The Common School Arithmetic; Combining Analysis and Synthesis. Adapted to the Best Mode of Instruction in the Elements of Written Arithmetic

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 edition. Excerpt: ...Ex. 1. A board is 6 ft. 7' 9" in length and 2 ft. T 5" in breadth; what is its area? Operation. First, 9" x 2 = 18" 6 7' 9" =1'6"; the 6" we write 2 7' 5" under the seconds, and 13 3' 6" reserve the 1' to add to 3 10' 6" 3"' the next product, thus, 2' 9" 2"' 9"" 7' X 2 = 14', which in Ans.T7 4' 9" 5'" 9"" crefe bv thf V ously obtained gives 15' = lft. 3'; the 3' is written down, and the 1 ft. is carried to the product of the feet, making 13 ft. In like manner we multiply by the 7' and then by the 5," setting the partial products as in the margin. Finally the sum of these partial products is the product sought. Hence 219. To perform Multiplication of Duodecimals. Rule. By the rule for multiplication of compound numbers, multiply the multiplicand by each term in the multiplier, and write the terms of the several partial products in the order of their values so that similar terms shall stand in a column together; the sum of the partial products will be the entire product. 2. 3. Multiplicand, 3 4' 6" 4 8' 9" Multiplier, 2 8' 5" 2 3' 7" 6 9' 0" 9 5i&, 2 3' 0" 0"' 1 2' 2" 3"' 1' 4" 10"' 6"" 2' 9" 1"' 3"" 918- Rule for determining the denomination of a product? Explain philosophically and familiarly. 219. Rule for multiplication of duodecimals? 5. What are the contents of a granite block that is 6 ft. 3'; long, 2 ft. 4' wide, and 1 ft. 3' thick? Ans. 18 ft. 2' 9." (See Art. 104). 6. How many feet of flag-stone in a walk 15 ft. 6' long and 3 ft. 4' wide? 7. How many solid feet of marble in a block that is 8 ft. 3' long, 3 ft. 6' wide, and 1 ft-4' thick? 8....