College Math Placement Practice Test

What is the product of 416 and 70 when set up vertically with a placeholder included?

1. A. 29,536

2. B. 29,120

3. C. 486

4. D. 2,912

The correct answer is: B. 29,120

To find the product of 416 and 70, it's essential to use the standard multiplication method, which involves setting the numbers up vertically. When you multiply vertically, you line up the numbers based on place value. First, you would multiply 416 by 0 (the digit in the ones place of 70), which results in 0. As this doesn't contribute to the total, we can move to the next digit. Next, you multiply 416 by 7 (the digit in the tens place of 70). Since we're in the tens place, you must remember to add a placeholder (0) below the line where you write down the first product, effectively shifting it over to the left by one digit. Calculating 416 multiplied by 7 gives: - 7 times 6 is 42 (write down 2, carry over 4). - 7 times 1 is 7, plus the 4 carried over gives 11 (write down 1, carry over 1). - 7 times 4 is 28, plus the 1 carried over gives 29. So, 416 multiplied by 7 equals 2912. Now, since this product is in the tens place, we