## Higher Arithmetic; Or The Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction |

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Higher Arithmetic; Or the Science and Application of Numbers James B. Thomson No preview available - 2016 |

### Common terms and phrases

acres added allowing amount annexed answer bank begin bought bushels called carry cent Change ciphers commission common fraction compound consequently contained contraction cost cube cubic decimal denominator denotes difference discount Divide dividend division divisor dollars dolls duty equal example expressed factors Federal Money feet figure gain gallons gals given number greater Hence hundred hundredths inches insured interest least less loss lower manner measure method miles mills mixed months multiplicand Multiply Operation paid payable payment period pound preceding premium present prime principal proceed proportion quantity quotient ratio reason received Reduce remainder right hand rods root rule selling shillings simple sold square subtract tens terminate third thousandths units weight whole number worth Write 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.