FORM.-The formula and proof are the same as in simple subtraction.

EXAMPLES FOR PRACTICE.

46. From ten thousand, take ten thousandths. 47. From ten millions, take ten millionths.

48. From five hundred, take five hundredths.

49. From eight hundred thousand, take eight hundred-thou sandths.

50. From five tenths take five hundredths.

51. From five hundred-thousandths, take five millionths.

52. From eleven, take eleven tenths.

53. From 113, take 113 tenths.
54. From 417, take 1347 millionths.

55. From 8 tenths, take 436 thousandths.

56. From 297 take 4138 thousandths.

57. From 480 thousandths, take 483 ten-thousandths.

58. From one, take 3718643 ten-millionths.

59. From two, and 347 thousandths, take 4374 millionths.

60. From 341, and 389 millionths, take 39, and 507 ten-millionths.

61. From 4307.486, take 430, and 6708 millionths.

62. From 30700.4101, take 20007, and 89 ten-millionths.

63. From 3701.2, take 483, and 674 ten-millionths.

64. From 2.071, take 5678 ten-thousandths.

65. From 46.21, take 896 ten millionths.
66. From 2.6701, take 3472 billionths.
67. From .0000837, take 280 billionths.
68. From one, take .0470864.
69. From two, take 1.870864.
70. From 800, take .39040004.
71. From 300, take .000800801.
72. From 6001, take 40.683041.
73. From 8602, take 304.40702.

REVIEW.-What is U. S. money? (63.) Recite the table. (63., a.) Which are the gold coins? (64., a.) Which are the silver? (64., b.) Which are the nickel? (64., c.) Which are the copper? (64., d.) What is the decimal point? (65.) What is reduction of U. S. money? (66.) Recite the rules for reduction descending. (66., a.) For reduction ascending. (66., b.)

74. From 6801.40, take .0083042. 75. From 5607.0008, take .900087. 76. From 3000000, take 3 millionths.

77. From 50000, take 50 thousandths.

78. From 5786 tenths, take 3786 hundredths.

79. I owned a house worth $46.3074, and sold it for $30.40 less than it was worth; what did I receive for it?

LESSON VII.

EXAMPLES COMBINING ADDITION AND SUBTRACTION OF
DECIMALS.

80. Three men bought a farm for $9407: the first paid $2672.634; the second paid $3089.407; and the third, the remainder how much did the third pay ?

81. A grocer bought 275.3 pounds of butter of one farmer, and 318.34 lb. of another; he afterwards sold 210.3 lb. to one customer, and 97.567 to another; how many pounds had he remaining?

82. A farmer had 1864.3 bu. of wheat and 1129.47 bu. of corn; he sold 1340.24 bu. of wheat and 1000.32 bu. of corn; how many bushels of each had he remaining?

83. A merchant buys 245.4 yd. of cloth of one person, 125.37 yd. of another, 1183 yd. of another; and then sells 803.40703 yd.; how many yards has he remaining?

84. The difference of two numbers is 9068.42; the less is .480702; what is the greater?

85. The difference between two numbers is .30702; and the greater number is 490.70; what is the smaller?

86. 9076.402 added to a certain number makes 47002.865; what is that number?

Who is the

When is a
What is a

REVIEW.-What are bills? (71.) Who is the debtor? (71., a.) creditor? 71., b.) When is a bill said to be an account? (71., c.) revenue stamp used? (71., d.) What is a simple number? (72.) compound number? (73.) What is the reduction of denominate numbers? (74.) What is reduction descending? (75.) What is reduction ascending? (76.)

87. 40702.864 added to a certain number makes 40702.865; what is that number?

88. 4670.242 subtracted from a certain number leaves a remainder of 670.4012; what is that number?

89. The difference of two numbers is 30.21; the greater is 467.4; what is the sum of the numbers?

LESSON VIII.

163. MULTIPLICATION OF DECIMALS.

Multiply 304.32 by 24.4124.

NOTE.-The operation may be contracted by dropping the figures at the right of the perpendicular line. Their value will not materially affect the result.

FORM.-1. For convenience, the numbers are written so that units will stand in the column of units, tens in the column of tens, tenths in the column of tenths, &c.

2. For convenience, begin to multiply with the right hand figure.

3. 4 ten-thousandths of* 2 hundredths are 8 millionths; write 8 in the place of millionths.

4. 4 ten-thousandths of 3 tenths are 12 hundred-thousandths, equal to 1 ten-thousandth and 2 hundred-thousandths; write the 2 hundred-thousandths in the place of hundred-thousandths, and add the 1 ten-thousandth to the product of the ten-thousandths.

*NOTE.-Of here signifies times, and is used for it, when the multiplier is a frac

tion.

REVIEW.-What is English money? (77.) Recite the table. (77., α.) Name the gold coins. (78, a.) Name the silver coins. (78., b.) Name the bronze coins. (78., c.) What is the Canada currency? (78., d.) What is the franc? (78., e.)