- Identify the hundreds place: In 517, the digit 5 is in the hundreds position.
- Identify the hundredths place: In 0.6472, the second digit after the decimal is 4.
- Identify the thousandths place: In 0.6472, the third digit after the decimal is 7.
- Final values: hundreds: \(\boxed{5}\), hundredths: \(\boxed{4}\), thousandths: \(\boxed{7}\).
Explanation
- Identifying the Hundreds Place
The given number is 517.6472. This number consists of an integer part (517) and a decimal part (0.6472). To identify specific place values, we break down each part accordingly. In the integer part, digits from right to left follow the order: ones, tens, hundreds, and so on. For the number 517, the digit '7' is in the ones place, '1' is in the tens place, and '5' is in the hundreds place. Thus, the digit in the hundreds place is 5.
- Identifying the Hundredths and Thousandths Places
In the decimal part, digits from left to right follow the order: tenths, hundredths, thousandths, ten-thousandths, and so on. The decimal portion of 517.6472 is 0.6472. Analyzing this part: the first digit after the decimal point '6' is in the tenths place, the second digit '4' is in the hundredths place, the third digit '7' is in the thousandths place, and the fourth digit '2' is in the ten-thousandths place. Therefore, the digit in the hundredths place is 4, and the digit in the thousandths place is 7.
- Summary of Place Values
Combining the results from our analysis, we have:
- The hundreds place is 5.
- The hundredths place is 4.
- The thousandths place is 7.
These values represent the specific digits within the provided number \(517.6472\).
Examples
Understanding place value is essential in everyday life, especially when dealing with financial transactions. For example, if a gas station shows a price like \$3.479 per gallon, being able to identify that the '7' is in the hundredths place and the '9' is in the thousandths place helps you understand how rounding works when you are billed. Similarly, when managing a budget or reading scientific measurements, precision depends on knowing exactly which digit occupies which place value. Mastering these concepts ensures you can accurately interpret data and manage numerical values with confidence.