CCSS.Math.Content.5.NBT.B.7
The Standard
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Common Core State Standards for Mathematics · Number and Operations in Base Ten
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve calculations with decimals through the hundredths place. They use place-value models or drawings, connect them to written steps, and explain why the method works.
What Mastery Looks Like
- Students choose an accurate method, keep place values clear, and get a reasonable answer. They can connect a model to written steps and check the result with estimation or an inverse operation.
Common Misconceptions
- Students may align the last digits instead of aligning decimal points when adding or subtracting. They may count decimal places mechanically in every operation, including addition and division. They may assume multiplication always makes numbers larger and division always makes them smaller.
How to Assess It
- Exit ticket: Solve 2.45 + 1.7, 5.00 - 2.86, 0.6 × 0.4, and 1.2 ÷ 0.3; model one and explain your steps.
Lesson moves
Ways to Teach It
Use base-ten blocks on place-value mats to model 2.35 + 1.7, regrouping before recording each written step.
Have students explain why 3.6 ÷ 0.4 equals 9 using a drawing and the equivalent equation 36 ÷ 4.
Play Decimal Draw: students pull two decimal cards, spin an operation, estimate, solve, and earn a point for a reasonable answer.
Give students a grocery receipt and ask them to find a total, change, unit cost, and cost for several identical items.
Free download
Printable 5.NBT.B.7 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.5.NBT.B.7, 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 Number & Operations in Base Ten progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.5.NBT.A.1
Decimal operations to hundredths rely on understanding each place is ten times or one tenth of adjacent places.
- CCSS.Math.Content.4.NF.C.6
Students must read and represent tenths and hundredths as decimals before using place value strategies to operate on them.
- CCSS.Math.Content.4.NBT.B.4
Whole-number addition and subtraction algorithms support decimal regrouping and place-value written methods used when adding and subtracting decimals.
What This Unlocks
Mastery here sets students up for these next.
Keep exploring
Related Standards
- CCSS.Math.Content.1.NBT.C.4
Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawing...
- CCSS.Math.Content.2.NBT.B.5
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
- CCSS.Math.Content.2.NBT.B.7
Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between a...
- CCSS.Math.Content.1.NBT.C.6
Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strate...
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