Scientific Notation: Multiplication, Division, Addition And Subtraction

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  • 1/10 Questions

    Is the following numbers in proper scientific notation? 23.2 x 102

    • Yes, this is proper scientific notation
    • No, this is not proper scientific notation
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About This Quiz

This quiz assesses understanding of scientific notation, including multiplication, division, addition, and subtraction of numbers expressed in this format. It tests the ability to perform calculations manually, reinforcing the concept's practical application in mathematics.

Scientific Notation: Multiplication, Division, Addition And Subtraction - Quiz

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  • 2. 

    What is this equivalent to? 6.2 x 10-3

    • .062

    • .62

    • 0.0062

    • 6,200

    Correct Answer
    A. 0.0062
    Explanation
    The given number, 6.2 x 10-3, is in scientific notation. In scientific notation, the number is expressed as a decimal number multiplied by a power of 10. In this case, 6.2 x 10-3 means 6.2 multiplied by 10 raised to the power of -3. To convert this to a decimal number, we move the decimal point three places to the left, resulting in 0.0062. Therefore, the correct answer is 0.0062.

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  • 3. 

    Find the answer:  9.0 x 103                          3.0 x 102

    • 3.0 x 10^5

    • 3.0 x 10^6

    • 3.0 x 10^1

    • 3

    • 3.0 x 10^-1

    Correct Answer
    A. 3.0 x 10^1
    Explanation
    Dividing scientific notation: SUBTRACT the exponenent in the numerator from the exponent in the demoninator:
    9.0 x 10^3 divided by 3.0 x 10^2 =
    (9 divided by 3)x 10^(3-2)

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  • 4. 

    Do NOT use your calculator. UNDERSTAND how to work with scientific notation!(1012 is the same as 10^12)(3.0x 107) (4.0 x 105)  =

    • 12.0 x 10^12

    • 12.0 x 10^35

    • 1.2 x 10^13

    • 1.2 x 10^36

    Correct Answer
    A. 1.2 x 10^13
    Explanation
    When MULTIPLYING in scientific notation, ADD the exponent.
    Make sure you change your answer to proper scientific notation. (3.0x 10^7) (4.0 x 10^5)= (3.0 x 4.0)x 10^(7+5)

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  • 5. 

    (8.0 x 10-2)  x  (3 x 10-3)  =

    • 2.4 x 10^-5

    • 24.0 x 10^-5

    • 24.0 x 10^-6

    • 2.4 x 10^-4

    Correct Answer
    A. 2.4 x 10^-4
    Explanation
    When multiplying with scientific notation: add the exponents.
    (8.0 x 10^-2) x (3 x 10^-3) = (8 x 3)x 10^(-2 + -3) = 24 x 10^-5 = 2.4 x 10^-4

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  • 6. 

    (3.0 x 102) + (4.0 x 103) =

    • 4.3 x 10^2

    • 7.0 x 10^-1

    • 4.3 x 10^3

    • 7.0 x 10^5

    Correct Answer
    A. 4.3 x 10^3
    Explanation
    Adding and Substracting in Scientific Notation REQUIRES the exponents to be the SAME. EASIEST way to do this problem:
    Change into "regular numbers" and then put your answer in proper scientific format:
    (3.0 x 10^2) + (4.0 x 10^3) = 300 + 4,000 = 4,300 =
    4.3 x 10^3

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  • 7. 

     (6.0 x 102) x (5.0 x 104)  =              (2.0 x 10 3)

    • 1.5 x 10^4

    • 1.5 x 10^8

    • 15 x 10^4

    • 6.0 x 10^4

    Correct Answer
    A. 1.5 x 10^4
    Explanation
    (6 x 5 divided by 2)x 10 ^ (2 + 4 -3)= 15 x 10^3
    = 1.5 x 10^4

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  • 8. 

    (6.0 x 102) + (4.0 x 104) =            (2.0 x 102)

    • 5.0 x 10^4

    • 2.03 x 10^2

    • 1.2 x 10^8

    • 5.0 x 10^5

    Correct Answer
    A. 2.03 x 10^2
    Explanation
    Change the numerator into "regular" numbers, calculate and change back to scientific notation (40,000 + 600 = 40,600 = 4.06 x 10^4) then divide by 2.0 x 10^2)

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  • 9. 

    (8.0 x 10-2)   =  (2 x 10-3)    

    • 2 x 10^1 = 20

    • 4 x 10^1 = 40

    • 4 x 10^-5

    • 4.0 x 10^-1

    Correct Answer
    A. 4 x 10^1 = 40
    Explanation
    Division: Subtract the exponents: (-2) - (-3) = +1

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  • 10. 

    (9.0 x 103)  -  (4.0 x 102)

    • 5.0 x 10^1

    • 13.0 x 10^5

    • 9.4 x 10^3

    • 5.0 x 10^5

    • 8.6 x 10^3

    Correct Answer(s)
    A. 9.4 x 10^3
    A. 8.6 x 10^3
    Explanation
    When substrating in scientific notation, the exponents MUST be the same. EASIEST way to do the problem: Change to "regular numbers", calculate and then change your answer back to scientific notation: (9.0 x 10^3)-(4.0 x 10^2)=
    9,000 - 400 = 8,600 = 8.6 x 10^3

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Quiz Review Timeline (Updated): Oct 13, 2023 +

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  • Current Version
  • Oct 13, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 22, 2010
    Quiz Created by
    Kwchiro
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