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Comparing Large Numbers

Order and compare numbers beyond 1000

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What a learner can do afterwards

  • Compare two four-digit numbers using >, <, and = by examining digits from the highest place value
  • Order a set of numbers up to 10,000 from smallest to largest
  • Justify the ordering using place-value reasoning

1 · Read

You already know the thousands, hundreds, tens, and ones places. To compare two four-digit numbers, look at their digits from left to right. Start with the thousands digit, since it carries the most value.

Try it together

The Otters counted 4,582 bottle caps. The Herons counted 4,519. The thousands digits are both 4, so that is a tie. The hundreds digits are both 5, another tie. Now check the tens digit: 8 is bigger than 1. So the Otters have more bottle caps. 4,582 is bigger than 4,519.

>
010000
The number closest to zero is smallest. The number farthest away is biggest.
Good to know

If two numbers have a different number of digits, the one with more digits is always bigger. When both have four digits, compare place by place from the thousands down, and stop as soon as you find a difference.

Compare four-digit numbers by checking digits from the thousands down, and stop as soon as one digit wins.

2 · Watch

3 · Play

step 1 of 6

You know the four places in a four-digit number: thousands, hundreds, tens, ones. Each digit counts bundles of its own size. Two teams have been collecting bottle caps. The Otters counted 4,582 and the Herons counted 4,519.

Which place do you read first to find out who collected more?

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

18 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Comparing Large Numbers · Mathematics, ages 8 to 9 · LightMySky