zMATH 170  - Unit 8: Scientific Notation, Problem Solving – Fraction and Decimal Applications

Standard Form for Numbers in Scientific Notation


1)

Find the standard form.  9 × 103


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2)

Find the standard form. 2.8 × 106


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3)

Find the standard form. 5.22 × 105


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4)

Find the standard form. 9.04 × 107


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Express Large Numbers in Scientific Notation


5)

Find the scientific notation for 50,000.


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6)

Find the scientific notation for 2,000,000.


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7)

Find the scientific notation for 700,000,000.


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8)

Find the scientific notation for 9,000.


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9)

Find the scientific notation for 298,000.


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10)

Find the scientific notation for 43,000,000.


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11)

Find the scientific notation for 6,429,000,000.


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12)

Find the scientific notation for 76,000.


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Now we’ll apply our knowledge of decimals and practice problem solving.


13)

The average precipitation in Columbus, OH, is 38.09 inches per year. What is the average precipitation per month? Round answer to the nearest hundredth.


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14)

In the United States, the life expectancy is “Male: 73.6 years (1997 est.)” and “Female: 79.4 years (1997 est.)”. How much longer is the life expectancy of a female than a male?


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15)

In Zimbabwe, the life expectancy of a male is 39 years. How many years longer is a male in the United States expected to live than a male in Zimbabwe? (See problem #14 for life expectancy of US male.)


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16)

In Zimbabwe, the life expectancy of a female is about half as much as the life expectancy of a female in the United States. Approximately, what is the life expectancy of a female in Zimbabwe? (See problem #14 for life expectancy of a US female.)


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17)

Aleah’s teacher scores her students’ tests to the nearest tenth based on points. On the first three tests, Aleah scored 43.5, 48.9, and 34.7. To receive an A in the class, Aleah must score at least 180 points. If Aleah has only one more test to take, what is the least amount of points that she must score to “Ace” the class?


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18)

Using the information from problem #17, state the grade that you think Aleah will make for the class if the maximum number of points she can score on the fourth test is 50. Please explain.


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19) In a certain video game, George receives 7.5 points for each obstacle he jumps. He must score 100 points to advance to the next level. If he jumped 13 obstacles in the first level of the game, did he score enough points to advance to the next level? Please explain.

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Review


20)

Solve.


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21)

Ella is purchasing  6 3/4 yards of material at $1.19 per yard.  Find the total cost of the material.  (Round answer to nearest cent.)


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22)

Find the product.


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23)

Find the product.


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24)

If a chain is made up of links that are 1 1/4  inches long. What would be the number of links in a 5 foot chain?


25)

Evaluate.   8–2


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