Exam 1: The Real Number System

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Choose the one alternative that best completes the statement or answers the question. Identify the number as prime, composite, or neither. -59

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If the following number is a composite number, write it as a product of prime factors. Otherwise, identify it as prime. -90

(Multiple Choice)
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Provide an appropriate response. -Correct and explain the error that a student made when he added 0. 2 3 + 3 + 90. 3 this way: Provide an appropriate response. -Correct and explain the error that a student made when he added 0. 2 3 + 3 + 90. 3 this way:      9 5. 6 9 5. 6

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Write as a decimal. -78%

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Write the answer as a fraction in lowest terms. -1 Write the answer as a fraction in lowest terms. -1   + 1  + 1 Write the answer as a fraction in lowest terms. -1   + 1

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Provide an appropriate response. -What is wrong with adding decimal numbers in the following example? 25 + 0. 3 3 = 0. 5 8

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Answer the question. -If the numerator and the denominator of a fraction are the same prime number, then the fraction is always in lowest terms.

(True/False)
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If the following number is a composite number, write it as a product of prime factors. Otherwise, identify it as prime. -2200

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Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. -88 - 0.0193

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Write the answer as a fraction in lowest terms. -Write the answer as a fraction in lowest terms. -  -  - Write the answer as a fraction in lowest terms. -  -

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Provide an appropriate response. -Select a decimal percent with two digits and write it as a fraction. Select a fraction with a three-digit denominator and write it as a percent. Explain each step of your work.

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Answer the question. -Which of the following can be written as a mixed number?

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Write the answer as a fraction in lowest terms. -Write the answer as a fraction in lowest terms. -  ÷  ÷ Write the answer as a fraction in lowest terms. -  ÷

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Write the answer as a fraction in lowest terms. -6 . 1 Write the answer as a fraction in lowest terms. -6 . 1

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Change the fraction to a decimal. Round as indicated. -Change the fraction to a decimal. Round as indicated. -  thousandths thousandths

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Solve the problem. -Where Jane lives, a sales tax of 2% is added to all purchases. If she buys a camera that costs $ 730, how much will she pay for the camera, including the tax? Round your answer to the nearest cent.

(Multiple Choice)
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Provide an appropriate response. -Explain why the decimal points must be lined up vertically when adding decimal numbers.

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Write the answer as a fraction in lowest terms. -Write the answer as a fraction in lowest terms. -  -  - Write the answer as a fraction in lowest terms. -  -

(Multiple Choice)
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Solve the problem. -To obtain a certain shade of paint, Peter mixed 1 Solve the problem. -To obtain a certain shade of paint, Peter mixed 1   gallons of white paint with 8   gallons of brown and 4   gallons of blue paint. How much paint did he have? gallons of white paint with 8 Solve the problem. -To obtain a certain shade of paint, Peter mixed 1   gallons of white paint with 8   gallons of brown and 4   gallons of blue paint. How much paint did he have? gallons of brown and 4 Solve the problem. -To obtain a certain shade of paint, Peter mixed 1   gallons of white paint with 8   gallons of brown and 4   gallons of blue paint. How much paint did he have? gallons of blue paint. How much paint did he have?

(Multiple Choice)
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Write the fraction as a decimal using the bar notation. -Write the fraction as a decimal using the bar notation. -

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