6Comparing and Ordering Whole Numbers

Comparing and Ordering Whole Numbers

Solution & Explanation · ID: 517AC660

Question

Put in ascending order: 1,234,567; 1,243,567; 1,234,576; 1,234,657

Hint

Start by comparing the ten-thousands place, then work your way to the right for numbers that are the same in higher place values.

Concept

Ascending order means from smallest to largest. Compare numbers place by place from left to right to determine their relative size.

Show Answer

1,234,567 < 1,234,576 < 1,234,657 < 1,243,567

Show Solution
1

Identify where the numbers first differ by comparing place by place

2

1,234,567 vs others: differs at ten-thousands (2 vs 4) or thousands/lower places

3

1,243,567 has 4 in ten-thousands, others have 2, so it's largest

4

Among remaining three with same ten-thousands (2): 1,234,567, 1,234,576, 1,234,657

5

Compare hundreds place: all have 4, so check tens place

6

Tens place: 6, 7, 5 respectively

7

Order the three: 1,234,567 (6), 1,234,576 (7), 1,234,657 (5)

8

Final ascending order: 1,234,567 < 1,234,576 < 1,234,657 < 1,243,567