Greater or Less
Feed the gator the bigger number.
Grades 1-3 · Comparing numbers by place value
How to play
- 1Two numbers appear on either side.
- 2The hungry gator always eats the bigger one. Tap the greater number.
- 3Compare from the left: the biggest place value decides it, not the biggest single digit.
- 4Answer quickly to keep your streak alive.
Try a few
839 or 91
Answer: 839
Count the digits before reading anything. Three digits beat two, because 839 has hundreds and 91 has none. Children lose this pair often, since the 9 at the front of 91 is bigger than the 8 at the front of 839 and the eye goes there first.
456 or 465
Answer: 465
Same length, so start at the left. Both have 4 hundreds, which decides nothing, so move one place right. The tens are 5 and 6, so 465 wins and you stop there. The ones digits never get looked at, and stopping at the first difference is the whole strategy.
700 or 699
Answer: 700
Those two 9s make 699 look full and 700 look empty, which is why this pair catches so many children. Compare the hundreds and the argument ends: 7 against 6. The zeroes are not nothing, they say the 7 is a full seven hundred with nothing left over.
Why this game helps
A child who is sure that 39 is bigger than 100 because 9 is bigger than 0 has learned to compare single digits instead of numbers. Comparing correctly means starting from the largest place value and only moving right when those match, which is a genuine strategy, not a fact to recall. Snap decisions between two numbers, made again and again, train the eye to check the hundreds before the ones. The classic greater-than symbol as a mouth that opens toward the larger number gives the comparison a shape a young child can hold onto.
If your child finds this hard
If your child picks 699 over 700, or calls 199 bigger than 200, they are comparing the wrong end of the number. The pattern is consistent: the 99 looks big, so the whole number feels big. Try a thumb. Cover everything except the leftmost digit of both numbers, decide, and uncover the rest only if those digits match. A week of doing it physically usually gets the eye going left on its own.
A second pattern shows up when both numbers begin alike, such as 456 against 465. Some children check the hundreds, see 4 and 4, and conclude the numbers are equal, which children make most often as stopping at the hundreds. Others jump straight to the ones. Matching digits are not an answer, they are an instruction to move one place right and look again.
Then there is the pair built from the same digits, 47 against 74, where a child decides they must be equal because the same numerals appear. Catch this early, since it means digits are being read as a set rather than as places. Build both out of something countable, seven bundles of ten and four loose against four bundles and seven loose, and let your child see two different piles.
Common questions
- Why does the game sometimes show a three-digit number against a one-digit number?
- Because comparing lengths is a real strategy and the easiest to learn first. A child who notices 842 is longer than 7 and stops there has compared correctly, and that habit of checking the biggest place first is what gets 456 against 465 right later.
- My child gets these right but counts to work it out. Is that a problem?
- Not yet, but it is the thing to move on from. Counting works for 8 against 5 and falls apart at 483 against 519, where nobody counts up to check. Comparing by place value keeps working as the numbers grow, so practise it on easy pairs too.
- Should my child be learning the greater-than and less-than symbols too?
- Yes, and they turn up in school around first and second grade. This game leaves them out on purpose and just asks which number is bigger, because the judgment has to be secure before the notation means anything. Once choosing is quick, the symbol is a short conversation.
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