Virginia SOL 5.CE.3.c.ii
The Standard
quotients may include whole numbers, tenths, hundredths, or thousandths
Virginia Standards of Learning for Mathematics · 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.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students estimate a quotient before calculating it with a strategy or written algorithm. They regroup across the decimal to find digits through the thousandths place. They compare the exact answer with the estimate and check by multiplication.
What Mastery Looks Like
- A student can estimate 14.76 ÷ 8 as about 2, then calculate 1.845 accurately. The student places each quotient digit correctly and explains regrouping with place value. The student checks by multiplying the divisor and quotient.
Common Misconceptions
- Students may place the decimal by counting digits instead of using place value, omit zero placeholders, or stop when a remainder appears. They may accept an unreasonable answer because they skipped the estimate or changed only one number when making a whole-number divisor.
How to Assess It
- Exit ticket: Estimate and solve 14.76 ÷ 8. Show the division steps, then use multiplication to check the quotient.
Lesson moves
Ways to Teach It
Use place-value disks and a mat to share 14.76 among eight groups, recording each trade beside the long-division step.
Have students explain in writing why 14.76 ÷ 8 should be close to 2 before finding the exact quotient.
Play Quotient Match by pairing division cards with estimate cards and exact quotient cards, then checking each set with multiplication.
Split a $12.36 bill equally among four people, estimate each share, calculate it, and verify that the shares total $12.36.
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Printable 5.CE.3.c.ii Worksheet
A ready-to-print activity worksheet aligned to 5.CE.3.c.ii, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.CE.3.c.i
quotients do not exceed four digits with or without a decimal point;
- 4.NS.4.b
Represent and identify decimals expressed through thousandths, using concrete, pictorial, and numerical representations.
- 5.CE.3.c.iii
divisors are limited to a single digit whole number or a decimal expressed as tenths; and
- 4.NS.5.a
Represent fractions (proper or improper) and/or mixed numbers as decimals through hundredths, using multiple representations, limited to halves, fourths, fifths...
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