NY Next Generation Math NY-4.NBT.2.b

Math4th GradeGeneralize place value understanding for multi-digit whole numbers.

The Standard

Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students compare whole numbers through 1,000,000 by examining digits from the greatest place value to the least. They record comparisons with greater than, less than, or equal symbols.
What Mastery Looks Like: A student compares 508,214 and 508,124 by moving from equal hundred-thousands through thousands to the hundreds place. The student writes 508,214 > 508,124 and explains the deciding place.
Common Misconceptions: Students may compare number length only, focus on the last digits, or ignore placeholder zeros. They may choose a symbol without reading the comparison aloud.
How to Assess It: Ask students to compare 406,090 with 406,900 and 725,040 with 725,040, using symbols and place-value explanations.

Lesson moves

Align multi-digit numbers in place-value charts and compare from the greatest occupied place toward the ones.
Ask students which place decides the comparison between 390,506 and 390,560.
Play comparison sort with numeral pairs, symbols, and written place-value reasons through 1,000,000.
Compare population, distance, or attendance figures and explain which place establishes each ordering.

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