Find the Place Value: Locating 6 in 16,542

To solve this problem, we need to determine the place value of the digit 6 in the number 16,542. In the decimal numbering system, each digit has a specific place value based on its position in the number, moving from right to left.

Let's analyze the number 16,542 step by step:

• The digit in the rightmost position is 2, which is in the "units" place. This is the first position and has a place value of one.
• The next digit to the left is 4, in the "tens" place. This is the second position, with a place value of ten.
• Continuing left, we have the digit 5 in the "hundreds" place, the third position, giving it a place value of one hundred.
• The fourth digit from the right is 6, and it is in the "thousands" place. Therefore, the place value of 6 is "thousands."
• Finally, the leftmost digit 1 is in the "ten thousands" place, the fifth position from the right.

Since the digit 6 is in the "thousands" place, its place value is thousands.

Therefore, the place value of the digit 6 in the number 16,542 is thousands.