1. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 4.3 Decimal Numbers and Percents

2. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Objectives o Understand that percent means hundredths. o Change decimal numbers to percents. o Change percents to decimal numbers.

3. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Example 1: Changing Fractions with Denominators of 100 to Percents Each fraction is changed to a percent. a. b. c. Remember that percent means hundredths. Note that the decimal point is not moved. The numerator is unchanged.

4. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Example 1: Changing Fractions with Denominators of 100 to Percents (cont.) d. e. 240 is greater than 100 and the % is more than 100%.

5. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. To Change a Decimal Number to a Percent Step 1: Move the decimal point two places to the right. Step 2: Write the % sign. Changing Decimal Numbers to Percents

6. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Example 2: Changing Decimal Numbers to Percents Change each decimal number to percent form by moving each decimal point two places to the right and writing the % sign.

7. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Example 2: Changing Decimal Numbers to Percents (cont.) Note that a number larger than 1 is more than 100%. One hundredth is 1%. Less than 1%.

8. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. To Change a Percent to a Decimal Number Step 1: Move the decimal point two places to the left. Step 2: Delete the % sign. Changing Percents to Decimal Numbers

9. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Example 3: Changing Percents to Decimal Numbers Change each percent to an equivalent decimal number by moving the decimal point two places to the left and deleting the % sign.

10. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Example 3: Changing Percents to Decimal Numbers (cont.) Note that 0.25% is less than 1%.

11. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Practice Problems Change each fraction to a percent. 1.2. 3. Change each decimal number to a percent. 4. 0.368 5. 0.04 6. 25 Change each percent to a decimal number. 7. 25% 8. 2.5% 9. 137%

12. HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Practice Problem Answers 1. 73%2. 9%3. 14.2% 4. 36.8%5. 4%6. 2500% 7. 0.258. 0.0259. 1.37