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

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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