Maryland Math 5.NOS.B.7.b
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 concrete models, drawings, and arrays 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 use blocks, drawings, and arrays to multiply and divide whole numbers and decimals through hundredths. They label what each part of the model represents.
What Mastery Looks Like
- A student can show 1.2 × 3 as three groups of 1.2 and find 3.6. They can trade wholes for tenths and tenths for hundredths to show 2.55 ÷ 3 = 0.85.
Common Misconceptions
- Students may treat 1.2 as 12 and report 36 instead of 3.6. When sharing 2.55 among three groups, they may stop at the two wholes instead of trading them for tenths.
How to Assess It
- Exit ticket: Sketch 1.2 × 3 as an array and 2.55 ÷ 3 as equal groups. Label the value of each part and write both answers.
Lesson moves
Ways to Teach It
Set a base-ten flat equal to 1 and a rod equal to 0.1; build three groups of 1.2 and combine them.
Ask students to draw 2.55 ÷ 3 and write where they traded wholes for tenths and tenths for hundredths.
Make cards labeled 0.6, 1.4, and 2.3; partners draw a digit card, sketch an array for the product, and check labels.
Show a $4.50 receipt split by three friends; have students draw how to share the dollars and cents equally.
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Printable 5.NOS.B.7.b Worksheet
A ready-to-print activity worksheet aligned to 5.NOS.B.7.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.NOS.B.5.d
Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of multiplication.
- 4.NOS.B.6.d
Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of division.
- 2.NOS.C.9.a
Use concrete models or drawings to add and subtract.
- 5.NOS.B.7.e
Represent and explain the computation by connecting concrete models, drawings, and/or equations to the meaning of multiplication and division.
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