Mastering Decimal Multiplication- A Step-by-Step Guide to Multiplying Decimals by Whole Numbers_2

How to Multiply Decimal by Whole Number: A Step-by-Step Guide

Multiplying a decimal by a whole number might seem like a simple task, but it can sometimes lead to confusion, especially when dealing with different place values. In this article, we will provide you with a step-by-step guide on how to multiply decimal by whole number, ensuring that you achieve accurate results every time.

Step 1: Understand the Decimal

Before you start multiplying, it is crucial to understand the decimal you are working with. Identify the decimal point and count the number of digits to the right of it. This will determine the place value of the decimal.

Step 2: Remove the Decimal Point

To multiply the decimal by a whole number, you first need to remove the decimal point from the decimal. This can be done by multiplying the decimal by a power of 10 that has the same number of zeros as the number of digits to the right of the decimal point. For example, if you have a decimal with two digits to the right of the decimal point, multiply it by 100.

Step 3: Multiply by the Whole Number

Now that you have removed the decimal point, multiply the resulting whole number by the whole number you are working with. This is a straightforward multiplication problem, and you can use any method you prefer, such as the traditional long multiplication or the column method.

Step 4: Insert the Decimal Point

After you have completed the multiplication, you need to insert the decimal point in the correct place. The number of digits to the right of the decimal point in the final answer should be the same as the number of digits to the right of the decimal point in the original decimal.

Step 5: Round the Result (If Necessary)

If the final answer has more decimal places than required, you may need to round it to the nearest whole number or decimal place. This will depend on the context of the problem and the level of precision required.

Example:

Let’s say you want to multiply 2.5 by 4.

1. Understand the decimal: 2.5 has one digit to the right of the decimal point, which means it is in tenths place.
2. Remove the decimal point: 2.5 becomes 25.
3. Multiply by the whole number: 25 multiplied by 4 equals 100.
4. Insert the decimal point: Since we had one digit to the right of the decimal point in the original decimal, we insert the decimal point one place to the left of the 1 in 100, resulting in 10.0.
5. Round the result (if necessary): In this case, the result is already a whole number, so no rounding is required.

By following these steps, you can multiply decimals by whole numbers with ease and accuracy. Remember to always double-check your work and make sure the decimal point is in the correct place in the final answer.