zMATH 170  - Unit 1: Rational and Irrational Numbers; Adding Fractions and Mixed Fractions

Rational and Irrational Numbers

For the first three problems, use a calculator to determine if the number is rational or irrational.  First state if the number is rational or irrational, and then give the decimal.  For decimals that are never-ending, write the first eight (8) digits only.


1)

Rational or Irrational? What is the decimal?


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2)

Rational or Irrational? What is the decimal?


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3)

Rational or Irrational? What is the decimal?


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For the next problem, use the computer’s calculator (usually found in Accessories) to determine if the number is rational or irrational. First state if the number is rational or irrational, and then give the decimal. Write the first 20 digits of the number.


4)

Rational or Irrational? What is the decimal?


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For the next problem, use the scientific view of the computer’s calculator program. If you do not see “pi” as a button, then look at the menu bar of the calculator program, click on “View”, and then select “Scientific”. First state if the number is rational or irrational, and then give the decimal. Write the first 20 digits of the number.


5)

Rational or Irrational? What is the decimal?


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Addition of Fractions


6)

Find the sum. Simplify as needed.


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7)

Find the sum. Simplify as needed.


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8)

Find the sum. Simplify as needed.


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9)

Find the sum. Simplify as needed.


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10)

Find the sum. Simplify as needed.


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11)

Find the sum. Simplify as needed.


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12)

Find the sum. Simplify as needed.


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13)

Find the sum. Simplify as needed.


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14)

Find the sum. Simplify as needed.


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15)

Find the sum. Simplify as needed.


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16)

Find the sum. Simplify as needed.


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17)

Find the sum. Simplify as needed.


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Review


18)

If a man can complete a job in 14 days, how much of the job can he do in 1/2 day? 


19)

One inch on a road map represents 35 miles. How many inches on a map represent 175 miles?


20)

The graph shows attendance at the school band concerts. How many more people attended the concert in December than in March?


21)

Jim and Connie start a new job on the same day. Jim works every fourth day and Connie works every sixth day. What is the fewest days before they will again be working on the same day?


22)

Shandra is shipping boxes. It costs $15 to ship each box and there is also a charge of $25 for the entire shipment. Shandra has $135 to spend on shipping. How many boxes can she ship?


23)

Find the difference. $5 – 53 cents


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24)

Find the quotient.


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25)

Find the sum. 17 thousand 238 + 2 million 345 thousand 59


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