What is the place value of the digit 4 in the number 8,765.432?

In the number 8,765.432, the digit 4 is located in the thousandths place, which refers to it being the fourth digit to the left of the decimal point. To understand this further, let's break down the place values for the whole number and the decimal part:

• The digit to the left of the decimal (8) is in the thousands place.
• The next digit (7) is in the hundreds place.

• Following that, the digit (6) occupies the tens place.
• Finally, the digit (5) represents the ones place.

For the decimal portion:

• The first digit after the decimal (4) is in the tenths place.
• The second digit (3) is in the hundredths place.
• The third digit (2) is in the thousandths place.

Thus, the digit 4 is actually in the tenths place, not the thousands place.

This emphasizes the importance of carefully identifying the role of each digit based on its position within a numerical structure. Understanding place value is crucial for performing calculations accurately in mathematics.