Scientific Notation -standard Form

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Scientific Notation -standard Form - Quiz

Scientific Notation a special way of writing numbers that are too big or too small to be conveniently written in decimal form. Scientific notation has a number of useful properties and is commonly used in calculators and by scientists, mathematicians and engineers.

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Questions and Answers
  • 1. 

    SELECT ALL OF THE CHOICES IN SCIENTIFIC NOTATION BY CHECKING BELOW

    • A.

      536,000

    • B.

      5.36 X 10 ^ 5

    • C.

      0.356

    • D.

      7.8 X 10 ^ -3

    • E.

      3.56 X 10 ^2

    • F.

      450

    • G.

      5.67 X 10 ^ -5

    • H.

      0.700 X 10^5

    • I.

      927.00

    Correct Answer(s)
    B. 5.36 X 10 ^ 5
    D. 7.8 X 10 ^ -3
    E. 3.56 X 10 ^2
    G. 5.67 X 10 ^ -5
    Explanation
    The correct answer choices are all written in scientific notation, which is a way to express very large or very small numbers using powers of 10. In scientific notation, a number is written as a coefficient multiplied by 10 raised to a power. For example, 5.36 x 10^5 means 5.36 multiplied by 10 raised to the power of 5. The other answer choices that are also in scientific notation follow the same pattern, with a coefficient and a power of 10.

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  • 2. 

    Which of the following numbers is correctly expressed in scientific notation?

    • A.

      0.52 x 10<sup>4</sup>

    • B.

      12.7 x 10<sup>-2</sup> 

    • C.

      3.06 x 10<sup>5</sup> 

    • D.

      0.0084 x 10<sup>3</sup>

    Correct Answer
    C. 3.06 x 10<sup>5</sup> 
    Explanation
    Scientific notation expresses numbers as a coefficient between 1 and 10 multiplied by a power of 10. This simplifies very large or small numbers. For example, 3,000,000 can be written as 3 x 10<sup>6</sup>. The coefficient is 3, and the power of 10 indicates how many places the decimal moves. A positive exponent (like 6) means a large number; a negative exponent would indicate a very small number.

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  • 3. 

    The Earth's circumference is approximately ____________________. In scientific notation, this is 4 X 107 m.

    Correct Answer
    40,000,000 m
    40,000,000
    40000000 m
    40000000
    40,000,000m
    40000000m
    Explanation
    The Earth's circumference is approximately 40,000,000 meters. This can also be expressed as 4 X 10^7 meters in scientific notation.

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  • 4. 

    Is this statement true or false? The Earth's mass is about 5,973,600,000,000,000,000,000,000 kg. In scientific notation, this is written as  5.9736   X 1024 kg.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The statement is true because the Earth's mass is indeed approximately 5,973,600,000,000,000,000,000,000 kg, which can be expressed in scientific notation as 5.9736 x 10^24 kg.

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  • 5. 

    Find the answer to the following question in Scientific Notation: 0.0000056 =

    • A.

      56 X 10 ^-6

    • B.

      5.6 X 10 ^6

    • C.

      5.6 X 10 ^-6

    • D.

      5.6 X 10 ^-5

    Correct Answer
    C. 5.6 X 10 ^-6
    Explanation
    The given number is 0.0000056, which can be written in scientific notation as 5.6 x 10^-6. This is because the decimal point is moved 6 places to the right, resulting in a coefficient of 5.6, and the exponent is negative since the original number is less than 1.

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  • Current Version
  • Dec 06, 2024
    Quiz Edited by
    ProProfs Editorial Team
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    Fpaige
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