Maryland Math 5.NOS.B.7.c
The Standard
- 5.NOS.B.7
- Apply and extend previous understanding of multiplication and division of whole numbers to multiply and divide decimals to hundredths in context.
Use strategies based on place value (e.g., partial products, partial quotients) to multiply and divide.
Maryland College and Career Ready Standards for Mathematics (2025) · PERFORM OPERATIONS ON MULTI-DIGIT WHOLE NUMBERS AND WITH DECIMALS TO HUNDREDTHS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students break whole numbers and decimals into place-value parts. They multiply or divide those parts, regroup when needed, and combine partial products or partial quotients.
What Mastery Looks Like
- A student can solve 2.35 × 3 as 6 + 0.9 + 0.15 = 7.05. They can solve 84 ÷ 4 as 80 ÷ 4 plus 4 ÷ 4, then check by multiplying.
Common Misconceptions
- Students may calculate 235 × 3 and report 705, ignoring the decimal places. They may split 84 into 8 and 4 instead of 80 and 4.
How to Assess It
- On an exit ticket, have students solve 2.35 × 3 and 84 ÷ 4 using labeled partial products or partial quotients. Ask them to explain where the 0.15 comes from.
Lesson moves
Ways to Teach It
Use base-ten blocks to build 2.4 three times, then sort the blocks into ones and tenths to find the product.
Ask, 'Why is 2.35 × 3 equal to 7.05 instead of 705?' Have students label each partial product.
Deal dividend cards 48, 60, or 84 and divisor cards 2, 4, or 6; partners race to show partial quotients.
Give students a $2.35-per-notebook price tag and ask for the cost of three notebooks using partial products.
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Printable 5.NOS.B.7.c Worksheet
A ready-to-print activity worksheet aligned to 5.NOS.B.7.c, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.NOS.B.5.b
Use strategies based on place value (e.g., partial products) to multiply.
- 4.NOS.B.6.b
Use strategies based on place value (e.g., partial quotients) to divide.
- 6.NOS.B.2.b
Use strategies (e.g., partial quotients, inverse relationship between multiplication and division) to divide.
- 2.NOS.C.9.b
Use strategies based on place value (counting on, partial sums, making tens, etc.) to add and subtract.
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