Arithmetic Designed for Academies and Schools: With AnswersA.S. Barnes & Company, 1844 - 340 pages |
From inside the book
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Page 184
... ratio of 3 to 9 is 3 , since 9 ÷ 3 = 3 . The ratio of 2 to 4 is 2 , since 4 ÷ 2 = 2 . We may also compare a larger number with a less . For example , the ratio of 4 to 2 is ; for , 2 ÷ 4 = } . The ratio of 9 to 3 is , since 3 ÷ 9 = In ...
... ratio of 3 to 9 is 3 , since 9 ÷ 3 = 3 . The ratio of 2 to 4 is 2 , since 4 ÷ 2 = 2 . We may also compare a larger number with a less . For example , the ratio of 4 to 2 is ; for , 2 ÷ 4 = } . The ratio of 9 to 3 is , since 3 ÷ 9 = In ...
Page 185
... ratio of 100 to 30 ? 7. What are the ratios of the proportions Ans . 3 10 ° 3 : 9 :: 12 : 36 . Ans . 3 . 2 : 10 ... ratio of two numbers express ? What is it equal to ? What is the ratio of 1 to 5 ? Of 2 to 8 ? Of 3 to 27 ? Of 6 to 36 ...
... ratio of 100 to 30 ? 7. What are the ratios of the proportions Ans . 3 10 ° 3 : 9 :: 12 : 36 . Ans . 3 . 2 : 10 ... ratio of two numbers express ? What is it equal to ? What is the ratio of 1 to 5 ? Of 2 to 8 ? Of 3 to 27 ? Of 6 to 36 ...
Page 194
... ratio by the other term . The ratio of two of the terms will generally express the value or cost of a single thing . EXAMPLES . 1. If 3 barrels of flour cost $ 24 , what will 7 barrels cost ? By dividing the $ 24 by 3 we get the cost of ...
... ratio by the other term . The ratio of two of the terms will generally express the value or cost of a single thing . EXAMPLES . 1. If 3 barrels of flour cost $ 24 , what will 7 barrels cost ? By dividing the $ 24 by 3 we get the cost of ...
Page 256
... ratio . When the series is formed by multiplying continually by the common ratio , it is called an ascending series ; and when it is formed by dividing continually by the common ratio , it is called a descending series . Thus , 3 6 12 ...
... ratio . When the series is formed by multiplying continually by the common ratio , it is called an ascending series ; and when it is formed by dividing continually by the common ratio , it is called a descending series . Thus , 3 6 12 ...
Page 257
... ratio ; the 3rd term by multiplying this product by the common ratio , and so on , the number of multiplications being one less than the number of terms . Thus , 3 = 1 1st term , 3 × 2 = 6 2nd term , 3 × 2 × 2 = 12 3rd term , 3 × 2 × 2 ...
... ratio ; the 3rd term by multiplying this product by the common ratio , and so on , the number of multiplications being one less than the number of terms . Thus , 3 = 1 1st term , 3 × 2 = 6 2nd term , 3 × 2 × 2 = 12 3rd term , 3 × 2 × 2 ...
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Common terms and phrases
acres amount annex apiece apples barrels Bought bushels bushels of wheat called casks cent per annum ciphers cloth cost column common denominator common difference composite number contains cords cube root cubic Currency decimal fraction decimal places denominate number diameter dimes dividend division dollars drams Dry measure equal EXAMPLES express farthings Federal Money feet figures following RULE foot four gallon given number gives greatest common divisor Hence hogshead hundred hundredths improper fractions inches least common multiple lower denomination lowest terms measure merchant miles mills minuend mixed number months multiplicand multiply number of terms OPERATION ounces paid payment pence pints quarts quotient receive Reduce remainder Repeat the Table rods sell sheep shillings simple numbers sold solid square root subtract sugar tens thousandths Troy weight tuns VULGAR FRACTIONS weight whole number wine Write yards of cloth
Popular passages
Page 175 - When any decimal number is to be divided by 10, 100, 1000, &c. the division is made by removing the decimal point as many places to the left as there are...
Page 279 - THE CONDITION of the above obligation is such, that if the above bounden James Wilson, his heirs, executors, or administrators, shall well and truly pay or cause to be paid, unto the above named John Pickens, his executors, administrators, or assigns, the just and full sum of Here insert the condition.
Page 139 - Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Page 245 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 140 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 45 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Page 107 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 74 - Mills. 10 mills (m.) make 1 cent, marked ct. 10 cents " 1 dime, " d. 10 dimes " 1 dollar,
Page 279 - Eighty dollars lawful money of the United States of America, to be paid to the said...