# Represent Multiplication using the Associative Property

Videos and solutions to help Grade 4 students learn how to represent the multiplication of n times a/b as (n × a)/b using
the associative property and visual models.

Topic G: Repeated Addition of Fractions as Multiplication

Common Core Standards: 4.NF.4,
4.MD.4,
4.OA.2,
4.MD.2

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Lessons for Grade 4
Common Core For Grade 4
### NYS Common Core Grade 4 Module 5, Lessons 35

Lesson 35 Concept Development
Problem 1: Use the associative property to solve n x a/b
in unit form.

Problem 2: Use the associative property to solve n x a/b
numerically.

Lesson 35 Homework
1. Draw and label a tape diagram to show the following are true.
a. 8 thirds = 4 x (2 thirds) = (4 x 2) thirds
b. 15 eighths = 3 x (5 eighths) = (3 x 5) eighths

2. Write the expression in unit form to solve.

3. Solve.

Lesson 35 Homework
4. Mrs. Smith bought some orange juice. Each member of her family drank
five people in her family. How many cups of orange juice did they drink?