Fourth Grade · Math · week 2

Comparing and ordering big numbers

Compare and order multi-digit whole numbers by finding the first place value where the digits differ.

To compare two big numbers, line them up by place value and start from the LEFT, the biggest place. Walk right until you find the first place where the digits are different; whichever digit is bigger there wins.

A number with more digits is always greater than one with fewer digits, as long as neither has extra leading zeros. That shortcut saves time before you even start comparing digit by digit.

📋 For the teacher
Teach it (10–15 min):
  • Always start comparing from the leftmost digit, the biggest place value, never from the ones place.
  • Stack the numbers on top of each other lined up by place value so matching digits are easy to see.
  • Practice the digit-count shortcut: more digits (with no leading zero) always means a bigger number.
  • When two numbers share several leading digits, slow down and check each remaining place carefully.
Talk about it:
  • Why start comparing from the left instead of the right?
  • How do you know 2,354,000 is bigger than 999,999 without checking every digit?
  • When do two numbers need to be compared all the way to the ones place?

Mastery looks like: They compare and order numbers into the millions by finding the first place value where the digits differ.

Common stumbles: Comparing digit by digit from the right instead of the left; assuming a longer number is always bigger even when it has a leading zero.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

Place ValueWatch ones, tens, hundreds, and thousands build big numbers.try →
Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
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