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Example 2-7b Objective Write percents as fractions and decimals and vice versa

Lesson 2 Contents Example 1Percents as Decimals Example 2Percents as Decimals Example 3Decimals as Percents Example 4Decimals as Percents Example 5Fractions as Percents Example 6Fractions as Percents Example 7Compare Numbers

Example 2-1a Write 52% as a decimal. Answer: 0.52 Remove the percent symbol. % Divide by 100 by moving decimal 2 places to left Put new decimal in number Write problem 1/7

Example 2-1b Write 28% as a decimal. Answer: /7

Example 2-2a Write 245% as a decimal. Answer: 2.45 Divide by 100 Remove the percent symbol. Write problem 2.45% Put new decimal in number 2.45% 2/7

Example 2-2b Write 135% as a decimal. Answer: /7

Example 2-3a Write 0.3 as a percent. Answer: 30% Multiply by 100 by moving decimal 2 places to the right Write problem 0.3 Annex a zero in empty space 00. Place new decimal 30% Write number with new decimal and percent sign 3/7

Example 2-3b Write 0.91 as a percent. Answer: 91% 3/7

Example 2-4a Write 0.71 as a percent. Answer: 71% Place new decimal 0.71 Write problem Multiply by 100 by moving decimal 2 places to the right 0.71 Add percent sign 71.% 4/7

Example 2-4b Write 1.65 as a percent. Answer: 165% 4/7

Example 2-5a Write as a percent. Write fraction Answer: 75% Add the % sign 5/7 Convert to decimal by dividing numerator by denominator 0.75 Multiply by %

Example 2-5c Answer: 25% Write as a percent. 5/7

Example 2-6a Write as a percent. Answer: 16.6% 6/7 Write fraction Convert to decimal by dividing numerator by denominator Multiply by Use bar notation for repeating decimal 16.6 Add percent sign % 16.6%

Example 2-6c Answer: Write as a percent. 6/7

Example 2-7a POLITICS In Sun City, of voters are Democrats. In Moon Town, 48% of voters are Democrats. In which town is there a greater proportion of Democrats? Answer: Moon Town 7/7 Write information Sun City Moon Town 48% Convert fraction to percent 45% Compare percents Question asks “which town is there a greater proportion?”

Example 2-7b POLITICS In Star City, of voters are Republicans. In Meteorville, 13% of voters are Republicans. In which town is there a greater proportion of Republicans? Answer: Star City * 7/7