Multiplication Facts and Properties
Multiplication is a faster way of adding the same number multiple times. For example, instead of writing 5 + 5 + 5, we can write 3 × 5, which means we're adding 5 three times.
Multiplication Facts
Multiplication facts are the basic multiplication problems that you should try to memorize. These include multiplying numbers from 0 to 12.
Important Multiplication Facts to Know:
- Any number multiplied by 0 equals 0
- Any number multiplied by 1 equals that number
- Any number multiplied by 2 is the same as doubling the number
- Any number multiplied by 10 - just add a zero to the end of the number
Properties of Multiplication
Multiplication has special properties that make it easier to solve problems. Let's learn about them!
Commutative Property
The order of the factors doesn't change the product.
For example: 4 × 6 = 6 × 4 = 24
Think of it like this: Whether you have 4 rows of 6 apples or 6 rows of 4 apples, you still have the same number of apples!
Associative Property
How you group the factors doesn't change the product.
For example: (2 × 3) × 4 = 2 × (3 × 4)
This means (6) × 4 = 2 × (12)
Both equal 24!
Distributive Property
This property helps us break down larger multiplication problems into smaller ones.
For example: 7 × (3 + 2) = (7 × 3) + (7 × 2) = 21 + 14 = 35
It's like distributing the multiplication to each part inside the parentheses.