- 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

Decimal multiplication is similar to whole number multiplication.

**Rules for Decimal Multiplication**

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

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 0.07 × 2.3

### Solution

**Step 1:**

0.07 × 2.3

Multiplying without decimal points 7 × 23 = 161

**Step 2:**

The number of decimal places in 0.07 is 2

The number of decimal places in 2.3 is 1

**Step 3:**

So the product has three decimal places i.e.,0.07 × 2.3 = 0.161

Multiply 0.06 × 3.1

### Solution

**Step 1:**

0.06 × 3.1

Multiplying without decimals 6 × 31 = 186

**Step 2:**

The decimal places in 0.06 is 2

The decimal places in 3.1 is 1

**Step 3:**

So the product has three decimal places i.e., 0.06 × 3.1 = 0.186