Ordering Numbers

​Which number is smaller, 246 738 or 246 951?

Solution: Line up the digits.

​Compare the digits starting from the left. Find the first place that they differ.

In this example, the digits in the hundreds place are not the same.

7 is smaller than 9.

So, 246 738 is smaller than 246 951.

​When ordering numbers, we can compare the numbers two at a time. We can also use the following method.

Example: Arrange the following numbers in increasing order

425 876, 425 987, 425 856

Solution: Line up the numbers vertically

​Compare the digits starting from the left.

Arranging the numbers in increasing order, we get

425 856, 425 876, 425 987

​How to use place value to compare numbers as greater than or less than and how to order numbers as greatest to least or least to greatest?

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How to compare and order a given set of numbers?

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​Example: Arrange the following numbers from the least to greatest 10,315, 812, 5,642, 819, 4,329

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