By Jerry Bobrow

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Structure and Representation of Jordan Algebras

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Extra resources for Cliffs QuickReview algebra 1

Example text

2. Change the decimal to a percent. 05 = 5% Changing percents to fractions To change percents to fractions, 1. Drop the percent sign. 2. Write over one hundred. 3. Reduce if necessary. 29 30 CliffsQuickReview Algebra I Example 25: Change to fractions. (a) 60% = 60⁄100 = 3⁄5 (b) 230% = 230⁄100 = 23⁄10 = 23⁄10 Finding the percent of a number To determine the percent of a number, change the percent to a fraction or decimal (whichever is easier for you) and multiply. Remember, the word of means multiply.

Chapter 6: Monomials, Polynomials, and Factoring 57 When monomials are being raised to a power, the answer is obtained by multiplying the exponents of each part of the monomial by the power to which it is being raised. Example 3: Simplify. (a) (a7)3 = a2l (b) (x3y2)4 = x12y8 (c) (2x2y3)3 = (2)3 x6y9 = 8x6y9 Dividing monomials To divide monomials, subtract the exponent of the divisor from the exponent of the dividend of the same base. Example 4: Divide. (a) y 15 = y 11 or y 15 ' y 4 = y 11 y4 (b) x 5y 2 = x 2y x 3y (c) 36a 4 b 6 =- 4a 3b 5 (divide the numbers) - 9ab (d) fg 15 = fg 12 g3 (e) x 5 = 1 (may also be expressed x-3) x8 x3 (f ) - 3 ` xy j ` xy 2 j xy You can simplify the numerator first.

Change percents to decimals or fractions, whichever you find easier. Then solve the equation. Example 27: Turn each of the following into an equation and solve. (a) 18 is what percent of 90? 18 = x(90) ⁄90 = x 1 ⁄5 = x 20% = x 18 (b) 10 is 50% of what number? 50 = x 20 = x 10 (c) What is 15% of 60? 15(60) = 9 Chapter 2: Signed Numbers, Fractions, and Percents 31 Percent–proportion method Another simple method commonly used to solve percent problems is the proportion or is/of method. First set up a blank proportion and then fill in the empty spaces by using the following steps.