6 — Comparing and Ordering Numbers

Comparing and Ordering Numbers

Solution & Explanation · ID: 43E22710

Question

Put these numbers in order from least to greatest: 67,890; 67,098; 67,980

Hint

All numbers have the same digits in the ten-thousands and thousands places, so compare the hundreds place.

Concept

To order numbers, compare them two at a time, starting with the leftmost digits and working right until you find differences.

Show Answer

67,098 < 67,890 < 67,980

Show Solution
1

Line up all three numbers by place value: 67,890; 67,098; 67,980

2

Compare ten-thousands and thousands places: all have 6 and 7, so move to hundreds place

3

Compare hundreds place: 67,098 has 0, 67,890 has 8, 67,980 has 9

4

Order by hundreds place: 0 < 8 < 9, so 67,098 < 67,890 < 67,980

Three numbers aligned vertically by place value: 67,890, 67,098, and 67,980. Columns labeled Ten-thousands, Thousands, Hundreds, Tens, Ones. The hundreds place digits 8, 0, and 9 are highlighted. Below shows the ordering: 67,098 < 67,890 < 67,980 with arrows indicating least to greatest.