This worksheet introduces students to four essential multiplication properties: identity, associative, commutative, and distributive multiplication properties. Students will be provided with an explanation for these concepts before engaging with six problems requiring students to identify and apply the correct property.
Imagine you are playing with numbers. The identity property is like a special number that doesn't change others; for addition, it's 0 because adding 0 to any number keeps it the same, and for multiplication, it's 1 because multiplying by 1 keeps a number the same. The associative property is about how you group numbers when adding or multiplying; it doesn't matter how you group them, you'll get the same result like (2 + 3) + 4 is the same as 2 + (3 + 4). The commutative property is about the order of numbers; for addition and multiplication, it doesn't matter if you switch them around like 3 + 5 is the same as 5 + 3. Lastly, the distributive property lets you multiply a number by a group of numbers added together by distributing the multiplication over each number like 2 * (3 + 4) is the same as (2 * 3) + (2 * 4). It's just different ways to play with numbers!