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 4
... NOTICE . Two editions of this work , and also of the NATIONAL ARITHME- TIC , one containing the answers to the examples , and the other with- out them , are now published . CONTENTS . Page 7 REDUCTION , 7 8 Multiplication of IV PREFACE .
... NOTICE . Two editions of this work , and also of the NATIONAL ARITHME- TIC , one containing the answers to the examples , and the other with- out them , are now published . CONTENTS . Page 7 REDUCTION , 7 8 Multiplication of IV PREFACE .
Page 29
... answer , or number found by the operation , is called the Difference or Remainder . - ART . 27. SIGNS . Subtraction is denoted by a short hori- zontal line , thus signifying minus or less . It indicates that the number following is to ...
... answer , or number found by the operation , is called the Difference or Remainder . - ART . 27. SIGNS . Subtraction is denoted by a short hori- zontal line , thus signifying minus or less . It indicates that the number following is to ...
Page 43
... answer . NOTE . The product of any number of factors is the same in what- ever order they are multiplied . Thus , 3 × 4 12 , and 4 × 3 = 12 . = EXAMPLES FOR PRACTICE . 2. Multiply 30613 by 255 X 5 . 3. Multiply 1469 by 847 × 12 . 4 ...
... answer . NOTE . The product of any number of factors is the same in what- ever order they are multiplied . Thus , 3 × 4 12 , and 4 × 3 = 12 . = EXAMPLES FOR PRACTICE . 2. Multiply 30613 by 255 X 5 . 3. Multiply 1469 by 847 × 12 . 4 ...
Page 44
... Answers 240 , 2400 hours . OPERATION . Multiplicand 24 24 Multiplier Product 10 100 2400 240 Or thus , 240 , 2400 . By a principle of notation , the removal of a figure one place to the left increases its value ten times ( Art . 9 ) ...
... Answers 240 , 2400 hours . OPERATION . Multiplicand 24 24 Multiplier Product 10 100 2400 240 Or thus , 240 , 2400 . By a principle of notation , the removal of a figure one place to the left increases its value ten times ( Art . 9 ) ...
Page 48
... answer . The dividend is the number to be divided . The divisor is the number by which we divide . The quotient is the number of times the divisor is con- tained in the dividend . When the dividend does not contain the divisor an exact ...
... answer . The dividend is the number to be divided . The divisor is the number by which we divide . The quotient is the number of times the divisor is con- tained in the dividend . When the dividend does not contain the divisor an exact ...
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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.