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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:
Approximate the multiplication:
- Start by estimating [tex]7982413[/tex] as [tex]8 \times 10^6[/tex] for simplicity.
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].
Simplify the expression:
- [tex]0.000246 \times 8,000,000 = 1.968 \times 10^3[/tex].
- This simplifies to [tex]1968[/tex].
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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