## New School AlgebraGinn & Company, 1898 |

### From inside the book

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**EXPONENTS**XVII . RADICAL EXPRESSIONS . 230 238 XVIII . IMAGINARY EXPRESSIONS 256 XIX . QUADRATIC EQUATIONS . 262 XX . SIMULTANEOUS QUADRATICS 293 XXI . RATIO , PROPORTION , AND VARIATION 303 XXII . PROGRESSIONS • 322 XXIII . VARIABLES ... Page 6

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**Exponents**of Powers . An index or**exponent**of a power is a number - symbol written at the right of and a little above the number . If the**exponent**is a whole number , it shows the number of times the given number is taken as a factor ... Page 7

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**exponent**in all the terms , they are called similar terms or like terms . Thus , 3 x2y3 , 5 x2y3 , and 7 x2y3 are similar terms . 30. Simple Expressions . An algebraic expression of one term is called a simple expression or a monomial ... Page 43

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**exponent**of a letter in the product is equal to the sum of the**exponents**of the letter in the factors of the product . Multiplication of Monomials . 1. Find the product of 6 POSITIVE AND NEGATIVE NUMBERS . 43 39335. Page 44

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**exponents**in the factors . 83. A product of three or more factors is called the con- tinued product of the factors . 1. Find the continued product of ( -a ) × ( —b ) × ( −c ) . By the law of signs , § 80 , we have ( a ) ( b ) = ab ...### Other editions - View all

### Common terms and phrases

a²b a²b² a²c a²x a²x² a³b ab² ab³ arithmetical arithmetical mean arithmetical series ax² binomial called cent change the sign coefficient cologarithm common factor Compound Expressions cube root denominator difference digits Divide dividend divisible divisor equal equation exact divisor EXERCISE exponent Extract the square feet Find the H. C. F. Find the numbers Find the product Find the sum find the value fraction geometrical geometrical series given number Hence highest common factor integral number logarithm mantissa miles an hour monomial Multiply negative number number of dollars number of terms parenthesis positive integer quadratic quotient ratio remainder Resolve into factors smaller number Solve square root Subtract surd THEOREM Transpose unknown numbers x²y x²y² xy² yards ΙΟ

### Popular passages

Page 67 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.

Page 332 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.

Page 11 - If an expression within a parenthesis is preceded by the sign +, the parenthesis may be removed without making any change in the signs of the terms of the expression.

Page 308 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd, — = r~,> /n"- bd a- c or - = -• .'. a : b = с : d.

Page 318 - The area of a circle varies as the square of its radius, and the area of a circle whose radius is 1 foot is 3.1416 square feet.

Page 372 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.

Page 170 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?

Page 27 - Two men start from the same place and travel in the same direction ; one, 5 miles an hour ; the other, 7 miles an hour.

Page 176 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.

Page 332 - Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21. What are the numbers ? 23.