How to Multiply Decimals and Whole Numbers?

Multiplying decimals is like multiplying the whole numbers, except for the placement of the decimal point in the product.

Related Topics

• How to Multiply and Divide Decimals?

Step by step guide to multiplying decimals and whole numbers

Multiplying decimals with whole numbers is like multiplying whole numbers, only the difference is in the placement of the decimal point. The following steps can be followed to multiply decimals with whole numbers:

• Step 1: First, ignore the decimal point and multiply the two numbers normally.
• Step 2: After multiplication, count the number of decimal places in the decimal number. The product will have the same number of decimal places.
• Step 3: Place the decimal point in the obtained product following step \(2\).

Let’s understand these steps by example. You can find the product of \(6.5 × 15\) as follow:

Multiplying Decimals and Whole Numbers – Example 1:

Find the product of \(1.25 × 15\).

Solution:

Exercises for Multiplying Decimals and Whole Numbers

Find each product.

1. \(\color{blue}{17×18.68}\)
2. \(\color{blue}{1.694×4265}\)
3. \(\color{blue}{567×0.076}\)
4. \(\color{blue}{15.799×157}\)

1. \(\color{blue}{317.56}\)
2. \(\color{blue}{7224.91}\)
3. \(\color{blue}{43.092}\)
4. \(\color{blue}{2480.443}\)