- 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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# Multiplication of Decimals That Have a Product Less Than 0.1

Multiplication of a decimal by another decimal is similar to whole number multiplication.

**Rules for Multiplication of a Decimal by another Decimal**

In the multiplication of a decimal number by another decimal, we first multiply the numbers by ignoring the decimal point.

We count the number of places of decimals in both the numbers and add.

We then put the decimal point before as many places in the product from the right as the number obtained in step above.

In this lesson, we are solving problems that involve multiplication of decimals that have a product less than 0.1

Multiply 0.3 × 0.23

### Solution

**Step 1:**

0.3 × 0.23

0.3 has one decimal place and 0.23 has two decimal places, so their product has three decimal places.

**Step 2:**

So, multiplying 0.3 × 0.23 = 0.069

The product is less than 0.1

Multiply 0.4 × 0.21

### Solution

**Step 1:**

0.4 × 0.21

0.4 has one decimal place and 0.21 has two decimal places, so their product has three decimal places.

**Step 2:**

So, multiplying 0.4 × 0.21 = 0.084

The product is less than 0.1