What are the partial products of 4.6 x 3.5?

The correct answer is:

The partial products are 1380 and 230, which makes 1610; placing the decimal gives us 16.10.

Explanation:

Using partial products, we ignore the decimal point and multiply as if we were using whole numbers. We multiply the tens digit in the second number, 3 (3*10 = 30), by the tens digit in the first number, 4 (4*10 = 40):

30*40 = 1200

We now multiply that 3, which has a value of 30, by 6:

30*6 = 180

This makes 1380.

We now multiply the ones digit in the second number, 5, by the tens digit in the first number, 4 (with a value of 40):

5(40) = 200

Multiply that 5 by the ones digit in the first number, 6:

5(6) = 30

This makes 200+30 = 230.

Together, we get 1380+230 = 1610; the problem has 2 digits behind the decimal total, so the answer will as well, giving us 16.10.