# Arithmetic Patterns

Videos, examples, and solutions to help Grade 3 students learn how to reason about and explain arithmetic patterns using units of 0 and 1 as they relate to multiplication and division.

Common Core Standards: 3.OA.3, 3.OA.7, 3.OA.8, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.4, 3.OA.6

New York State Common Core Math Grade 3, Module 3, Lesson 16

Worksheet for Common Core Grade 3, Module 3, Lesson 16

Multiply & Divide 9 Worksheet Sprint A
Multiply & Divide 9 Worksheet Sprint B
Multiply or Divide by 0 or 1 Worksheet

Concept Development

Problem 1: Multiply and divide using units of 1.
Problem 2: Multiply and divide using units of 0.

Lesson 16 Homework

1. Solve.
a. 4 × 1 = ______
b. 4 × 0 = _____
c. _____ × 1 = 5
d. _____ ÷ 5 = 0
e. 6 × _____ = 6
f. _____ ÷ 6 = 0
g. 0 ÷ 7 = _____
h. 7 × _____ = 0
i. 8 ÷ _____ = 8
j. _____ × 8 = 8
k. 9 × _____ = 9
l. 9 ÷ _____ = 1

2. Let c = 8. Then determine whether the equations are true or false.
a. c × 0 = 8
b. 0 × c = 0
c. c × 1 = 8
d. 1 × c = 8
e. 0 ÷ c = 8
f. 8 ÷ c = 1
g. 0 ÷ c = 0
h. c ÷ 0 = 8

Lesson 16 Homework

4. Rajan says that any number multiplied by 1 equals that number.
a. Write a multiplication equation using n to represent Rajan’s statement.
b. Using your equation from Part (a), let n = 5 and draw a picture to show that the new equation is true.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 