5-Point Practice: Converting Rational Numbers

In general, why does the US government collect taxes?

• To fund public services and infrastructure

• To increase the wealth of government officials

• To discourage economic growth

• To support foreign governments

The average American household would be better off if they got to keep all their income rather than paying some in taxes because:

• They would have more disposable income for personal use.

• They would lack essential public services funded by taxes.

• It would lead to economic instability.

Convert 27.1¢ to a fraction.

• \( \frac{271}{1000} \)

• \( \frac{27}{100} \)

• \( \frac{271}{100} \)

• \( \frac{27}{10} \)

Convert 17.8¢ to a fraction.

• \( \frac{178}{1000} \)

• \( \frac{89}{500} \)

• \( \frac{17}{80} \)

• \( \frac{356}{2000} \)

Convert the following description into a fraction, a decimal rounded to the nearest thousandth, and a percent: 7 out of 20 students in the class had income tax withheld from their paychecks.

• 7/20, 0.35, 35%

• 7/20, 0.3, 30%

• 7/20, 0.36, 36%

• 7/20, 0.34, 34%

Convert the following description into a fraction, a decimal rounded to the nearest thousandth, and a percent: 8 states in the US have no state income tax.

• 8 states in the US have no state income tax.

• Convert the description into a fraction, a decimal, and a percent: 5 states have no tax.

• Convert the description into a fraction, a decimal, and a percent: 10 states have no tax.

• Convert the description into a fraction, a decimal, and a percent: 12 states have no tax.

• 3/41, 0.073, 7.3%

• 3/40, 0.075, 7.5%

• 3/42, 0.071, 7.1%

• 3/39, 0.077, 7.7%

• $52.70 is 1/16 of $850, 0.062 rounded to the nearest thousandth, and 6.2%.

• $52.70 is 1/15 of $850, 0.067 rounded to the nearest thousandth, and 6.7%.

• $52.70 is 1/17 of $850, 0.059 rounded to the nearest thousandth, and 5.9%.

• $52.70 is 1/18 of $850, 0.056 rounded to the nearest thousandth, and 5.6%.

The fraction, decimal, and percent versions of a number represent the exact same quantity. How would you decide which way to express a given quantity?

• By considering the context in which the number is used

• By choosing the format that looks more complex

• By selecting the format that is less common

• By randomly picking any format

In 2022, 40% of taxpayers owed no federal income taxes or received tax credits back from the government. Is 40% a rational number?

• Yes, because it can be expressed as a fraction.

• No, because it cannot be expressed as a fraction.

• Yes, because it is an integer.

• No, because it is an irrational number.