To find the product of 7 and 68 and apply the distributive property, you can break down 68 using its place value.
Let's start by writing 68 as 60 + 8.
Now, apply the distributive property, which states that for any numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c.
In this case, a = 7, b = 60, and c = 8.
So, we can rewrite the expression as:
7 * (60 + 8)
Next, distribute the 7 to both terms inside the parentheses:
7 * 60 + 7 * 8
Now, we can perform the calculations:
420 + 56
Finally, add the two values together:
476
Therefore, the product of 7 and 68 is 476, and the distributive property was applied by breaking down 68 into 60 + 8 and distributing the 7 to both terms.