• \( \Large \left(9.95\right)^{2} \times \left(2.01\right)^{2} = 2 \times \left(?\right)^{2} \)=

    A) 12

      B) 15

    C) 25

      D) 20

    Correct Answer:
      D) 20

    Description for Correct answer

    \( \Large \left(9.95\right)^{2} \times \left(2.01\right)^{3} = 2 \times \left(?\right)^{2} \)

    Here, 9.95 is approximated to 10. 2.01 is approximated to 2 because calculating the squares or cubes of whole number is much easier than to calculate the square or cube of decimal numbers 

    \( \Large 2 \times \left(?\right)^{2} = \left(10\right)^{2} \times \left(2\right)^{3} = 100 \times 8 = 800 \)

    = \( \Large \left(?\right)^{2} = 800 \)

    = \( \Large \left(?\right)^{2} = 400 \)

    Therefore, \( \Large ? = 20 \)


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