CCSS.Math.Content.6.NS.B.3
The Standard
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Common Core State Standards for Mathematics · The Number System
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use written procedures to calculate with multi-digit decimals. They track place value, place decimal points correctly, and check whether answers are reasonable.
What Mastery Looks Like
- A student solves decimal calculations accurately and shows each step in an organized layout. The student uses estimation or an inverse operation to catch errors.
Common Misconceptions
- Students may line up digits instead of decimal points when adding or subtracting. They may place the decimal point incorrectly in products or move it in only one number when dividing. Some omit placeholder zeros or stop dividing too soon.
How to Assess It
- Give this exit ticket: solve 48.73 + 6.895, 82.4 - 7.968, 3.46 × 2.8, and 15.75 ÷ 2.5, then estimate one answer.
Lesson moves
Ways to Teach It
Use place-value mats and digit cards to build 23.47 and 8.596, then model regrouping before subtracting.
Show two solutions for 4.8 × 2.35, one with a misplaced decimal, and ask students to explain which answer is reasonable.
Pairs draw decimal operation cards, solve on mini whiteboards, and earn a point only when both the calculation and estimate agree.
Use a mock grocery receipt to find item totals, the full cost, change from $50, and an equal cost per person.
Free download
Printable 6.NS.B.3 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.6.NS.B.3, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
See the whole path on the The Number System progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.6.NS.B.2
Decimal division uses the same multi-digit division steps, with added place-value and decimal-point reasoning.
- CCSS.Math.Content.5.NBT.B.7
Students extend decimal place-value reasoning and all four operations from hundredths strategies to fluent standard algorithms with larger decimals.
- CCSS.Math.Content.5.NBT.A.1
Understanding each decimal place as ten times the next supports alignment, regrouping, and decimal placement in all four operations.
What This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.8.EE.A.4
Operations in scientific notation require multiplying, dividing, adding, and subtracting decimal factors while tracking powers of ten.
- CCSS.Math.Content.8.NS.A.2
Fluent decimal operations support computing and comparing rational estimates, such as squaring 3.14 to approximate π².
- CCSS.Math.Content.6.EE.B.7
Decimal addition, subtraction, multiplication, and division support computing the unknown in one-step equations when p and q are decimals.
Keep exploring
Related Standards
- CCSS.Math.Content.3.NBT.A.2
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition a...
- CCSS.Math.Content.5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
- CCSS.Math.Content.4.NBT.B.4
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
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