zMath 160  - Unit 14: Percents, Fractions, and Decimals

Write a fraction and percent for each of the shaded areas in the decimal square models in problems #1 through #4. (Sample answer: 7/10, 70%)


1)

Solve:


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2)

Solve:


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3)

Solve:


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4)

Solve:


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Fractions to Percents


5)

Using a decimal square, color in 9/10 of the squares.  Write 9/10 as a percent.


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6)

Using a decimal square, color in 3/4 of the squares. Write 3/4 as a percent.


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Improper Fractions to Percents Over 100


7)

Using two decimal squares, color in 3/2 of the squares.  Write 3/2 as percent.


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8)

Using a decimal square, color in enough squares to represent the whole number, 1. Write 1 as a percent.


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9)

Using two decimal squares, color in enough squares to represent 1 3/10.   Write 1 3/10 as a percent.


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Percents Less than One


10)

Write 3/4% as a fraction.


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11)

Write 1/4% as a decimal.


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12)

Express 3/4 as a percent and as a decimal.


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13)

Express 0.65 as a fraction and as a percent.


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14)

Express 20% as a decimal and as a fraction.


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15)

Express 125% as a fraction and as a decimal.


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Review


16)

Round 72.999 to the nearest tenth.


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17)

Find the product and simplify the answer to an equivalent decimal. 9.235 × 100


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18)

Divide each of the following problems and look for a pattern and rule pertaining to the location of the decimal point in the quotient that could be stated about dividing decimals by 10, 100, or 1000. State the answers to each of the problems and state the rule that you developed.


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19)

Test the rule that you developed in #18 on “4.6 ÷ 1000”. State the answer and if the rule worked for the problem.


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20)

Express 1/3 as a repeating decimal and round to the nearest hundredth.


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21)

State the letter of the correct answer. The meteorologist reported that 0.79 of an inch of rain fell in a 30-minute time period. This is closest to which fraction of an inch below?


22)

Antonio is 6 foot 3 inches tall. What mixed number in feet could represent his height?


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23)

Suppose you find an ad like this in the local newspaper. How much would your monthly payments be if you pay for the car over a three-year period of time? Explain your solution.


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24)

If you had a down payment of $2,895.42 for the truck in problem number 23, how much would the payments be over the three-year period of time? Explain the solution.


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25)

What is 0.4 of a quarter?


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