Virginia SOL 5.CE.3
SOL Standard (Knowledge and Skills Cluster)
The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition, subtraction, multiplication, and division with decimal numbers.
Virginia Standards of Learning for Mathematics
Cluster contents
Knowledge and Skills in This Standard
5.CE.3 is a Standards of Learning standard. These are the knowledge and skills expectations under it.
- 5.CE.3.a
Apply estimation strategies (e.g., rounding to the nearest whole number, tenth or hundredth; compatible numbers, place value) to determine a reasonable solution...
- 5.CE.3.b.i
a two-digit factor and a one-digit factor (e.g., 2.3 × 4; 0.08 × 0.9; .16 × 5);*
- 5.CE.3.b.ii
a three-digit factor and a one-digit factor (e.g., 0.156 × 4, 3.28 × 7, 8.09 × 0.2);* and
- 5.CE.3.b.iii
Estimate and determine the product of two numbers using strategies and algorithms, including the standard algorithm, when given: a two-digit factor and a two-di...
- 5.CE.3.c
Estimate and determine the quotient of two numbers using strategies and algorithms, including the standard algorithm, in which:*
- 5.CE.3.c.i
quotients do not exceed four digits with or without a decimal point
- 5.CE.3.c.ii
quotients may include whole numbers, tenths, hundredths, or thousandths
- 5.CE.3.c.iii
divisors are limited to a single digit whole number or a decimal expressed as tenths
- 5.CE.3.c.iv
no more than one additional zero will need to be annexed.
- 5.CE.3.d
Solve single-step and multistep contextual problems involving addition, subtraction, and multiplication of decimals by applying strategies (e.g., estimation, mo...
- 5.CE.3.e
Solve single-step contextual problems involving division with decimals by applying strategies (e.g., estimation, modeling) and algorithms, including the standar...
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students estimate decimal answers before calculating. They represent contextual problems with models, equations, or place-value reasoning. They solve with all four operations and justify each answer by comparing it with an estimate.
What Mastery Looks Like
- Students choose the correct operations for a context and organize multistep work clearly. They calculate decimal sums, differences, products, and quotients accurately. They use an estimate to check the exact answer and explain why it makes sense.
Common Misconceptions
- Students may align final digits instead of decimal points when adding or subtracting. They may assume multiplication always increases a number. In division, they may move the divisor's decimal without making the same change to the dividend.
How to Assess It
- Exit ticket: “Mia has $20 and buys 3 notebooks at $4.65 each. Estimate, find her change, and explain why it is reasonable.” Then ask, “Divide 5.4 liters equally among 6 bottles and show your calculation.”
Lesson moves
Ways to Teach It
Give students base-ten grids to model 2.4 × 0.3, then have them match the model to an equation and product.
Ask students to write why 3.8 × 0.6 must be less than 3.8 before calculating.
Play Decimal Target: students draw number cards, build decimal expressions, estimate first, and score when exact answers land near the target.
Use a grocery receipt and $25 budget; students estimate, find the exact total for several items, and calculate the change.
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Printable 5.CE.3 Worksheet

A ready-to-print activity worksheet aligned to 5.CE.3, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 3.CE.1
The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtrac...
- 4.CE.4
The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtrac...
- 5.CE.1
The student will estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition, subtraction, multiplication,...
- 4.CE.1
The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtrac...
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