Introduction to The National Arithmetic: On the Inductive System Combining the Analytic and Synthetic Methods in which the Principles of the Science are Fully Explained and Illustrated ; Designed for Common Schools and Academies |
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Page 37
... multiplicand is the number to be multiplied or re- peated . The multiplier is the number by which we multiply , and ... multiplicand and multiplier are often called factors . ART . 35. SIGNS . The sign of multiplication is formed by two ...
... multiplicand is the number to be multiplied or re- peated . The multiplier is the number by which we multiply , and ... multiplicand and multiplier are often called factors . ART . 35. SIGNS . The sign of multiplication is formed by two ...
Page 38
... Multiplicand 175 Multiplier Product 7 1225 Ans . 1225 . After having written the multiplier un- der the unit figure of the multiplicand , and drawn a line below it , we multiply the 5 in the multiplicand by 7 , saying , 7 times 5 are 35 ...
... Multiplicand 175 Multiplier Product 7 1225 Ans . 1225 . After having written the multiplier un- der the unit figure of the multiplicand , and drawn a line below it , we multiply the 5 in the multiplicand by 7 , saying , 7 times 5 are 35 ...
Page 39
... Multiplicand 763 Multiplier 24 3052 , 1526 36 . Ans . 18312 . Here we write the multiplicand and multiplier as before , and proceed to mul- tiply the multiplicand by 4 , the unit fig- ure of the multiplier , precisely as in Art . We ...
... Multiplicand 763 Multiplier 24 3052 , 1526 36 . Ans . 18312 . Here we write the multiplicand and multiplier as before , and proceed to mul- tiply the multiplicand by 4 , the unit fig- ure of the multiplier , precisely as in Art . We ...
Page 40
... multiplicand , and if the result is like the first product , the work is supposed to be right . The reason of this proof depends on the principle , That , when two or more numbers are multiplied together , the product is the same ...
... multiplicand , and if the result is like the first product , the work is supposed to be right . The reason of this proof depends on the principle , That , when two or more numbers are multiplied together , the product is the same ...
Page 41
... multiplicand and multiplier . Multiplicand Multiplier Ex . 3 . OPERATION . 12345 = 6 excess . 2231 = 8 excess . 12345 37035 24690 24690 27541695 = 48 = 3 Proof . 3 . Product - NOTE . This method of proof , though perhaps sufficiently ...
... multiplicand and multiplier . Multiplicand Multiplier Ex . 3 . OPERATION . 12345 = 6 excess . 2231 = 8 excess . 12345 37035 24690 24690 27541695 = 48 = 3 Proof . 3 . Product - NOTE . This method of proof , though perhaps sufficiently ...
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Common terms and phrases
13 leaves 20 per cent acres angle annuity barrels of flour Bought bushels called ciphers circumference common denominator common difference compound interest compound numbers containing cords cost cube root cubic feet denoted diameter discount dividend dollars equal EXAMPLES FOR PRACTICE factors farthings find the interest frustum gain gallons Give the reason given number given sum greatest common divisor hogshead hundred improper fraction inches interest of $1 last term least common least common multiple leaves 11 less miles minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain paid payment pence present worth principal proportion quantity QUESTIONS QUESTIONS.-Art quotient rate per cent ratio received Reduce remainder rule for finding sell shillings sides simple fraction sold solid square feet square root subtract subtrahend thousand thousandths tons triangle United States money vulgar fraction weight whole number yards
Popular passages
Page 257 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 264 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 288 - Ans. 75 square feet. 2. What is the difference between the contents of two floors ; one is 37 feet long and 27 feet wide, and the other is 40 feet long and 20 feet wide ? Ans. 199 square feet.
Page 265 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre.
Page 254 - Find the greatest square number in the first or left hand period, place the root of it at the right hand of the given number, (after the manner of a quotient in division...
Page 128 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, $, -f . A mixed number is a whole number and a fraction expressed together; as, 4f, 25-ht.
Page 199 - Compute the interest to the time of the first payment; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 294 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 267 - ... series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means.
Page 126 - Mnltiple of two or more numbers is the least number that can be divided by each of them without a remainder ; thus 30 is the least common multiple of 10 and 15.