 # Represent Multiplication using the Associative Property

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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades

Examples, 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

### 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 Problem Set

1. Draw and label a tape diagram to show the following are true.
a. 8 fifths = 4 (2 fifths) = (4 2) fifths
b. 10 sixths = 5 sixths) = (5 2) sixths

2. Write the expression in unit form to solve.

3. Solve.

4. Maria needs 3/5 yard of fabric for each costume. How many yards of fabric does she need for 6 costumes?

Lesson 35 Homework

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

2. Write the expression in unit form to solve.
a. 10 × 2/56
b. 3 × 5/6
c. 9 × 4/9
d. 7 × 3/4

3. Solve.
a. 6 × 3/4
b. 7 × 5/8
c. 13 × 2/3
d. 18 × 2/3

4. Mrs. Smith bought some orange juice. Each member of her family drank 2/3 cup for breakfast. There are five people in her family. How many cups of orange juice did they drink?

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