Using Number Bonds to Relate Multiplication and Division
Using Number Bonds to Relate Multiplication and Division is a Grade 3 math skill from Eureka Math using number bonds to show inverse relationships. In a number bond for division, the dividend (total) is the whole, and the divisor and quotient are the two parts. This models the relationship: Whole ÷ Part = Part ↔ Part × Part = Whole. For example, 24 ÷ 6 = 4 and 4 × 6 = 24 share the same number bond. Understanding this inverse relationship helps third graders learn multiplication facts and their related division facts together.
Key Concepts
A number bond models a division fact and its related multiplication fact. The dividend (total) is the "whole," and the divisor and quotient are the "parts." $$ \text{Whole} \div \text{Part} = \text{Part} \iff \text{Part} \times \text{Part} = \text{Whole} $$.
Common Questions
How does a number bond relate multiplication and division?
In a number bond, the whole (dividend) connects to two parts (divisor and quotient). This shows that Whole ÷ Part = Part and Part × Part = Whole are two sides of the same relationship.
What are the three numbers in a multiplication/division number bond?
The three numbers are: the total (product/dividend) as the whole, and the two factors (divisor and quotient) as the parts. They form a fact family.
How does knowing 6 × 8 = 48 help you solve 48 ÷ 6?
The number bond shows 48 as the whole and 6 and 8 as parts. Since 6 × 8 = 48, you know 48 ÷ 6 = 8 immediately by the inverse relationship.
What is a fact family?
A fact family is the set of related multiplication and division sentences that use the same three numbers. For example: 3 × 7 = 21, 7 × 3 = 21, 21 ÷ 3 = 7, 21 ÷ 7 = 3.
In which textbook is Using Number Bonds to Relate Multiplication and Division taught?
This skill is taught in Eureka Math, Grade 3.