Using Distributive Property to Solve 764 × 169 - 764 × 179

To solve the given expression using distributive property, we can first factor out 764 from both terms. This gives us:

764 × (169 - 179)

Now, we can simplify the expression inside the parentheses by subtracting 179 from 169. This gives us:

764 × (-10)

Finally, we can multiply 764 and -10 to get the answer. This gives us:

-7640

Therefore, the solution to 764 × 169 - 764 × 179 using distributive property is -7640.

Explanation in Detail

1. Distributive Property: The distributive property states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In other words, a × (b + c) = a × b + a × c. We can use this property to simplify algebraic expressions and solve equations.

2. Factoring out 764: To use distributive property to solve 764 × 169 - 764 × 179, we can first factor out 764 from both terms. This gives us:

764 × (169 - 179)

3. Simplifying the expression inside the parentheses: Now, we can simplify the expression inside the parentheses by subtracting 179 from 169. This gives us:

764 × (-10)

4. Multiplying to get the answer: Finally, we can multiply 764 and -10 to get the answer. This gives us:

-7640

Conclusion

Using distributive property, we can simplify algebraic expressions and solve equations. In this case, we used distributive property to factor out 764 from the given expression and simplify it. The final answer was -7640.