Answer :
Final answer:
None of the provided options make the equation 89 × (100⁻²)= 98 × (100⁻²) true. This is because 98 would have to be reduced to 89 to balance the equation, but none of the available options has a value of 9.
Explanation:
The question requires determining what value should be put in the empty box to make the equation 89 × (100⁻²)= 98 × (100⁻²) true. Here, we see a multiplication equation where the same quantity, (100⁻²), is being multiplied with two different numbers, 89 and 98. Therefore, for the equation to hold true, the numbers 89 and 98 must be made equivalent somehow.
The only way to make 89 and 98 equal is by subtracting 9 from 98, which leaves us with 89, thus making the equation true. However, none of the options presented in the question possess the value of 9, which implies that the given equation cannot be made true with these options.
In conclusion, unfortunately, none of the provided choices -- A=89, B=11, C=2, D=0 -- could be placed in the empty box to make the given mathematical statement true.
Learn more about Mathematical Equality here:
https://brainly.com/question/36771213
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