3) By using distributive property find: \( 8 \times 8=( \)

To find \( 8 \times 8 \) using the **distributive property**, we can break down one of the numbers into smaller, more manageable parts. Here's a step-by-step explanation: ### **Step 1: Break Down One of the 8s** Let's express one of the 8s as the sum of two smaller numbers. For example: \[ 8 = 5 + 3 \] So, the original multiplication problem becomes: \[ 8 \times 8 = 8 \times (5 + 3) \] ### **Step 2: Apply the Distributive Property** The distributive property states that: \[ a \times (b + c) = (a \times b) + (a \times c) \] Applying this to our problem: \[ 8 \times (5 + 3) = (8 \times 5) + (8 \times 3) \] ### **Step 3: Perform the Multiplications** Calculate each part separately: \[ 8 \times 5 = 40 \] \[ 8 \times 3 = 24 \] ### **Step 4: Add the Results Together** Now, add the two products: \[ 40 + 24 = 64 \] ### **Conclusion** By using the distributive property, we've determined that: \[ 8 \times 8 = 64 \] This method simplifies multiplication by breaking it down into easier, smaller multiplications and then combining the results.