Answer :
Certainly! To use the Distributive Property to find the product of 7 × 63, we can break down the number 63 into smaller, more manageable parts, then apply the property to simplify the calculation. Here is the process step by step:
1. Break down the number 63 into parts that are easier to multiply with 7. For example, we can break down 63 into 60 + 3, since 60 is a multiple of 10 and therefore easier to work with.
2. Apply the Distributive Property, which says that for any numbers a, b, and c, the equation a * (b + c) is equal to (a * b) + (a * c).
3. Using the Distributive Property, we have:
7 × (60 + 3) = (7 × 60) + (7 × 3)
4. Next, we calculate each part of the expression individually:
a. 7 × 60 = 420 (since 7 times 6 tens is 42 tens, or 420)
b. 7 × 3 = 21 (since 7 times 3 is 21)
5. Now, add these two products together to get the final result:
420 + 21 = 441
So, the expression using the Distributive Property to find the product of 7 × 63 is written as (7 × 60) + (7 × 3), and the result is 441.
