# 3 Digit By 1 Digit Multiplication Step By Step with Examples

3-digit by 1-digit multiplication is a mathematical operation in which two numbers with 3 digits and 1 digit are multiplied to find the product. This type of multiplication involves the use of basic multiplication skills and techniques. Such as place value, regrouping, and distributive property. The result of 3-digit by 1-digit multiplication is a 4-digit number.

## How to do 3 Digit By 1 Digit Multiplication with Example

Let’s multiply 357 by 4:

1. Multiply the units digit of 357 (7) by 4: 7 x 4 = 28.
2. Do Multiply the tens digit of 357 (5) by 4: 5 x 4 = 20.
3. Multiply the hundreds digit of 357 (3) by 4: 3 x 4 = 12.
4. Add the products from steps 1, 2, and 3 together: 28 + 20 + 12 = 60.

So, 357 x 4 = 1428.

There are several uses of 3-digit by 1-digit multiplication, including:

1. Everyday Mathematics: Multiplying 3-digit numbers by 1-digit numbers is a common operation in daily arithmetic, such as calculating bills, prices, or wages.
2. Elementary and secondary education: 3-digit by 1-digit multiplication is a fundamental arithmetic operation that students learn in early grades and use as a building block for more advanced math topics.
3. Financial calculations: Multiplying 3-digit numbers by 1-digit numbers is used in personal finance and business calculations, such as determining interest, loan payments, or investment returns.
4. Construction and engineering: Multiplying 3-digit numbers by 1-digit numbers is used in construction and engineering calculations, such as determining materials required project costs, or structural loads.
5. Scientific calculations: Multiplying 3-digit numbers by 1-digit numbers is used in scientific and technical calculations, such as determining quantities, conversions, or physical properties. #### Multiplying 3 Digit By 1 Digit

The purpose of 3-digit by 1-digit multiplication is to find the product of two numbers where one is a 3-digit number and the other is a 1-digit number. This operation is used in various fields and applications such as:

1. Everyday math: Calculating bills, prices, or wages often requires multiplying 3-digit numbers by 1-digit numbers.
2. Education: This operation is a fundamental arithmetic skill taught in early grades and used as a building block for more advanced math concepts.
3. Finance: Determining interest, loan payments, or investment returns often requires multiplying 3-digit numbers by 1-digit numbers.
4. Construction and engineering: Calculating materials required, project costs, or structural loads often requires multiplying 3-digit numbers by 1-digit numbers.
5. Science and technology: Determining quantities, conversions, or physical properties often requires multiplying 3-digit numbers by 1-digit numbers.

In conclusion, it is a key building block for more advanced math concepts and is essential for solving real-world problems in various fields. Understanding and mastering 3-digit by 1-digit multiplication is important for both personal and professional development.