zMath Intervention Math  - Unit 6: Scientific Notation and Formulas
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Powers of Ten

For the first five problems, find the equivalent expression. State the letter of the correct answer.

1) What number is equivalent to the given power of ten?

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2) What power of ten is equivalent to the given fraction?

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3) What power of ten is equivalent to the given expression?

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4) What power of ten is equivalent to the given fraction?

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5) What is the equivalent positive exponent form for the given number?

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6) True or False. The given power of ten is equivalent to the given fraction.

7) Joyce won $1,000 at the school’s annual fundraiser. She has $1,000 in $100 bills. How many $100 bills does she have?

8) The brittle star is a starfish. Researchers have found a species of brittle starfish with a skeleton that is coated with eye-like lenses. These lenses allow the starfish to sense light. The surface of each crystal has an area of 0.000000001 square meters. What is the area expressed as a power of ten? State the letter of the correct answer.

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Standard Form for Numbers in Scientific Notation

9) What is the standard form for the given expression?

10) What is the standard form for the given expression?

11) What is the standard form for the given expression?

12) What is the standard form for the given expression?

Express Numbers in Scientific Notation

13) What is the scientific notation of the given number? State the letter of the correct answer.

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14) Describe the shortcut for finding the power of ten (exponent) in the previous problem.

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15) What is the scientific notation of the given number? State the letter of the correct answer.

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16) What is the scientific notation of the given number? State the letter of the correct answer.

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17) Describe the shortcut for finding the power of ten (exponent) in the previous problem.

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18) What is the scientific notation of the given number? State the letter of the correct answer.

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19) Carry's computer holds 750 gigabytes of data. One gigabyte is approximately one billion bytes. Her computer holds approximately 750,000,000,000 bytes of data. Express this number in scientific notation. State the letter of the correct answer.

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Compute in Scientific Notation

For the next eight problems, compute using scientific notation. State the letter of the correct answer.

20) What is the sum expressed in scientific notation?

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21) What is the difference expressed in scientific notation?

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22) What is the product expressed in scientific notation?

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23) What is the quotient expressed in scientific notation?

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24) What is the product expressed in scientific notation?

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25) What is the quotient expressed in scientific notation?

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26) The earth's average distance from the sun is 92,960,000 miles. Venus’s distance from the sun is an average of 67,230,000 miles. The Earth is how much farther from the sun than Venus? Express the answer in scientific notation.

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27) The diameter of the earth at its equator is about 8000 miles. The diameter of Saturn at its equator is about 74,000 miles. Saturn's diameter is about how many times as large as the Earth's diameter?

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Formulas

For the remaining problems, solve the problems using a formula and label all answers correctly.

28) Jeremy traveled 345 miles to visit his cousin in North Carolina. If he traveled at a rate of 60 miles per hour, how long did the trip take? (Hint: Use the formula d = rt.)

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29) Lynn has $5,000 in a money market account that pays 4% simple interest yearly. (a) How much interest will be earned at the end of the first year? (b) What is the total amount of money that will be in the account at the end of the year? (Hint: Use I = p r t to calculate the interest.)

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30) Joel's bank figures interest semi-annually; that is, every 6 months. How much interest will $4,000 earn at 3.5% for 6 months? (Hint: Write 6 months as a fractional part of a year.)

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31) In the last football game, Conner ran 140 yards and had 25 carries. Conner averaged how many yards per carry? Refer to the given figure for a formula to use in this problem.

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32) Carry traveled 770 miles and used 22 gallons of gas. Carry’s car averaged how many miles per gallon? Refer to the given figure for a formula to use in this problem.

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33) Ohm's law is an important law in science. This formula relates voltage, current, and resistance. Ohm's law states that voltage equals amperes of current multiplied by resistance in ohms. If a microwave oven draws 5 amperes of current when connected to a 120-volt circuit, what is the resistance? Use Ohm's Law to solve.

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