DRILL TABLE No. 3. (See Supplement, Art. 1.) 119. For supplementary practice in multiplication. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 e 2 1 2 3 f 1 3 1 6 3 7 2 4 5 9 d 3 3 5 4 4 0906 3 3 1 7 1 8 3 e g 2 2 2 4 3 0 h1 41 82 84 9 1 9 i2 5 2 1 2 7 6 2 4 4 j1 11 8 1 9 1 8 2 6 k 2 1 2 4 3 6 6 1 508 5 7 0 71 2 1 3 3 24 3 4 3 5 7 6 5 W 6 0 5 1 8 2 7 2 3 4 4 7 9 1 6 6 6 4 3 9 Exercises upon the Table. In each of the twelve lines a, b, c, etc., multiply SECTION V. DIVISION. 120. Illustrative Example. Separate 48 children into equal groups of 12 children each. How many such groups I will there be? SOLUTION. By multiplication we know that four 12's are 48, so 48 children can be separated into four equal groups of 12 children each. 121. Separating a number into equal parts is dividing. 122. The number to be separated or divided is the dividend. The number to divide by is the divisor. result obtained by dividing is the quotient. The 123. Division is the process of separating, or dividing a number into equal parts. 124. In the example, "Divide 50 by 12," the quotient is 4, with 2 left undivided. The number left after the product of the equal parts is subtracted is the remainder. 125. The usual sign of division is. The expression 48 ÷ 12 = 4, means, and is read, "48 divided by 12 equals 4," or "12 in 48, 4 times," or "12's in 48, 4." Division is also indicated thus, 48: 12, and 48. II. Give rapidly the quotients in the following examples in the columns and in the lines. III. Divide by 2 each number expressed in columns a and b below, naming quotients and remainders at sight: Divide as follows the numbers in the columns under Fxercise III., previous page. in 2400 ? IV. a. How many 3's are there in 240? SOLUTION. -240 equals 24 tens. 3's in 24, 8; in 24 tens, 8 tens, or 80. Ans. 80 threes in 240; 800 threes in 2400. Tell at sight, how many times. b. 2 in 80; in 120; 160; 140. f. 4 in 800; 2400; 3600; 2800. g. 7 in 140; 4200; 2100; 3500. h. 5 in 450; 1500; 3500; 5500. i. 9 in 720; 540; 6300; 8100. 127. j. When car fares are 5 cents each, how many rides can be had for 35 cents? for 42 cents? SOLUTION. As many rides can be had for 35 cents as there are 5's in 35, which is 7. Ans. For 35 cents, 7 rides; for 42 cents, 8 rides, and 2 cents remain. k. At $6 per square for tinning a roof, how many squares can be tinned for $42? for $75? 7. The loss on the sale of some cattle was $7 each. If the total loss was $84, how many were sold? m. How many steps, 9 inches high, are required to ascend 6 feet? 12 feet? q. Pecks are 96 qt.? 100 qt.? u. Weeks are 60 d. ? 72 d. ? 35 tens, thus: 4's in 35 tens, 8 tens, and 3 tens remain. Write 8 under the tens of the dividend, and unite the 3 tens remaining with the 8 units, making 38 units. 4's in 38 units, 9 units, and 2 remain; write 9 under the units of the dividend, and the 2 remaining at the right of the dividend, as in the margin. Ans. 89, Remainder 2. In dividing, simply say, "4's in 35, 8, and 3 over; 4's in 38, 9, and 2 over"; or abbreviating still more, "4's in 35, 8; in 38, 9, and 2 remain." To prove the work, muitiply the divisor by the quotient, and add the remainder; if the work is right the result will equal the dividend; thus, 89 x.4 + 2 = 358. Examples for Written Work. 129. Perforin and prove the following examples: |