College

Multiply 789 and 75 using the standard algorithm. What is the product?

A. 58,175
B. 9,468
C. 59,175
D. 56,975

Answer :

Sure! Let's multiply 789 and 75 using the standard algorithm, which involves breaking down the multiplication into steps.

### Step 1: Multiply by the Ones Place
First, multiply 789 by the 5 in the ones place of 75.

```
789
× 5
--------
3945 ← This is 789 multiplied by 5
```

### Step 2: Multiply by the Tens Place
Next, multiply 789 by the 7 in the tens place of 75. Remember to add a zero at the end of this result because we're actually multiplying by 70 (not just 7).

```
789
× 70
--------
55230 ← This is 789 multiplied by 70 (or 789 × 7, with a zero added)
```

### Step 3: Add the Results
Now, add the two results together to get the final product.

```
3945
+55230
--------
59175
```

So, the product of 789 and 75 is 59,175.