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3-place ability adding addition answer arithmetic average bonds Book cents column common fractions computation connection correct quotient counting crutch cyclometer decimal fractions decimal places decimal point definitions denominate numbers difficulty divide dividend divisor dollars drill equal equations exercises explanation express facts figure girl give given Grade habit hour hundredths inches integers interest knowledge learner learning least common multiple long division meanings of numbers metical miles minuend minutes mixed numbers months multiply newer methods Number of occurrences older methods operation organization parallelogram percent pounds principles problems procedure pupil reciprocal rectangle remainder requires Roman numerals rule solve square feet square root Step subtraction subtrahend tables taught teacher teaching textbook things topic understand unit of measure United States money week weight whole number write yards
Page 228 - 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 171 - 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 228 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 205 - Make a mark in the dividend as many places to the right of the decimal point as there are decimal places in the divisor. Place the decimal point in the quotient directly above this mark.
Page 130 - Grade 6, there will be some pupils who can (except for occasional slips) solve thft entire hundred, and some who cannot solve more than fifty — not if they struggle for hundreds of hours. Problems of a certain degree of complexity and abstractedness they simply cannot solve, just as they cannot jump over a fence five feet high or lift a weight of five hundred pounds.
Page 227 - Therefore, To reduce fractions to similar fractions with a given common denominator : We divide the given common denominator by the denominator of the first fraction, and multiply the quotient by its numerator, and this will be the required numerator of the first fraction. In the same way we find the numerator of each of the other fractions. Reduce to similar fractions having for denominator the number given in parenthesis for each problem : 1.
Page 28 - Divide the denominator by the whole number, when it can be done without a remainder ; otherwise, multiply the numerator by it, and under the product write the denominator, which may then be reduced to a whole or mixed number.
Page 23 - ... first three : what is their sum? Ans. 3448. 31. The Pyramids of Egypt were built 337 years before the founding of Carthage ; Carthage was founded 49 years before the destruction of Troy ; Troy was destroyed 431 years before Rome was founded ; Carthage was destroyed 607 years after the founding of Rome, and 146 before the Christian era. How many years before Christ were the Pyramids built?