# Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of Instruction, for Schools and Academies

Clark & Maynard, 1868 - Arithmetic - 400 pages
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### Contents

 Analysis of Composite Numbers 92 SECTION VI 100 Reduction of Fractions 108 Least Common Denominator 114 Cancellation applied to Multiplication of Fractions 123 Cancellation applied to Division of Fractions 129 COMPOUND NUMBERS 136 The standard unit of Liquid Measure of the United States 143 REDUCTION 150 Reduction of Fractional Compound Numbers 157 Addition of Fractional Compound Numbers 165
 Third Rule 227 Compound Interest 233 Insurance 240 DUTIES 251 PROPERTIES OF NUMBERS 260 285 263 306 285 351 314 229 381 253 7

### Popular passages

Page 261 - ... any number divided by 9, will leave the same remainder, as the sum of its figures, or digits, divided by 9 : which may be thus demonstrated.
Page 304 - X 5'" = 20""'. Hence the RDLE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier...
Page 104 - The number below the line is called the denominator, and shows into how many parts the number or thing is divided. The number above the line is called the numerator, and shows how many parts are expressed by the fraction.
Page 317 - 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 110 - 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 numerator; under this sum write the denominator.
Page 148 - Sheets make 1 Quire. 20 Quires " 1 Ream. 2 Reams " 1 Bundle. 5 Bundles
Page 71 - The number to be divided is called the dividend. The number by which we divide is called the divisor. The number which shows how many times the divisor is contained in the dividend is called the quotient.
Page 95 - 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 107 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Page 309 - The root of any number, or power, is such a number, as being multiplied into itself a certain number of times, will produce that power. Thus, 2 is the square root...