The correct answer is: " 2.3 * 10⁵ " .
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Step-by-step explanation:
Given: " 23 * 2⁴ * 5⁴ " ; write in scientific notation.
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First: We shall solve the problem.
Second: We shall write the solution in "scientific notation".
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" 2⁴ = 2 * 2 * 2 * 2 ;
= (2 * 2) * 2 * 2 ;
= 4 * 2 * 2 ;
= (4 * 2) * 2 ;
= 8 * 2 ;
= 16 . "
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" 5⁴ = 5 * 5 * 5 * 5 ;
= (5 * 5) * 5 * 5 ;
= 25 * 5 * 5 ;
= (25 * 5) * 5 ;
= 125 * 5 ;
= 625. "
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23 * 2⁴ * 5⁴ ;
= 23 * 16 * 625 ;
= 230000 ;
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Now, we shall write this answer in scientific notation:
This is a whole number.
So we take the first digit, add a decimal point, and include the all the numbers after that are not "all, trailing zeros":
and then write:
" * 10^(enter number of digits following that decimal point) " ;
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So: " 230000 " = 2.3 * 10⁵ " .
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The correct answer is: " 2.3 * 10⁵ " .
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Hope this is helpful to you!
Best wishes!
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