Maryland Math 6.NOS.B.3.c

Math6th GradeNumber and Operation Sense

The Standard

6.NOS.B.3: Fluently multiply and divide multi-digit decimals to the thousandths in context.

Use a standard algorithm to multiply and divide decimals.

Maryland College and Career Ready Standards for Mathematics (2025) · COMPUTE FLUENTLY WITH MULTI-DIGIT NUMBERS AND FIND COMMON FACTORS AND MULTIPLES.

Teacher's field guide

What Students Need to Do: Students multiply decimals with the written algorithm and place the decimal in the product. For division, they make the divisor a whole number by moving both decimal points the same number of places, then divide.
What Mastery Looks Like: A student can show written steps for 0.36 × 0.4 = 0.144 and 5.04 ÷ 0.6 = 8.4. They use an estimate to check that each answer is a reasonable size.
Common Misconceptions: Students may line up decimal points when multiplying, as they do when adding. When dividing, they may move the decimal in the divisor but leave the dividend unchanged.
How to Assess It: Give an exit ticket: Compute 2.4 × 0.35 and 5.04 ÷ 0.6 with written algorithms. Show how you placed each decimal point.

Lesson moves

Give pairs 10-by-10 grids to shade 0.3 × 0.4, then write the matching multiplication algorithm beside the grid.
Ask students to explain in writing why 5.04 ÷ 0.6 equals 50.4 ÷ 6.
Give partners cards with problems like 1.2 × 0.04 and 6.3 ÷ 0.9; have them solve, estimate, and check each other.
Show a receipt for 2.5 pounds of apples at $1.20 per pound; have students calculate the cost with a written algorithm.

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