Compare Three-Digit Numbers from the Left
Align both numerals in a place-value chart.
About 15 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: Compare 472 and 459.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Hundreds decide first when comparing three-digit numbers. If the hundreds match, compare tens; only when tens also match do ones decide. A large ones digit cannot outweigh a larger hundreds place because the positions represent different-sized units.
Align both numerals in a place-value chart. Find the first unequal digit from the left and compare its place values. Use that result to name the greater number and explain which place decided.
Align matching places before comparing. Do not choose a number only because its ones digit is larger. Underline the first place from the left where the numerals differ.
- Underline the first place from the left where the numerals differ.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Align both numerals in a place-value chart.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Compare 472 and 459. Both have four hundreds, but seven tens is greater than five tens, so 472>459. The nine ones in 459 cannot outweigh the two-tens difference. The hundreds tie means the tens comparison is needed. Align matching places before comparing. Do not choose a number only because its ones digit is larger. Underline the first place from the left where the numerals differ.
Check your reasoning
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Helpful tips
- Align matching places before comparing.
- Do not choose a number only because its ones digit is larger.
See the answer and explanation
421
Read from hundreds to tens to ones; the first unequal place determines the order.
Take it further
Compare 608 and 680. Expected: 680 is greater because of its tens place.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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