Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Page ix
... Least Common Multiple , three methods , 102 SECTION VII . FRACTIONS , 107 General principles pertaining to Fractions , 109 Reduction of Fractions , 111 Addition of Fractions , 119 Subtraction of Fractions , 122 Multiplication of ...
... Least Common Multiple , three methods , 102 SECTION VII . FRACTIONS , 107 General principles pertaining to Fractions , 109 Reduction of Fractions , 111 Addition of Fractions , 119 Subtraction of Fractions , 122 Multiplication of ...
Page 92
... numbers . 20. The least divisor of every number is a prime number . For , every whole number is either prime , or composite ; ( Art . 180 . Def . 2 ; ) but a composite number , 92 [ SECT . VI . PROPERTIES OF NUMBERS .
... numbers . 20. The least divisor of every number is a prime number . For , every whole number is either prime , or composite ; ( Art . 180 . Def . 2 ; ) but a composite number , 92 [ SECT . VI . PROPERTIES OF NUMBERS .
Page 93
... least divisor of every number must be a prime number . 21. Every prime number except 2 , if increased or diminished by 1 , is divisible by 4. See table of prime numbers , next page . 22. Every prime number except 2 and 3 , if increased ...
... least divisor of every number must be a prime number . 21. Every prime number except 2 , if increased or diminished by 1 , is divisible by 4. See table of prime numbers , next page . 22. Every prime number except 2 and 3 , if increased ...
Page 97
... least number that will divide it with- out a remainder , and which is also a prime number . ( Prop . 20. ) We next divide by 3 , then by 5. The several divisors and the last quotient are the prime factors required . ¿ OOF . - 2 X3 X5X7 ...
... least number that will divide it with- out a remainder , and which is also a prime number . ( Prop . 20. ) We next divide by 3 , then by 5. The several divisors and the last quotient are the prime factors required . ¿ OOF . - 2 X3 X5X7 ...
Page 101
... and 315 ? 21. What is the greatest common divisor of 24 , 42 , 54 , and 60 ? 22. What is the greatest common divisor of 56 , 84 , 140 , and 168 ? LEAST COMMON MULTIPLE . 172. One number is said to ARTS . 169-171 . ] 101 DIVISOR .
... and 315 ? 21. What is the greatest common divisor of 24 , 42 , 54 , and 60 ? 22. What is the greatest common divisor of 56 , 84 , 140 , and 168 ? LEAST COMMON MULTIPLE . 172. One number is said to ARTS . 169-171 . ] 101 DIVISOR .
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Common terms and phrases
acres added amount annexed answer required apiece Arithmetic avoirdupois barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS column common fraction composite number compound numbers cost cube cubic inches decametre decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given dividend given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured least common multiple less number method miles mills mixed number months multiplicand Multiply notation Operation partial product payable pence period pounds present worth prime factors prime number principle quantity quotient radix rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy pound Troy weight units weight whole number wine measure yard
Popular passages
Page 363 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 109 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 95 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 98 - A common multiple of two or more numbers, is a number which can be divided by each of them without a remainder. Thus, 12 is a common multiple of 2, 3, and 4 ; 15 is a common multiple of 3 and 5, &c.
Page 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Page 373 - When four numbers are in arithmetical progression the sum of the extremes is equal to the sum of the means. Thus, if 5—3 = 9—7, then will 5+7=3+9.
Page 354 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Page 142 - 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 386 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 360 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.