Arithmetic, designed for academies and schools; (with answers).

9781232217930: Arithmetic, designed for academies and schools; (with answers).

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. 1844 Excerpt: ...127. 1. Multiply,37 by,8. If we multiply the fraction y3 by, Operation. we find the product to be ia09000: and »37=yj. generally, the number of ciphers in the denominator of the product, will be equal lo the number of decimal places in the two factors. 2. Multiply,3 by,02. OPERATION. ==,006 answer To express the 6 thousandths decimally we have to prefix two ciphers-to the 6, and this makes as many decimal places in the product as there are in both multiplicand and multiplier. Therefore, to multiply one decimal by another, we have the following RU1E. Multiply asin simple numbers, andpoint off in the product, from the right hand, as many figures for decimals as are equal to the number of decimal places in the multiplicand and multiplier; and if there be not so many in the product, supply the deficiency by prefixing ciphers. Q. After multiplying, how many decimal places will you point off in the product? When there are not so many in the product, what do you do? Give the rule for the multiplication of decimals. EXAMPLES. 1. Multiply 3,049 by,012. Ans.,036588 (2.) ' (3.) Multiply 365,491 Multiply 496,0135 by,001 by 1,496 Ans.,365491 Ans. 742,0361960 4. Multiply one and one millionth by one thousandth. Ans.,001000001. 5. Multiply one hundred and forty-seven millionths, by one millionth. Ans. 6. Multiply three hundred, and twenty-seven hundredths by 31. Ans. 9308,37. 7. Multiply 31,00467 by 10,03962. Ans. 311,2751050254. 8. What is the product of five-tenths by five-tenths. Ans. 9. What is the product of five-tenths by five thousandths. Ans.,0025. 10. Multiply 596,04 by 0,00004. Ans. 11. Multiply 38049,079 by 0,00008. Ans. 3,04392632. § 128-Note. When a decimal number is to be multiplied by 10, 100, 1000, &c., the multiplication may be made by remov...

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