Multiplying Decimals, Steps and Examples

Multiplying decimals can be a little difficult at first, but it will become very easy once you know a few simple steps. You can multiply decimals by decimals, whole numbers, and even by 10, 100, and 1000. The idea is to first ignore the decimal points, treat the numbers as if they were whole numbers, multiply them, and then place the decimal point in the answer in the right position. Here we will learn how to multiply decimals clearly, step by step, and with easy-to-understand multiplying decimals examples so students can practice and succeed with decimal multiplication.

Read More: Top 10 Tricks to Master Mental Maths

What is Multiplying Decimals?

When we say multiply decimals, it means we are finding the product of numbers that have decimal points. Multiplying decimals is a very similar process to normal multiplication, except we need to be careful about where the decimal will go. The realization of this will make solving problems that involve money, measurements, and many other real-life situations that involve math really simple. For example:

• 0.5 × 2 = 1.0

• 3.2 × 1.5 = 4.8

Steps to Multiply Decimals

Students often wonder, How do you multiply decimals step by step? The method is simple and involves multiplying as if the numbers are whole, then adjusting for the decimal point at the end. Once you know these steps, you can solve any decimal multiplication confidently. Below are the steps to multiply decimals:

• Ignore the Decimal: First, remove the decimal point and multiply the numbers as if they were whole numbers.

• Multiply Normally: Multiply the numbers like usual multiplication.

• Count Decimal Places: Count the total number of digits after the decimal in both numbers.

• Place the Decimal: Put the decimal point in the answer according to the count from step 3.

Read More: Before Number Concept

Multiplying Decimals with Whole Numbers

Sometimes in math, we need to multiply a decimal by a whole number. This is called multiplying decimals with whole numbers. The method is almost the same as multiplying two whole numbers, but we carefully put the decimal point in the correct position at the end. This makes solving money and measurement problems much easier.

Example:

• 3.5 × 4
  Step 1: Ignore the decimal → 35 × 4 = 140
  Step 2: Put the decimal after 1 digit → 14.0

Answer: 3.5 × 4 = 14.0

Multiplying Decimals by 10, 100, and 1000

One of the easiest cases of decimal multiplication is when we multiply by 10, 100, or 1000. Here, you don’t need to multiply in the long method. Instead, you just move the decimal point to the right depending on the number of zeros. This makes multiplying decimals by 10, 100 and 1000 very quick and simple for students.

• Multiply by 10: Move the decimal one place to the right.

• Multiply by 100: Move the decimal two places to the right.

• Multiply by 1000: Move the decimal three places to the right.

Examples:

• 4.5 × 10 = 45

• 4.5 × 100 = 450

• 4.5 × 1000 = 4500

Enroll Now for Maths Online Classes

Multiplying Decimals Examples

Learning through examples is the best way to understand maths. Here, we will solve some multiplying decimals examples step by step. Each example shows how to handle the decimal, count decimal places, and place it correctly in the answer. Practicing such problems helps students get faster and more confident in decimal multiplication.

Example 1:
0.6 × 0.4
Step 1: Ignore decimal → 6 × 4 = 24
Step 2: Count decimal places (2 total) → 0.24

Answer: 0.6 × 0.4 = 0.24

Example 2:
2.5 × 0.3
Step 1: Ignore decimal → 25 × 3 = 75
Step 2: Count decimal places (2 total) → 0.75

Answer: 2.5 × 0.3 = 0.75

Example 3:
7.2 × 5
Step 1: Ignore decimal → 72 × 5 = 360
Step 2: Place decimal after 1 digit → 36.0

Answer: 7.2 × 5 = 36.0

Read More:  Successor and Predecessor

Tips to Remember When Multiplying Decimals

Knowing rules and shortcuts makes math easier. When it comes to decimals, students sometimes make mistakes with decimal places. These simple tips will help you avoid confusion and improve accuracy. By practicing regularly and keeping these rules in mind, multiplying decimals will become a smooth process for you.

1. Always multiply normally first and think about the decimal later.

2. Count decimal places carefully to avoid mistakes.

3. When multiplying by 10, 100, or 1000, just move the decimal to the right.

4. Practice with many multiplying decimals examples to build confidence.

Why Learning Multiplying Decimals is Important?

Decimals are used in many day-to-day activities like shopping, banking, cooking, and measuring. That’s why learning how to multiply decimals is important for every student. With this skill, you can solve practical problems quickly and without confusion. Once you know the steps, you’ll see how useful it is in real life.

For example:

• Calculating money (₹2.5 × 4 chocolates = ₹10)

• Measuring length (0.75 m × 3 ropes = 2.25 m)

• Finding area (3.5 m × 2.5 m = 8.75 m²)

Also Read: Zero Divided by a Number

How CuriousJr Helps Children Learn Math with Fun and Confidence

Many children understand math in class but struggle to solve problems on their own at home. This happens when they only copy solutions instead of practising. Over time, this affects exam performance and reduces their interest in the subject.

CuriousJr’s Mental Maths Classes make after-school learning simple, engaging, and effective. Specially designed for students of Classes 3 to 9, these online sessions adapt to each child’s pace and learning style.

Here’s how CuriousJr supports your child:

• Step-by-step lessons, from basics to advanced

• Two teachers: one explains, the other clears doubts

• Homework help with practice worksheets

• Flexible online classes from home

• Regular progress updates for parents