What are the three ways to put numbers in expanded form?

To put numbers in expanded form, there are three key approaches you can use. Here they are:

1. Place Value Method: In this method, numbers are broken down based on their place value. Start from the leftmost digit and continue to the right, assigning each digit its corresponding place value. Multiply each digit by its associated place value and then combine the results.

For example, let's consider the number 536:

5 x 100 + 3 x 10 + 6 x 1

Expanded form: 500 + 30 + 6 = 536

2. Factored Form Method: In this method, numbers are expressed as products of their prime factors. First, find the prime factors of each digit and multiply them together, shown as a product.

For example, let's consider the number 824:

8 x 2 x 2 x 2 x 103

Expanded form: 800 + 20 + 4 = 824

3. Base-10 Method: This method is particularly useful with decimal numbers. It involves identifying each digit's position in relation to the decimal point and expressing it as a sum of multiples of powers of 10.

For example, let's consider the number 12.47:

1 x 10 + 2 x 1 + 4 x 0.1 + 7 x 0.01

Expanded form: 10 + 2 + 0.4 + 0.07 = 12.47

By using these three methods, you can easily put numbers in expanded form depending on the specific requirements or problem you are solving.

Since this is not my area of expertise, I searched Google under the key words "math expanded forms" :

http://www.google.com/search?client=safari&rls=en&q=math+expanded+forms&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.

I hope this helps.