Final answer:
To find the product of 7 times 63 using the distributive property, distribute 7 to both terms inside the parentheses and simplify.
Step-by-step explanation:
The distributive property is a fundamental concept in algebra stating that, for any real numbers a, b, and c, the expression a(b + c) is equal to ab + ac. It demonstrates how to distribute or break down a factor outside parentheses to each term inside, facilitating simplification and solving algebraic expressions.
To find the product of 7 times 63 using the distributive property, we can write it as 7(60 + 3).
Then we distribute the 7 to both terms inside the parentheses: 7 * 60 + 7 * 3.
This simplifies to 420 + 21, which equals 441.
Therefore, the product of 7 times 63 is 441.