Davies' University Arithmetic: Embracing the Answers, and a Full Analysis and Solution of the Difficult Questions ... |
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Page 9
... Reduction .. 13 14 14-24 24 25-28 28 29 30-34 Addition 34-44 Subtraction .. Multiplication . Division ... 44-54 54 ... Reduction of Common Fractions . 124-132 Reduction of Denominate Fractions .. 132-135 Addition of Common Fractions ...
... Reduction .. 13 14 14-24 24 25-28 28 29 30-34 Addition 34-44 Subtraction .. Multiplication . Division ... 44-54 54 ... Reduction of Common Fractions . 124-132 Reduction of Denominate Fractions .. 132-135 Addition of Common Fractions ...
Page 10
... Reduction of Common Fractions to Decimals ... Reduction of Denominate Decimals .. Repeating Decimals - Definition of , & c .... Reduction of Repeating Decimals ..... Addition of Repeating Decimals .. Subtraction of Repeating Decimals ...
... Reduction of Common Fractions to Decimals ... Reduction of Denominate Decimals .. Repeating Decimals - Definition of , & c .... Reduction of Repeating Decimals ..... Addition of Repeating Decimals .. Subtraction of Repeating Decimals ...
Page 30
... REDUCTION . 35. REDUCTION is the operation of changing a number from one unit to another , without altering its value . 36. REDUCTION DESCENDING is the operation of changing a ... reduce 12 feet to inches 30 REDUCTION OF Reduction 30-34.
... REDUCTION . 35. REDUCTION is the operation of changing a number from one unit to another , without altering its value . 36. REDUCTION DESCENDING is the operation of changing a ... reduce 12 feet to inches 30 REDUCTION OF Reduction 30-34.
Page 31
... reduce 12 feet to inches , the units of the scale would be 12 , since 12 inches make 1 foot : hence , 4 yards = 4 × 3 = 12 feet = 12 × 12 = 144 inches . If on the contrary , we wish to change 144 inches to feet , and then to yards , we ...
... reduce 12 feet to inches , the units of the scale would be 12 , since 12 inches make 1 foot : hence , 4 yards = 4 × 3 = 12 feet = 12 × 12 = 144 inches . If on the contrary , we wish to change 144 inches to feet , and then to yards , we ...
Page 32
... reduction is from a greater to a less unit . 4. In 34 T. 16 cwt . 3 qr . 19 lb. , how many pounds ? 34 20 696 16 cwt . added . 2787 3 qr . added . 25 13954 19 lb. added . 5574 69694 lb. 3. In 5040 farthings , how many pence , shillings ...
... reduction is from a greater to a less unit . 4. In 34 T. 16 cwt . 3 qr . 19 lb. , how many pounds ? 34 20 696 16 cwt . added . 2787 3 qr . added . 25 13954 19 lb. added . 5574 69694 lb. 3. In 5040 farthings , how many pence , shillings ...
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Common terms and phrases
acres altitude amount ANALYSIS.-The barrels of flour base bill bought bushels bushels of wheat called cash cents a pound ciphers common denominator common fraction composite number compound contain continued fraction cords Cube root cubic inches decimal places denoting diameter discount Divide dividend division dollars equal Examples excess of 9's exchange expressed foot fractional unit gain gallons greatest common divisor hence hogsheads hundred improper fraction interest least common multiple length longitude measure merchant Metric system miles mixed numbers months multiplicand Multiply Myriameter number of terms OPERATION ounces paid payment premium prime factors proportion quotient figure ratio receive Reduce remainder repetend rods Rule Rule.-Multiply sell share shillings sold specific gravity square root subtract sugar tare tens thousand Troy weight weight whole number worth write yards of cloth
Popular passages
Page 174 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 179 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 104 - THE LEAST COMMON MULTIPLE of two or more numbers is the least number which they will separately divide without a remainder. 117. Principles — Operations — and Rule. 1. Any divisible number, is divisible by any prime factor of the exact divisor. 2. If a number has several exact divisors, it will be divisible by all their prime factors.
Page 140 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 16 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...
Page 106 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.
Page 278 - Multiply each payment by the time before it becomes due, and divide the sum of the products by the sum of the payments : the quotient will be the mean time.
Page 125 - Multiply each numerator by all the denominators except its own, for the new numerators ; and all the denominators together for A COMMON denominator. NOTE 1.
Page 362 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Page 360 - The area or contents of a triangle is equal to half the product of its base by its altitude (Bk.