Verify distributive property: 6 × (15 + 5)a)90b)120c)110d)100Correct a...
Understanding the Distributive Property
The distributive property states that for any numbers a, b, and c, the equation a × (b + c) is equal to a × b + a × c. Let's verify this property with the expression 6 × (15 + 5).
Step 1: Calculate Inside the Parentheses
- First, we need to evaluate the expression inside the parentheses:
15 + 5 = 20
Step 2: Apply the Distributive Property
- Now, let's apply the distributive property:
6 × (15 + 5) = 6 × 20
Step 3: Perform the Multiplication
- Next, we multiply:
6 × 20 = 120
Conclusion
- The result of 6 × (15 + 5) is 120.
- Therefore, the correct answer is option 'B', which is 120.
By breaking down the problem using the distributive property, we confirmed that the equation holds true and reached the correct result. This method not only simplifies calculations but also reinforces the understanding of algebraic principles.
Verify distributive property: 6 × (15 + 5)a)90b)120c)110d)100Correct a...
LHS = 6 × (15 + 5) = 6 × 20 = 120
RHS = 6 × 15 + 6 × 5 = 90 + 30 = 120
Since LHS = RHS = 120, property verified.