NES Elementary Education Subtest 2 Practice Exam

In the decimal system, what does a digit in the negative power of ten correspond to?

A digit to the left of the decimal A digit to the right of the decimal A digit in the thousands place A digit in the hundreds place

Correct Answer:

A digit to the right of the decimal

Explanation:

In the decimal system, a digit in the negative power of ten indeed corresponds to a position to the right of the decimal point. When dealing with negative exponents of ten, each decrease by one in the exponent represents a division by ten. For example, \(10^{-1}\) represents 0.1, \(10^{-2}\) represents 0.01, and so on. Thus, any digit placed in these positions will indicate fractional values, contributing to the overall number as parts of a whole rather than whole numbers themselves. This is fundamental in understanding how decimal fractions work and allows for precise representation of values less than one. This concept is essential for grasping more advanced mathematical topics, such as real numbers and their properties within the decimal system.

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