Maryland Math 5.NOS.B.6.b
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
Build 1.25 and 0.38 with base-ten blocks, using a flat as one, then combine the pieces to find the sum.
Write how to count up from 0.85 to 2.70, then compare that method with a partner's regrouping method.
Play decimal match: pair a card showing 1.36 + 0.48 with its answer card, then explain the place-value steps.
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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Related Standards
- 2.NOS.C.8.a
Use strategies based on counting (e.g., counting on, counting back) and place value (e.g., partial sums, making tens, etc.) to add and subtract.
- 1.NOS.E.12.b
Use counting strategies, properties of operations, and/or the inverse relationship between addition and subtraction to subtract.
- 1.NOS.E.13.b
Use counting strategies, properties of operations, and/or the inverse relationship between addition and subtraction to subtract.
- 2.NOS.C.9.b
Use strategies based on place value (counting on, partial sums, making tens, etc.) to add and subtract.
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