SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Example

Title: Commutative Property

Grade: 6-a Lesson: S1-L8

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

If 11 × 17= 187 use commutative property and then find 17 × 11.

Step 1a

Given Equation:

11 × 17 = 187

Applying the Commutative Property of Multiplication (\$ a times b = b times a\$):

17 × 11 = 187

Result:

17 × 11 = 187

So, both 11 × 17 and 17 × 11 are equal to 187.

Explanation: The commutative property of multiplication allows us to switch the order of the numbers being multiplied without changing the result. Therefore, 11 × 17 and 17 × 11 will give the same result.

Find the Commutative property of addition for 12 + 13.

Step 2a

Given that:
12 + 13

Using the Commutative Property(a + b = b + a):
12 + 13 = 13 + 12

Performing the Addition:
12 + 13 = 25
13 + 12 = 25

The commutative property of addition yields 25 for both 12 + 13 and 13 + 12

Explanation: Utilizing the Commutative property, we exchange 13 and 12, then sum both sides to validate
12 + 13 = 13 + 12.