Florida B.E.S.T. MA.5.NSO.2.5
The Standard
Multiply and divide a multi-digit number with decimals to the tenths by one-tenth and one-hundredth with procedural reliability.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find products and quotients involving 0.1 and 0.01. They track how each digit’s value changes and place the decimal accurately.
What Mastery Looks Like
- Students calculate accurately and place the decimal correctly without relying on a model. They use place-value reasoning or estimation to explain why a product is smaller or a quotient is larger.
Common Misconceptions
- Students may move the decimal point without connecting the move to place value, or move it in the wrong direction. Some think division always makes a number smaller, so they reject a larger quotient.
How to Assess It
- Give an exit ticket: “Solve 46.3 × 0.1 and 46.3 ÷ 0.01 without a calculator. Show place-value reasoning for each answer.”
Lesson moves
Ways to Teach It
Move place-value disks for 32.6 across a chart to model multiplying and dividing by 0.1 and 0.01.
Ask, “Why is 48.2 ÷ 0.1 greater than 48.2?” Students write two sentences and compare explanations.
Play Decimal Target: students draw number cards, choose multiplication or division by 0.1 or 0.01, and score for reaching target ranges.
Find how many 0.1-meter and 0.01-meter pieces can be cut from a 12.5-meter roll of ribbon.
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Printable MA.5.NSO.2.5 Worksheet

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Related Standards
- MA.3.NSO.2.3
Multiply a one-digit whole number by a multiple of 10, up to 90, or a multiple of 100, up to 900, with procedural reliability.
- MA.5.NSO.1.5
Round multi-digit numbers with decimals to the thousandths to the nearest hundredth, tenth or whole number.
- MA.6.NSO.2.1
Multiply and divide positive multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.
- MA.5.NSO.2.2
Divide multi-digit whole numbers, up to five digits by two digits, including using a standard algorithm with procedural fluency. Represent remainders as fractio...
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