In this Grade 6 Saxon Math Course 1 lesson, students learn to multiply whole numbers and money amounts using partial products, and to divide whole numbers and money using the division symbol, division box, and division bar. The lesson introduces key vocabulary including factors, product, dividend, divisor, and quotient, along with the Commutative Property, Identity Property, and Zero Property of Multiplication. Students also practice applying these skills to real-world problems such as calculating the cost of multiple items in dollars and cents.
Section 1
📘 Fact Families
Multiplication and division are inverse operations. A fact family is a set of related multiplication and division facts that use the same three numbers.
Next, you will solidify this concept through worked examples and practice problems, challenging you to build complete fact families from given sets of numbers.
Section 2
Multiplying with Partial Products
When multiplying a number by a two-digit number, you can multiply by the ones digit first, then by the tens digit, and add the two partial products together to get the final product.
To find , calculate the partial products: .
Calculating becomes , which is .
Section 3
Commutative Property of Multiplication
Changing the order of the factors does not change the product.
To check if is correct, you can reverse the factors and confirm that .
Multiplying gives 300, which is the same product you get from multiplying .
Section 4
Zero Property of Multiplication
If zero is a factor of a multiplication, the product is zero.
Even a big number like is just .
If you have 15 baskets with 0 apples in each, you have apples in total.
Calculating simplifies to , which equals .
Zero is the superhero of math that makes big numbers vanish! The Zero Property of Multiplication states that any number, no matter how gigantic, multiplied by zero is always zero. It's the simplest and most powerful multiplication rule you'll ever learn. It’s a total knockout!
Section 5
Checking Division with Multiplication
To check a division problem, you multiply the quotient by the divisor and then add the remainder. The result should equal the dividend.
To check if , multiply the quotient and divisor: . It matches!
To check if R , calculate . This gives , which is correct.
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Section 1
📘 Fact Families
Multiplication and division are inverse operations. A fact family is a set of related multiplication and division facts that use the same three numbers.
Next, you will solidify this concept through worked examples and practice problems, challenging you to build complete fact families from given sets of numbers.
Section 2
Multiplying with Partial Products
When multiplying a number by a two-digit number, you can multiply by the ones digit first, then by the tens digit, and add the two partial products together to get the final product.
To find , calculate the partial products: .
Calculating becomes , which is .
Section 3
Commutative Property of Multiplication
Changing the order of the factors does not change the product.
To check if is correct, you can reverse the factors and confirm that .
Multiplying gives 300, which is the same product you get from multiplying .
Section 4
Zero Property of Multiplication
If zero is a factor of a multiplication, the product is zero.
Even a big number like is just .
If you have 15 baskets with 0 apples in each, you have apples in total.
Calculating simplifies to , which equals .
Zero is the superhero of math that makes big numbers vanish! The Zero Property of Multiplication states that any number, no matter how gigantic, multiplied by zero is always zero. It's the simplest and most powerful multiplication rule you'll ever learn. It’s a total knockout!
Section 5
Checking Division with Multiplication
To check a division problem, you multiply the quotient by the divisor and then add the remainder. The result should equal the dividend.
To check if , multiply the quotient and divisor: . It matches!
To check if R , calculate . This gives , which is correct.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter