Multiplying Decimals

 Here we learn multiplication of decimals with whole numbers.

How to multiply decimals step by step.

Multiply decimals by one digit whole numbers

Step: 1- First we place both numbers, then solve the multiplication problem as we normally would with whole numbers.

Example 1: 3.4 x 7

Step: 2 Starting to right, multiply each digit in the top number by each digit in the bottom number as with whole numbers. Add the products.

Step 3: Count the digits that come after the decimal point

Step 4: Place the decimal point in the product by counting the same digits as obtained above from its right most place.

 Answer: 3.4 x 7 = 2 3 . 8

Example 2: Multiplying  2 . 5 x 7

Answer: 2.5 x 7 = 17.5

Example 3: Multiplying  743 . 52 x 6

Answer: 743.52 x 6 = 4461.12

 Example 4: Multiplying  542.73 x 4

Answer: 542.73 x 4 = 2170.92

Multiply decimals by two digit whole numbers

Example 5: Multiplying 37.4 x 11

Answer: 37.4 x 11 = 411.4

Example 6: Multiplying  5. 7 x 3 2

Answer: 5.7 x 32 = 182.4

Answer: 5 3 .9 2 x 0. 4 6 = 182.4

Multiply decimals by three digit whole numbers

Example 7: Multiplying  35.124 x 0.326

Answer: 35.124 x 0.3 2 6 = 11.450424

Example 7: Multiplying  63.24 x 3.1

Answer: 63.24 x 3.1 = 196.044