- Multiply and Divide Decimals
- Home
- Decimal Multiplication
- Multiplication of a Decimal by a Whole Number
- Decimal Multiplication: Problem Type 1
- Decimal Multiplication: Problem Type 2
- Multiplication of a Decimal by a Power of Ten
- Multiplication of a Decimal by a Power of 0.1
- Multiplication of Decimals That Have a Product Less Than 0.1
- Word Problem With Multiplication of Decimal and Whole Number
- Word Problem With Multiplication of Two Decimals
- Word Problem With Multiple Decimal Operations: Problem type 1
- Whole Number Division With Decimal Answers
- Division of a Decimal by a Whole Number
- Division of a Decimal by a 1-digit Decimal
- Division of a Decimal by a 2-digit Decimal
- Division of a Decimal by a Power of Ten
- Division of a Decimal by a Power of 0.1
- Decimal Division With Rounding
- Word Problem With Division of a Decimal and a Whole Number
- Word Problem With Division of Two Decimals
- Word Problem With Multiple Decimal Operations: Problem Type 2
- Average of Two Numbers

- Exponents of Decimals
- Squaring Decimal Bases: Products Greater Than 0.1
- Exponents and Decimals: Products Less Than 0.1

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# Decimal Multiplication: Problem Type 1

Decimal multiplication is done in a similar way as whole number multiplication.

**Rules for Decimal Multiplication**

First we multiply the decimal numbers as if they were whole numbers by ignoring the decimal points.

Here the decimal points are not lined up vertically as in addition and subtraction. Here the digits are lined up to the right.

The number of digits after the decimal point in both the numbers are counted and added.

In the final product, a decimal point is placed before that many digits from the right.

Multiply 13.4 × 0.35

### Solution

**Step 1:**

13.4 × 0.35

We line up the digits and not the decimal points

We now multiply the numbers by ignoring the decimal points and assuming as if they were whole numbers.

**Step 2:**

13.4 has one decimal place. 0.35 has two decimal places. So the product of these numbers has three decimal places.

Multiply 16.5 × 0.27

### Solution

**Step 1:**

16.5 × 0.27

We line up the digits and not the decimal points

We now multiply the numbers by ignoring the decimal points and assuming as if they were whole numbers.

**Step 2:**

16.5 has one decimal place. 0.27 has two decimal places. So the product of these numbers has three decimal places.