## Arithmetical Analysis, Or Higher Mental Arithmetic for Advanced ClassesClark & Maynard, 1867 - 192 pages |

### Common terms and phrases

12 cents 20 cents 20 per cent 50 cents acres of land Analysis apples barrel of flour bbls boys bushel called cents a pound cents apiece common fraction complement composite number contained cows cube root decimal difference digits dimes divided dividend dollars dozen earn equal expressed farmer feet figures fourths gain gallons given number greater number greatest common divisor grocer half halves Hence horse improper fraction insured interest of $1 least common denominator least common multiple lowest terms marbles market-woman melon miles an hour mixed number months multiplicand multiply by 9 Note number added oranges paid peaches pears pence prime factors prime numbers quarts quotient rate per cent receive Reduce remainder rods sell sheep shillings sold square root subtract sum reaches 100 tens third tons traveled unit expressed units whole number yards of cloth yards of muslin

### Popular passages

Page 186 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, $, -f . A mixed number is a whole number and a fraction expressed together; as, 4f, 25-ht.

Page 183 - 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 186 - The Value of a fraction is the quotient of the numerator divided by the denominator.

Page 186 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.

Page 181 - DIVISION we find how many times one number is contained in another. The number to be divided, is called the DIVIDEND ; the number by which to divide is called the DIVISOR; the number of times the dividend contains the divisor is called the QUOTIENT.

Page 68 - 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 33 - When the multiplier is 10, 100, 1000, or 1 with any number of ciphers annexed, annex as many ciphers to the multiplicand as there are ciphers in the multiplier, and the multiplicand, so increased, will be the product required.

Page 180 - 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 185 - The lower number is called the denominator (namegiver), the upper number is called the numerator (numbergiver) ; and the numerator and denominator together are called the terms of the fraction.

Page 86 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.