How do you write a number in expanded form?
678 is six hundred seventy-eight
some call this expanded form:
600 + 70 + 8
To write a number in expanded form, you need to break it down into its individual place values. Here's a step-by-step guide on how to do it:
Step 1: Identify the place value of each digit:
Start by looking at the number and identifying the place value of each digit. The place values are based on powers of 10. The rightmost digit is in the "ones" place, the digit to the left of it is in the "tens" place, the digit to the left of that is in the "hundreds" place, and so on.
Step 2: Write each digit in its expanded form:
Once you have identified the place value, write each digit in its expanded form based on its position. The expanded form of a digit in a particular place value is equal to the product of the digit and the value of that place. For example, if you have the number 425, the expanded form would be written as follows:
- The digit 4 in the hundreds place would be written as 4 x 100 (4 multiplied by 100).
- The digit 2 in the tens place would be written as 2 x 10 (2 multiplied by 10).
- The digit 5 in the ones place would be written as 5 x 1 (5 multiplied by 1).
Step 3: Add up the expanded forms:
After writing each digit in its expanded form, simply add them all together. Using the example of 425, the expanded form would be 4 x 100 + 2 x 10 + 5 x 1. Simplifying this expression, we get 400 + 20 + 5 = 425.
In summary, to write a number in expanded form, identify each digit's place value, write each digit in its expanded form based on its position, and then add them all together.