Arizona Educator Proficiency Assessments (AEPA) Practice Exam 2025 – Your All-in-One Guide to Exam Mastery!

Question: 1 / 475

In which number system does the position of a digit determine its value?

Binary System

Decimal System

Place Value System

The place value system is a numerical system in which the position of a digit in a number determines its value. In this system, each digit has a value that is determined by its position relative to the other digits. For example, in the number 345, the digit 3 is in the hundreds place, so it represents 300; the digit 4 is in the tens place, representing 40; and the digit 5 is in the ones place, representing 5. The total value of the number is the sum of these values, which highlights how crucial the positions of the digits are.

While both the binary and decimal systems use the place value system, the broader concept is that the positional value is what characterizes the place value system. Therefore, the correct response emphasizes the system's defining feature—the dependence of a digit's value on its position within the overall number. The rational number system, on the other hand, is focused on numbers that can be expressed as a fraction of two integers, which does not inherently include the positional value concept central to the place value system.

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Rational Number System

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