1. The problem asks about place values relative to the decimal point.
2. The place value 3 places to the left of the decimal point is the hundreds place because the places to the left go: ones, tens, hundreds.
3. The place value 3 places to the right of the decimal point is the thousandths place because the places to the right go: tenths, hundredths, thousandths.
4. The decimal point is always located between the ones place and the tenths place.
5. For the number 534.1728:
- The digit in the hundredths place is 7 (the second digit to the right of the decimal).
- The digit in the hundreds place is 5 (the third digit to the left of the decimal).
6. The digit in the place of least value is 8 (the last digit, in the ten-thousandths place).
The digit of greatest value is 5 (in the hundreds place).
7. Place values for digits:
- 8 is in the ten-thousandths place.
- 1 is in the tenths place.
- 4 is in the ones place.
- 3 is in the tens place.
8. The digit in the thousandths place is 2.
- As a decimal, its value is $0.002$.
- As a fraction, its value is $\frac{2}{1000}$.
9. The digit in the tenths place is 1.
- As a decimal, its value is $0.1$.
- As a fraction, its value is $\frac{1}{10}$.
Final answers summarized:
(1) Hundreds place
(2) Thousandths place
(3) Ones place and tenths place
(4) Hundredths digit: 7, Hundreds digit: 5
(5) Least value digit: 8, Greatest value digit: 5
(6) 8: ten-thousandths, 1: tenths, 4: ones, 3: tens
(7) Thousandths place value: $0.002 = \frac{2}{1000}$
(8) Tenths place value: $0.1 = \frac{1}{10}$
Place Value Decimals 594C99
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