Question

23 x 2^4 x5^4 in scientific notation

Answer 1

The correct answer is: " 2.3 * 10⁵ " .

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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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