Mutiply 76 by 96.

Answer

To multiply 76 by 96, we can break the multiplication into simpler steps. Here’s a step-by-step solution:

### Step 1: Break down the numbers
We can break down 96 into 90 and 6. So, we can express the multiplication as:
\[ 76 \times 96 = 76 \times (90 + 6) \]

### Step 2: Apply the distributive property
Using the distributive property, we can rewrite the multiplication:
\[ 76 \times 96 = 76 \times 90 + 76 \times 6 \]

### Step 3: Calculate \(76 \times 90\)
To calculate \(76 \times 90\):
\[ 76 \times 90 = 76 \times 9 \times 10 \]
First, calculate \(76 \times 9\):
\[ 76 \times 9 = 684 \]
Now, multiply by 10:
\[ 684 \times 10 = 6840 \]

### Step 4: Calculate \(76 \times 6\)
Now, calculate \(76 \times 6\):
\[ 76 \times 6 = 456 \]

### Step 5: Add the two results together
Now, we add the two results from Step 3 and Step 4:
\[ 6840 + 456 = 7296 \]

### Final Answer
Thus, \(76 \times 96 = 7296\).

---