MEGA Elementary Education Multi-Content Practice Test

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Prepare for the MEGA Elementary Education Test. Study with multiple choice questions and flashcards, complete with hints and explanations. Ace your exam!

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Which expression represents the output of the algorithm for multiplying a number and moving its decimal?

400n
25n
n ÷ 400
n ÷ 25

The correct answer is: n ÷ 25

To determine the correct expression that represents the output of the algorithm for multiplying a number and moving its decimal, it's essential to understand how decimal multiplication works. When you multiply a number by a certain factor, you effectively move the decimal point to the right. For instance, multiplying by 10 moves the decimal one place to the right, while multiplying by 100 moves it two places to the right. If a number $ n $ is multiplied by 25, the operation can be expressed mathematically as $ n \times 25 $. In the context of the given options, if we consider the operation of moving a decimal to the left, it can be seen as the inverse of multiplication—dividing instead. Specifically, if the multiplication is by 25, then to reverse that operation—moving the decimal back—would involve dividing by 25. Thus, $ n $ divided by 25 accurately represents the original number reverted back after it was multiplied by 25. This understanding clarifies why $ n \div 25 $ represents the correct relationship between multiplying and moving decimal points in this context. Therefore, the expression reflects the expected output of the described algorithm for adjusting the decimal as per the multiplication applied.