# 5.1.6. Multiplication of Decimal Fractions

Complete the figure shown.

- A1.7, 0.51, 1.275
- B170, 51, 127.5
- C1.7, 51, 127.5
- D1.7, 0.51, 127.5

### Example

Complete the figure shown.

### Solution

To multiply decimals, first ignore the decimal point in both numbers and multiply.

To place the decimal point, count the number of decimal places in the factors. The number of decimal places in the product is equal to that sum.

Step 1: Find the product of

The sum of the decimal places in these factors is 2, so place the decimal point in the product 2 places from the right: 1.7.

Step 2: Find the product of

The sum of the decimal places in these factors is 2, so place the decimal point in the product 2 places from the right: 0.51.

Step 3: Find the product of

The sum of the decimal places in these factors is 3, so place the decimal point in the product 3 places from the right: 1.275.