Maryland Math 5.NOS.B.6.b

Math5th GradeNumber and Operation Sense

The Standard

5.NOS.B.6
Apply and extend previous understanding of addition and subtraction of whole numbers to add and subtract decimals to hundredths.
Use concrete models, drawings, strategies based on place value (e.g., partial sums), properties of operations and/or the inverse relationship between addition and subtraction to add and subtract decimals.

Maryland College and Career Ready Standards for Mathematics (2025) · PERFORM OPERATIONS ON MULTI-DIGIT WHOLE NUMBERS AND WITH DECIMALS TO HUNDREDTHS.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students add and subtract decimals to the hundredths using blocks, drawings, or place-value parts. They explain how they combine or regroup tenths and hundredths, and check subtraction with addition.

What Mastery Looks Like

A student can draw a place-value sketch to show 3.4 + 0.27 = 3.67. They can regroup to find 5.02 - 1.38 = 3.64, then check by adding 3.64 + 1.38.

Common Misconceptions

Students may line up the last digits instead of the decimal points when adding 3.4 and 0.27. They may think 0.4 is less than 0.27 because 4 is less than 27, or subtract each column without regrouping.

How to Assess It

Exit ticket: Solve 2.6 + 0.35 and 4.03 - 1.47. Draw a place-value sketch for one answer, then use addition to check the subtraction.

Lesson moves

Ways to Teach It

  1. Build 1.25 and 0.38 with base-ten blocks, using a flat as one, then combine the pieces to find the sum.

  2. Write how to count up from 0.85 to 2.70, then compare that method with a partner's regrouping method.

  3. Play decimal match: pair a card showing 1.36 + 0.48 with its answer card, then explain the place-value steps.

  4. Use a grocery receipt with $4.75 and $2.68 items; find the total and the change from $10 with a place-value sketch.

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Printable 5.NOS.B.6.b Worksheet

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