Relating Multiplication and Division with Units of 3
Relating Multiplication and Division with Units of 3 is a Grade 3 math skill from Eureka Math using fact families to connect threes multiplication facts to their corresponding division facts. For any multiplication fact involving 3—such as n × 3 = p—there is a related division fact: p ÷ 3 = n. Knowing 7 × 3 = 21 immediately gives 21 ÷ 3 = 7. Third graders build fluency with both operations simultaneously by learning the inverse relationship between multiplying and dividing by 3.
Key Concepts
Multiplication and division are inverse operations that form fact families. For any multiplication fact with a factor of 3, there is a related division fact. Knowing the multiplication fact helps you quickly solve the division problem. $$n \times 3 = p \quad \Leftrightarrow \quad p \div 3 = n$$.
Common Questions
How are multiplication and division facts related when using units of 3?
They are inverses. If n × 3 = p, then p ÷ 3 = n. Learning one fact gives you the other for free.
What division fact is related to 8 × 3 = 24?
24 ÷ 3 = 8. The same three numbers (3, 8, 24) appear in both facts, just in different positions.
What is a fact family for threes?
A fact family for 3, 6, and 18 includes: 3 × 6 = 18, 6 × 3 = 18, 18 ÷ 3 = 6, 18 ÷ 6 = 3. All four equations use the same three numbers.
Why is learning fact families more efficient than learning multiplication and division separately?
The same three numbers generate four related facts. Memorizing one set of numbers in the fact family gives you all four equations simultaneously.
In which textbook is Relating Multiplication and Division with Units of 3 taught?
This skill is taught in Eureka Math, Grade 3.