Questions: The number of entries into four drawings were 5,689 tickets, 5,896 tickets, 5,698 tickets, and 5,869 tickets. Which shows these values in order from least to greatest?
5,689
5,698
5,869
5,896
5,689
5,698
5,896
5,869
5,698
5,689
5,896
5,869
5,698
5,689
5,869
5,896
Transcript text: The number of entries into four drawings were 5,689 tickets, 5,896 tickets, 5,698 tickets, and 5,869 tickets. Which shows these values in order from least to greatest?
5,689
5,698
5,869
5,896
5,689
5,698
5,896
5,869
5,698
5,689
5,896
5,869
5,698
5,689
5,869
5,896
Solution
Solution Steps
Step 1: List the given values
The given values are:
5,689 tickets
5,896 tickets
5,698 tickets
5,869 tickets
Step 2: Compare the thousands place
All numbers have the same thousands digit, which is \(5\). Therefore, we proceed to compare the hundreds place.
Step 3: Compare the hundreds place
\(5,689\) has \(6\) in the hundreds place.
\(5,896\) has \(8\) in the hundreds place.
\(5,698\) has \(6\) in the hundreds place.
\(5,869\) has \(8\) in the hundreds place.
Since \(6 < 8\), the numbers with \(6\) in the hundreds place (\(5,689\) and \(5,698\)) are smaller than those with \(8\) (\(5,896\) and \(5,869\)).
Step 4: Compare the tens place for numbers with the same hundreds place
For \(5,689\) and \(5,698\):
\(5,689\) has \(8\) in the tens place.
\(5,698\) has \(9\) in the tens place.
Since \(8 < 9\), \(5,689\) is smaller than \(5,698\).
For \(5,896\) and \(5,869\):
\(5,896\) has \(9\) in the tens place.
\(5,869\) has \(6\) in the tens place.
Since \(6 < 9\), \(5,869\) is smaller than \(5,896\).
Step 5: Arrange the numbers in order from least to greatest