NY Next Generation Math NY-5.NBT.3.b

Math5th GradeRead, write, and compare decimals to thousandths.

The Standard

Compare two decimals to thousandths 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 This Standard Means

What Students Need to Do

Students compare two decimals through thousandths by examining the value of corresponding digits. They record each relationship with greater than, less than, or equal symbols.

What Mastery Looks Like

A student compares 4.307 and 4.37 by writing 4.370 and identifying the hundredths place as decisive. The student records 4.307 < 4.370 and explains the comparison.

Common Misconceptions

Students may assume the decimal with more digits is greater or compare digits without aligning places. They may treat a trailing zero as changing the value.

How to Assess It

Ask students to compare 6.205 with 6.25 and 3.480 with 3.48. Require a symbol and place-value explanation for each.

Lesson moves

Ways to Teach It

  1. Build decimal pairs on thousandths place-value charts, append equivalent trailing zeros, and compare from the greatest place.

  2. Ask students why 2.700 and 2.7 represent the same value.

  3. Play decimal comparison war with numeral cards and required place-value justifications for each symbol.

  4. Compare recorded distances or masses measured to tenths, hundredths, or thousandths.

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Printable NY-5.NBT.3.b Worksheet

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