Clear up your confusion regarding the Regrouping by learning about the Expanded Form. Expanded Subtraction is a method that demonstrates the subtraction of numbers using the Expanded Notation. When you write a number in the expanded form it shows the place value of each digit in it.
In this article of ours, we will discuss in detail how to subtract numbers in expanded form both with and without borrow. Refer to the Solved Examples on Expanded Method Subtraction and apply the related knowledge.
For Example 345 written in the expanded form is 300+40+5
- Subtraction Placing the Numbers
- Worksheet on Number in Expanded Form
- Expressing Numbers in the Expanded Form
How to do Expanded Form Subtraction?
Follow the simple steps listed down to subtract numbers in expanded form. They are in the following fashion
- The first and foremost step you need to follow is to break apart each number.
- Check if you need to regroup.
- Begin with Ones and see if you need to regroup.
- Later move on to the tens and verify whether to regroup or not.
- Continue with hundreds, thousands, and so on as per the given number.
- After performing the above steps combine the numbers together to obtain the actual result.
Expanded Form Subtraction Examples
Subtract 28 from 79 by arranging them in long-form using Expanded Form?
Firstly, arrange the digits in columns
The difference of One’s Digits is 9-8 =1
The difference of Tens Digits is 7-2 =5
Combining the Numbers Together we will get the result as 5 Tens + 1 Ones = 51
Subtract 32 from 66 arranging them in long-form using the Expanded Form?
Arrange the digits in columns and check if regrouping is necessary or not.
Difference of One’s Digits = 6-2 = 4 Ones
Difference of Ten’s Digits = 6 -3 = 3 Tens
Combining the Numbers Together we will have 3 Tens + 4 ones = 34
Subtract 321 from 530 in Expanded Form with borrowing?
Arrange the digits in columns and do if regrouping is required or not.
Find the difference of One’s Digits i.e. 0-1. As 0 <1, we need to do regrouping so we will borrow 1 ten from the tens Column. Thus it becomes 10 now subtracting one’s digits we get 10-1 = 9 ones.
Now, find the Difference between Tens Digits as we gave 1 ten to one column we will have 2 tens in the tens in the tens column. Now, Subtracting 2-2 = 0 Tens
Now, moving on to the Hundreds Column we have the difference as 5-3 = 2 Hundred.
Now, adding the numbers together we have 2 Hundreds+ 0 Tens + 9 Ones = 209.
Solve 830- 210 in Expanded Form without borrowing?
Firstly arrange the numbers written in expanded form in columns. There is no need for regrouping as there is no smaller digit in the larger number compared to the smaller number.
Subtracting One’s Digits we will have the result as 0-0 = 0 Ones
Difference of Tens Digits = 3-1 = 2 Tens
Difference of Hundreds Digits = 8-2 = 6 Hundreds
Combining the numbers we will obtain the result i.e. 6 Hundreds + 2 Tens + 0 Ones = 620