Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Page 23
... consequently each removal of a figure one place towards the left , in- creases its value ten times . Note . - 1 . The number which forms the basis , or which expresses the ratio of increase in a system of Notation , is called the RADIX ...
... consequently each removal of a figure one place towards the left , in- creases its value ten times . Note . - 1 . The number which forms the basis , or which expresses the ratio of increase in a system of Notation , is called the RADIX ...
Page 31
... consequently it cannot all be written under its own column . We therefore write the 8 or right hand figure in tens ' place under the column added , and reserving the 1 or left hand figure , add it with the hundreds . Thus , 1 which was ...
... consequently it cannot all be written under its own column . We therefore write the 8 or right hand figure in tens ' place under the column added , and reserving the 1 or left hand figure , add it with the hundreds . Thus , 1 which was ...
Page 32
... consequently , they cannot be united together directly in a single sum . Thus , 3 units and 5 tens will neither make eight units , nor eight tens , any more than 3 oranges and 5 apples will make 8 apples , or 8 oranges . In like manner ...
... consequently , they cannot be united together directly in a single sum . Thus , 3 units and 5 tens will neither make eight units , nor eight tens , any more than 3 oranges and 5 apples will make 8 apples , or 8 oranges . In like manner ...
Page 42
... consequently cannot be taken from it . Ex . 3. What is the difference between 94 and 56 ? Analytic solution . 94 = 80 + 14 56 50+ 6 Rem . 38 = 30 + 8 It is manifest that we cannot take 6 units from 4 units , for 6 is larger than 4 . To ...
... consequently cannot be taken from it . Ex . 3. What is the difference between 94 and 56 ? Analytic solution . 94 = 80 + 14 56 50+ 6 Rem . 38 = 30 + 8 It is manifest that we cannot take 6 units from 4 units , for 6 is larger than 4 . To ...
Page 50
... Consequently , if the multiplicand is an abstract number , the product will be an abstract number ; if money , the product will be money ; if barrels , barrels , & c . 2 Every multiplier is to be considered an abstract number . In ...
... Consequently , if the multiplicand is an abstract number , the product will be an abstract number ; if money , the product will be money ; if barrels , barrels , & c . 2 Every multiplier is to be considered an abstract number . In ...
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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.