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Thirteen and three hundred ninety-five ten thousandths
13.0395
Thirty and two hundred seventy-nine thousandths
Convert Decimals to Fractions or Mixed Numbers
In the following exercises, convert each decimal to a fraction or mixed number.
$\mathrm{-0.00003}$
Locate Decimals on the Number Line
In the following exercises, locate each number on a number line.
$\mathrm{-0.9}$
$\mathrm{-1.6}$
Order Decimals
In the following exercises, order each of the following pairs of numbers, using $<\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}>.$
$0.7\_\_0.8$
$0.86\_\_0.69$
$0.27\_\_0.3$
$0.415\_\_0.41$
$\mathrm{-0.1}\_\mathrm{-0.4}$
$\mathrm{-7.31}\_\mathrm{-7.3}$
Round Decimals
In the following exercises, round each number to the nearest tenth.
In the following exercises, round each number to the nearest hundredth.
In the following exercises, round each number to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.
Salary Increase Danny got a raise and now makes $\text{\$58,965.95}$ a year. Round this number to the nearest:
ⓐ dollar
ⓑ thousand dollars
ⓒ ten thousand dollars.
New Car Purchase Selena’s new car cost $\text{\$23,795.95}.$ Round this number to the nearest:
ⓐ dollar
ⓑ thousand dollars
ⓒ ten thousand dollars.
Sales Tax Hyo Jin lives in San Diego. She bought a refrigerator for $\text{\$1624.99}$ and when the clerk calculated the sales tax it came out to exactly $\text{\$142.186625}.$ Round the sales tax to the nearest ⓐ penny ⓑ dollar.
Sales Tax Jennifer bought a $\text{\$1,038.99}$ dining room set for her home in Cincinnati. She calculated the sales tax to be exactly $\text{\$67.53435}.$ Round the sales tax to the nearest ⓐ penny ⓑ dollar.
How does your knowledge of money help you learn about decimals?
Answers will vary.
Explain how you write “three and nine hundredths” as a decimal.
Jim ran a $\mathrm{100-meter}$ race in $\text{12.32 seconds}.$ Tim ran the same race in $\text{12.3 seconds}.$ Who had the faster time, Jim or Tim? How do you know?
Tim had the faster time. 12.3 is less than 12.32, so Tim had the faster time.
Gerry saw a sign advertising postcards marked for sale at $\u201c10\phantom{\rule{0.2em}{0ex}}\text{for}\phantom{\rule{0.2em}{0ex}}0.99\text{\xa2.\u201d}$ What is wrong with the advertised price?
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ If most of your checks were:
…confidently. Congratulations! You have achieved the objectives in this section. Reflect on the study skills you used so that you can continue to use them. What did you do to become confident of your ability to do these things? Be specific.
…with some help. This must be addressed quickly because topics you do not master become potholes in your road to success. In math, every topic builds upon previous work. It is important to make sure you have a strong foundation before you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Is there a place on campus where math tutors are available? Can your study skills be improved?
…no—I don’t get it! This is a warning sign and you must not ignore it. You should get help right away or you will quickly be overwhelmed. See your instructor as soon as you can to discuss your situation. Together you can come up with a plan to get you the help you need.
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