High School Placement Test (HSPT) Practice Test

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Prepare for the High School Placement Test (HSPT) with our quiz. Utilize flashcards and multiple choice questions, each with hints and explanations. Set yourself up for success on test day!

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What is the result of 10 ÷ 0?

  1. Undefined

  2. 0

  3. 10

  4. Infinity

The correct answer is: Undefined

Dividing any number by zero is considered undefined in mathematics. When we attempt to perform the operation of division, we are essentially asking how many times a number can fit into another. For example, when dividing 10 by 2, we are asking how many times 2 can fit into 10, which gives us 5. However, when trying to divide by zero, there is no number that could be multiplied by 0 to yield a non-zero dividend like 10. This leads to the conclusion that division by zero does not provide a clear or meaningful result, hence it is labeled as undefined. In arithmetic, any operation that cannot yield a distinct numerical answer falls into this category. Therefore, when considering the division of 10 by 0, the answer is indeed classified as undefined.