Step-by-Step Instructions
Identify the Individual Digits
First, identify the individual digits of the number. In this case, the digits are 9, 4, and 5.
Determine the Place Value of Each Digit
Next, determine the place value of each digit. The place values are: 9 (hundreds), 4 (tens), and 5 (ones).
Apply the Formula
Now, apply the formula by multiplying each digit by its respective place value. For the number 945, this would be: 9 * (10 ^ 2) + 4 * (10 ^ 1) + 5 * (10 ^ 0).
Calculate the Expanded Form
Perform the calculations: 9 * 100 + 4 * 10 + 5 * 1 = 900 + 40 + 5 = 945. So, the expanded form of 945 is 900 + 40 + 5.
Common Mistakes to Avoid
Common mistakes to avoid when writing numbers in expanded form include forgetting to multiply each digit by its respective place value, or incorrectly calculating the place values. To avoid these mistakes, double-check your work and make sure to follow the formula carefully.
Using the Calculator for Convenience
While it's essential to learn how to write numbers in expanded form manually, you can use an online expanded form calculator for convenience. This can save you time and help you verify your calculations.
Writing numbers in expanded form is a fundamental concept in mathematics, where a number is expressed as the sum of its individual digits multiplied by their respective place values. This guide will walk you through the step-by-step process of writing numbers in expanded form manually.
Introduction to Expanded Form
Expanded form is a way of expressing a number as the sum of its individual digits multiplied by their respective place values. For example, the number 456 can be written in expanded form as 400 + 50 + 6.
The Formula
The formula for writing a number in expanded form is: dig1 * (base ^ (n-1)) + dig2 * (base ^ (n-2)) + ... + digN * (base ^ 0) where dig1, dig2, ..., digN are the individual digits of the number, base is the base of the number system (usually 10), and n is the number of digits.
Worked Example
Let's take the number 945 as an example. To write this number in expanded form, we need to follow the steps below: