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 17 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 ...
... Multiplicand 175 Multiplier Product 17 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 ...
Page 39
... Multiplicand 763 Multiplier 24 3052 1526 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.- 36. We then ...
... Multiplicand 763 Multiplier 24 3052 1526 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.- 36. We then ...
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 48 3 Product 37035 24690 24690 27541695 = Proof . 3 NOTE . This method of proof , though perhaps sufficiently sure for ...
... multiplicand and multiplier . Multiplicand Multiplier Ex . 3 . OPERATION . 12345 = 6 excess . 2231 = 8 excess . 12345 48 3 Product 37035 24690 24690 27541695 = Proof . 3 NOTE . This method of proof , though perhaps sufficiently sure for ...
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Common terms and phrases
acres of land amount annexing answer barrels of flour Bought bushels cancel cents per pound ciphers circumference common difference composite number compound number containing cost cube root currency decimal fractions denoted diameter discount Divide the product dividend division dollars equal EXAMPLES FOR PRACTICE farthings find the interest frac gain gallons Give the reason given number greatest common divisor hogshead hundred hundredths improper fraction inches interest of $1 least common multiple leaves less lower denomination lowest terms measure miles mills minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain order or place paid payment pence prime factors proof purchase quantity quarts QUESTIONS quotient rate per cent ratio received remainder rule for finding shillings simple fraction sold solid square rods square root subtract subtrahend thousand thousandths tion tons United States money vulgar fraction weight whole number write
Popular passages
Page 269 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 277 - 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 84 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 158 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 306 - To find the solidity, or volume, of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity or volume.
Page 205 - ... farthings. (Art. 189.) RULE. — Reduce the shillings, pence, and farthings to the decimal of a pound, and annex it to the pounds ; then proceed as in United States money, and reduce the decimal in the result to a compound number. EXAMPLES FOR PRACTICE. 2. What is the interest of 26£ 10s. for 2 years, 4 months, at 5 per cent. ? Ans. 3£ Is.
Page 239 - If the extremes and one of the means are given the other mean may be found by dividing the product of the extremes by the given mean.
Page 270 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Page 239 - If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if...
Page 213 - RULE. Divide the given interest by the interest of the given principal for 1 year, and the quotient will be the answer.