CCSS.Math.Content.5.NBT.B
The standard
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Common Core State Standards for Mathematics
What this standard means
Students need to add, subtract, multiply, and divide multi-digit whole numbers with accurate place value thinking. They also need to add, subtract, multiply, and divide decimals to hundredths, including lining up decimal points for addition and subtraction and tracking place value in multiplication and division.
Mastery looks like choosing a sensible method, explaining why it works, and checking if the answer is reasonable. Students often get stuck when they treat decimals like whole numbers, forget zeros as placeholders, misplace the decimal point, or rely on steps without understanding the size of the numbers.
Ways to teach it
- Use base-ten blocks or grid paper to model 2.4 × 1.3, then connect the model to the written algorithm.
- Ask students to explain why 4.8 ÷ 0.6 has a whole-number answer, using words, a drawing, or an equation.
- Give four problems, one each for whole-number multiplication, whole-number division, decimal addition, and decimal multiplication, and collect exit tickets.
- Have students total a grocery receipt with prices to hundredths, then estimate first to check whether the final cost makes sense.
Plan a lesson for CCSS.Math.Content.5.NBT.B
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Related standards
- CCSS.Math.Content.6.NS.B.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
- CCSS.Math.Content.4.NBT.B
Use place value understanding and properties of operations to perform multi-digit arithmetic.
- CCSS.Math.Content.3.NBT.A.3
Multiply one-digit whole numbers by multiples of 10 in the range 10—90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations...
- CCSS.Math.Content.3.NBT.A
Use place value understanding and properties of operations to perform multi-digit arithmetic.