6 — Comparing and Ordering Numbers

Comparing and Ordering Numbers

Solution & Explanation · ID: 0BFF983B

Question

Order these four numbers from greatest to least: 234,567; 23,456; 2,345,678; 234,576

Hint

First group by number of digits, then compare within each group.

Concept

To order numbers from greatest to least, first identify which has the most digits, then compare place by place for numbers with the same digit count.

Show Answer

2,345,678 > 234,576 > 234,567 > 23,456

Show Solution
1

Count digits in each number: 2,345,678 (7 digits), 234,567 (6 digits), 23,456 (5 digits), 234,576 (6 digits)

2

The 7-digit number 2,345,678 is greatest

3

Compare the two 6-digit numbers: 234,576 vs 234,567. In the tens place, 7 > 6, so 234,576 > 234,567

4

The 5-digit number 23,456 is smallest

5

Final order: 2,345,678 > 234,576 > 234,567 > 23,456

Four numbers arranged vertically in order from greatest to least: 2,345,678 (labeled '7 digits'), 234,576 (labeled '6 digits'), 234,567 (labeled '6 digits'), and 23,456 (labeled '5 digits'). Greater than symbols (>) connect each number to the next. The tens place digits 7 and 6 in the two 6-digit numbers are highlighted to show the comparison.