Question

1. in this section we introduced percent, which means \per centum\ or \per 100\.
2. the number 1 written as a percent is 100%.
3. to change a percent to a decimal, move the decimal point 2 places to the left. drop the % symbol.
4. to change a decimal to a percent, move the decimal point 2 places to the right. add the % symbol at the end of the number.

write each fraction as a percent.

1. $\frac{45}{100}=45%$ 6. $\frac{48}{100}=48%$ 7. $\frac{7}{100}=7%$ 8. $\frac{9}{100}=9%$ 9. $\frac{80}{100}=80%$
2. $\frac{245}{100}=245%$ 12. $\frac{110}{100}=110%$ 13. $\frac{5.3}{100}=5.3%$ 14. $\frac{8.3}{100}=8.3%$ 15. $\frac{0.6}{100}=0.6%$

write a percent to express each of the following.

1. 29 out of 100 power boats had a radar navigation system. 29%.
2. 13 out of 100 students in the class.
3. 78 out of 100 new car owners were satisfied with their purchase. 78%.
4. 64 out of 100 college sophomores are their selection of a major. 64%.
5. 32 out of 100 people who ate out chose to eat at a fast - food restaurant. 32%.
6. 8 out of 100 people overdraw their count at least twice per year. 8%.

write each percent as a decimal

1. 51% 24. 42% 25. 7% 26. 6% 27. 20% 28. 40% 29. 43.6%

0.51 0.42 0.07

1. 0.3% 32. 0.9% 33. 0.72% 34. 0.61% 35. 126% 36. 175% 37. 366%

0.003 0.009
write each decimal as a percent.

1. 0.74 40. 0.66 41. 0.50 42. 0.40 43. 0.08 44. 0.03 45. 0.563

74%

1. 0.002 48. 0.009 49. 0.0057 50. 0.0026 51. 1.35 52. 1.86 53. 2.72
2. bob paid 0.27 of his income for federal income tax.
3. sally spends 0.31 of her income for

Explanation:

Step1: Recall percent - decimal conversion rules

To convert a percent to a decimal, we drop the % symbol and move the decimal point 2 places to the left. To convert a decimal to a percent, we move the decimal point 2 places to the right and add the % symbol.

Step2: Convert fractions to percents

Fractions with a denominator of 100 are easily written as percents. For example, for $\frac{45}{100}$, since the denominator is 100, it is 45%.

Step3: Convert ratios to percents

When given a ratio like 29 out of 100, it is simply written as 29% because percent means "per - hundred".

Step4: Convert percents to decimals

For 51%, we drop the % symbol and move the decimal point 2 places to the left, getting 0.51.

Step5: Convert decimals to percents

For 0.74, we move the decimal point 2 places to the right and add the % symbol, getting 74%.

Answer:

The work in the picture shows correct applications of percent - decimal - fraction conversion rules.