Grade 6Math

Multiplying Whole Numbers and Money

Master multiplying whole numbers and money using fact families and factor-product relationships in Saxon Math Course 1 for Grade 6 students.

Key Concepts

Definition Multiplication and division are inverse operations. A fact family is a set of related multiplication and division facts that use the same three numbers.

$$ 5 \times 6 = 30 \quad 30 \div 5 = 6 $$ $$ 6 \times 5 = 30 \quad 30 \div 6 = 5 $$ What’s next Next, you will solidify this concept through worked examples and practice problems, challenging you to build complete fact families from given sets of numbers.

Common Questions

What is a fact family in multiplication?

A fact family is a set of three connected numbers that show how multiplication and division are related. For example, the numbers 5, 6, and 30 form a fact family because 5 × 6 = 30, 6 × 5 = 30, and two related division sentences can be written using the same numbers.

How many math sentences can you write from one fact family?

You can write four different math sentences from a single fact family using the same three numbers. Two are multiplication sentences where the factors are multiplied to get the product, and two are division sentences that show the inverse relationship.

How does knowing fact families help with multiplying money in Grade 6?

Understanding fact families helps students recognize that multiplication and division are opposites, which is essential when working with money values. This relationship allows Grade 6 students to solve and check money multiplication problems more efficiently.

What are factors and products in a multiplication fact family?

In a fact family, the two smaller numbers are called factors and the largest number is called the product. For instance, in the fact family 5, 6, and 30, both 5 and 6 are factors and 30 is the product of multiplying them together.