High School

Which of the following numbers is closest to 0.000246 x 7982413?

A. 2
B. 20
C. 200
D. 2000
E. 20000

Answer :

To find which number is closest to [tex]0.000246 \times 7982413[/tex], we need to perform the multiplication and compare the result with the given options.

Step-by-Step Calculation:

  1. Approximate the multiplication:

    • Start by estimating [tex]7982413[/tex] as [tex]8 \times 10^6[/tex] for simplicity.

  2. Perform the approximate multiplication:

    • Calculate [tex]0.000246 \times 8 \times 10^6[/tex].
    • First calculate [tex]8 \times 10^6 = 8,000,000[/tex].
    • Now multiply this by [tex]0.000246[/tex].

  3. Simplify the expression:

    • [tex]0.000246 \times 8,000,000 = 1.968 \times 10^3[/tex].
    • This simplifies to [tex]1968[/tex].

  4. Compare with the options:

    • We have: A. 2, B. 20, C. 200, D. 2000, E. 20000
    • [tex]1968[/tex] is closest to option D. 2000.

Thus, the number closest to [tex]0.000246 \times 7982413[/tex] is D. 2000.

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