How do you write a number in expanded form? This question often arises when dealing with mathematics, especially when students are learning about place value and number representation. Expanded form is a way to express a number by breaking it down into its individual place values and multiplying each digit by its corresponding power of ten. Understanding how to write numbers in expanded form is crucial for mastering basic arithmetic and algebraic concepts.
In mathematics, each digit in a number has a specific place value, which is determined by its position in the number. For instance, in the number 123, the digit 1 is in the hundreds place, the digit 2 is in the tens place, and the digit 3 is in the ones place. To write a number in expanded form, you need to multiply each digit by its place value and then add the results together.
Let’s take the number 456 as an example. To write this number in expanded form, we need to consider the place values of each digit:
– The digit 4 is in the hundreds place, so its place value is 4 x 100 = 400.
– The digit 5 is in the tens place, so its place value is 5 x 10 = 50.
– The digit 6 is in the ones place, so its place value is 6 x 1 = 6.
Now, we add these place values together to get the expanded form of the number 456:
400 + 50 + 6 = 456
Therefore, the expanded form of the number 456 is 400 + 50 + 6.
Writing numbers in expanded form is an essential skill that helps students understand the relationship between digits and their place values. It also enables them to visualize the number and its components, which is particularly useful when solving word problems or performing operations like addition, subtraction, multiplication, and division.
In conclusion, to write a number in expanded form, follow these steps:
1. Identify the place value of each digit in the number.
2. Multiply each digit by its corresponding place value.
3. Add the results together to get the expanded form of the number.
By mastering this skill, students will be well-prepared to tackle more complex mathematical concepts and problems.
