A basis of identities of the algebra of third-order matrices by Genov G.K.

By Genov G.K.

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Example 26: Find the percents of these numbers. 09 Other applications of percent Turn the question word-for-word into an equation. For what, substitute the letter x; for is, substitute an equal sign; for of, substitute a multiplication sign. 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?

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.

Changing fractions to decimals To change a fraction to a decimal, simply do what the operation says. In other words, 13⁄20 means 13 divided by 20. So do just that (insert decimal points and zeros accordingly). 26 CliffsQuickReview Algebra I Example 18: Change to decimals. 222... 222... Changing infinite repeating decimals to fractions Infinite repeating decimals are usually represented by putting a line over (sometimes under) the shortest block of repeating decimals. This line is called a vinculum.

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