SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Example

Title: Distributive Property

Grade: 6-a Lesson: S2-L2

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

Examples:

Solve by using distributive property \$9 times( 2 + 4)\$.

Step 1a

Given expression:

\$9 times ( 2 + 4 )\$
Apply the distributive property:

\$"a" times ("b" + "c") = "a" times "b" + "a" times "c"\$

\$9 times (2 + 4) = 9 times 2 + 9 times 4\$

Explanation: Here, we applied the distributive property of multiplication over addition by rewriting the expression.

Step 1b

Perform the multiplication:

\$ 9 times 2 + 9 times 4\$

18 + 36 = 54

So, \$9 times ( 2 + 4 ) = 54\$ after applying the distributive property and simplifying.

Explanation: Here, multiplication and addition were executed. Thus, applying the distributive property to \$9 times( 2 + 4 )\$ yields the result of 54.

Solve by using distributive property \$5 times( 14 - 6 )\$.

Step 2a

Given expression:

\$ 5 times ( 14 - 6 )\$
Apply the distributive property:

\$"a" times ("b" − "c") = "a" times "b" − "a" times "c"\$

\$5 times (14 − 6) = 5 times 14 − 5 times 6\$

Explanation: Here, we rewrote and applied the distributive property of multiplication over subtraction.

Step 2b

Perform the multiplication and Subtract:

\$5 times 14 - 5 times 6\$

70 - 30 = 40

So, \$ 5 times ( 14 - 6 ) = 40\$ after applying the distributive property and simplifying.

Explanation: We multiplied and then subtracted. So, \$5 times ( 14 - 6 )\$ equals 40 because of the distributive property.