zMath 180  - Unit 7: The Real Number System and Order of Operations
1) What number is found in the whole numbers but not in the counting numbers?

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2) True or False. Seven (7) is a counting number, a whole number, an integer, and a rational number.

3) True or False. Four-fifths (4/5) is a rational number and an irrational number.

For the next five problems, select which subset of the real numbers the given number is a member.

4) Integer or Rational?

5) Integer or Rational?

6) Integer or Irrational?

7) Integer or Irrational?

8) Rational or Irrational?

9) Rational or Irrational?

10) Rational or Irrational?

11) Rational or Irrational?

For the next six problems, identify as an integer, rational, and/or irrational. THERE MAY BE MORE THAN ONE ANSWER.

12) Identify as integer, rational, and/or irrational.

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13) Identify as integer, rational, and/or irrational.

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14) Identify as integer, rational, and/or irrational.

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15) Identify as integer, rational, and/or irrational.

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16) Identify as integer, rational, and/or irrational.

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17) Identify as integer, rational, and/or irrational.

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For the next ten problems, simplify each expression following the order of operations.

18) Evaluate.

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19) Evaluate.

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20) Evaluate.

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21) Evaluate.

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22) Evaluate.

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23) Evaluate.

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24) Evaluate.

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25) Evaluate.

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26) Evaluate.

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27) Evaluate.

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28) True or False?

29) True or False?

Review

30) Write in standard form.

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31) Write in standard form.

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32) Write in standard form.

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33) A farmer needs to construct a bridge over a stream to connect fields for his sheep to graze. He will do most of the planning on his own. Name some measurements that will need to be made by a professional engineer.

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34) An airplane pilot is planning a flight to Hawaii. In his flight plan, he will include fuel estimates for the trip. Explain the way he can use estimates in his plan without causing any danger to the flight.

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35) Find the quotient.

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36) Find the quotient.

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37) Find the quotient.

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38) Find the difference.

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39) Find the sum.

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40) Find the difference.

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41) Estimate the square root to the nearest tenth.

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42) Estimate the square root to the nearest tenth.

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