## Writing and Recognizing Decimals in Expanded Form

#### Aligned To Common Core Standard:

**Grade 5 Base Ten** - 5.NBT.A.3.A

In regards to decimals, what is the difference between Expanded Form and Standard Form?
Learning decimals can be difficult if not understood properly, especially if you want to learn the difference between the expanded form and the standard form. A decimal is defined as the number which is part of a whole. For example, if you eat half of your favorite chocolate bar, then you have eaten 0.5 part of it. The decimal point represents the 1/2 of the whole chocolate bar.
Now, when you have learned what decimal is all about, letâ€™s move onto the expanded and standard form of decimal numbers.
**Standard form of Decimals** -The standard form of decimals is how you simply write the decimal number in its original form. That is, in the form 54.315; where the place value of the decimal can be shown in the table below.
5 Tens, 4 Ones, 3 Tenths, 1 Hundredths , 5 Thousandths
**Expanded form of Decimals** - In the expanded form of Decimals, you can write numbers by also showing the value of the digit but by adding them individually. See the table below.
**Expanded Notation** = 50 + 4 + 3/10 + 1/100 + 5/1000

### Printable Worksheets And Lessons

- Step-by-step
Lesson- Writing it in standard form and then convert an expanded
number to back.

- Guided Lesson
- This lesson builds, as far as difficulty, with each question.

- Guided Lesson
Explanation - There are a number of different ways to explain
this. I give students two different perspectives.

- Practice Worksheet 1 -
A simple string of rote problems for you.

- Practice Worksheet 2 - This sheet extended the difficulty by using higher and lower place values.

#### Practice Worksheets

Some more practice or review sheets for those that could use the work .

- Practice 3 - Write the numbers in expanded form.
- Practice 4 - Write the numbers in standard form.