Final answer:
In the number 0.975, the boldface number could be in the tenths, hundredths, or thousandths place. Without specific instruction on which number is bold, the place value cannot be determined with certainty.
Step-by-step explanation:
The student has asked, "What place is the boldface number in 0.975?" To answer this question, we note that each position to the right of the decimal point represents a fractional part of a whole number. In the number 0.975, the digits represent the tenths, hundredths, and thousandths place, respectively.
For the number 0.975, the boldface number could refer to '9', '7', or '5'. Without specific instructions on which digit is bold, we cannot provide a definitive answer. Typically, in this format, if '9' were in bold, it would be in the tenths place; if '7' were in bold, it would be in the hundredths place; and if '5' were in bold, it would be in the thousandths place.
In math, every digit in a number has a place value. Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
For example, the place value of 7 in 3,743 is 7 hundred or 700. However, the place value of 7 in 7,432 is 7 thousand or 7,000. Here, we can see that even though the digits are the same in both numbers, their place value changes with the change in its position.