Maryland Math 5.NOS.B.7.d

Math5th GradeNumber and Operation Sense

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 properties of operations and/or the inverse relationship between multiplication and division 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 Students Need to Do: Students split decimal factors into easy parts to multiply. They use related multiplication facts to solve division problems and check their answers.
What Mastery Looks Like: A student can find 1.25 × 4 by adding 1 × 4 and 0.25 × 4. They can solve 5 ÷ 1.25 by showing that 1.25 × 4 = 5.
Common Misconceptions: Students may calculate 125 × 4 and forget to place the decimal in the answer. They may reject 2.4 ÷ 0.6 = 4 because they think division always makes numbers smaller.
How to Assess It: Exit ticket: Find 1.2 × 3 by splitting 1.2 into 1 and 0.2. Then use your answer to solve 3.6 ÷ 3.

Lesson moves

Give pairs 24 paper tenths strips. Have them make groups of six strips and write 2.4 ÷ 0.6 = 4.
Ask partners why 2.4 ÷ 0.6 equals 4, not 0.4, and have them explain using multiplication.
Give partners cards labeled 0.4, 3, and 1.2; race to write the four related multiplication and division facts.
A snack costs $1.20. Have students find the cost of three snacks and how many snacks $3.60 buys.

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