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In mathematics, understanding the "place value" of a digit within a number is crucial for mastering number representation, especially when working with expanded form. Each digit in a number has a unique place value, which determines how much that digit contributes to the overall numerical value. The place value of a digit increases tenfold as you move left along the number. For instance, in the number 71, each digit stands for a certain place value: the digit "7" represents the tens place, while "1" represents the ones place. This concept is important because it helps us express numbers in different ways, like expanded form, allowing a clear breakdown of their value.

The "tens place" is a fundamental aspect of understanding and working with numbers in expanded form. When viewing any number, the tens place is typically the second digit from the right. This digit indicates how many groups of ten are present in the overall number. In the example of 71, the digit "7" occupies the tens place, signifying that there are 7 sets of ten within the number. To verify this, you multiply 7 by its place value of 10, resulting in 70. Recognizing the significance of the tens place is key to accurately representing numbers in expanded notation, where each digit is expanded to show its full contribution to the number's value.

The "ones place" is the first position in a whole number, furthest to the right, that indicates the unitary quantities. Each digit here essentially stands by itself without any multiplication by ten or further inception of rules of magnitude. In our example, the digit "1" in 71 is in the ones place. So, it contributes exactly one to the overall value of the number. You can express it mathematically by noting that it is 1 multiplied by 1. This simple calculation helps maintain precision when converting the whole number into its expanded form, which is a sum of each place's contribution: in this case, 70 plus 1. Such a realization is pivotal when deconstructing any number to grasp its full value intricately.