Place Value and Ordering：練習問題

Which of the following numbers is the largest?

Arrange the following numbers in ascending order:
\( 0.303, \frac{1}{3}, 31\%, 0.33 \)

Which of the following is the correct digit for the hundredths place in the number \( 724.839 \)?

Which of the following is the value of the digit 7 in the number \( 2.074 \)?

What is the value represented by the digit 6 in the decimal number \(15.462\)?

Identify the digit in the hundredths place for the number \( 742.193 \).

Determine which of the following numbers is the smallest:
\( 0.22, \frac{1}{4}, 23\%, 0.205 \)

Consider the number \( N = 0.d_1 d_2 d_3 \). If the digit \( d_1 \) is twice the digit \( d_2 \), and \( d_2 \) is three more than \( d_3 \), find the largest possible value of \( N \).

Consider the number \( 4,705,321.89 \).

(a) Identify the place value of the digit \( 7 \).
(b) What is the value of the digit \( 9 \)?
(c) Round this number to the nearest thousand.

Four students measured the length of the same desk using different units. Their results are shown below:

Student P: \( 1.24 \text{ m} \)
Student Q: \( \frac{5}{4} \text{ m} \)
Student R: \( 123.5 \text{ cm} \)
Student S: \( 124.2 \text{ cm} \)

(a) Convert all lengths into metres (\( \text{m} \)) in decimal form.
(b) Arrange the students in descending order of the lengths they measured.
(c) Find a length (in \( \text{m} \)) that lies exactly halfway between the measurements of Student P and Student Q.