 = ? 18. From 4 hundred and 4 hundredths take 399 and 99 hundredths.

19. From 6060 and 606 millionths take 24 and 79 tenthousandths.

20. From 6.05 take 4.0075. From 1.1 take .9099.

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