Subtraction With Regrouping
Concept
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Subtraction with regrouping helps in understanding and performing subtractions easily using the concept of regrouping, which is also known as carrying or borrowing.
Subtraction with regrouping is a process of arranging two or more large numbers vertically to find the difference between the two given numbers. Regrouping is the process of making groups of tens when adding or subtracting two-digit numbers (or more) which is another name for carrying and borrowing. In subtraction with regrouping, we will encounter borrowing more often where we take away one number from the corresponding place value.
Rules
1. Arrange the numbers according to their place value in a vertical manner.
2. Start subtracting the digits at one’s place. If the number in the bottom is higher than the top number, we will borrow 1 from the tens column which will be combined to the number at the one’s place.
3. After giving 1 to the one’s place, the number at the ten’s place will reduce by one number. Now, subtract the numbers at the one’s place.
4. We follow step 2 with the rest of the numbers in 2-digit and more numbers. As and when we borrow, we subtract the numbers simultaneously. Subtract the last number to find the final difference.
Example
Subtract.
52 – 38
Solution
1. Arrange the numbers according to their place value in a vertical manner.
2. Start subtracting the digits at one’s place. If the number in the bottom is higher than the top number, we will borrow 1 from the tens column which will be combined to the number at the one’s place.
3. After giving 1 to the one’s place, the number at the ten’s place will reduce by one number. Now, subtract the numbers at the one’s place.
4. We follow step 2 with the rest of the numbers in 2-digit and more numbers. As and when we borrow, we subtract the numbers simultaneously. Subtract the last number to find the final difference.
52 – 38 = 14
Practice Subtraction With Regrouping
Practice Problem 1
Subtract.
Use the model to fill in the missing numbers.
Practice Problem 2
Subtract.
Fill in the missing numbers.
Practice Problem 3
Subtract.
Fill in the missing numbers.
Subtraction – to take away from a group or a number of things.
Minuend – the number from which we subtract
Subtrahend – the number which is subtracted.
Difference – The final result after subtracting the subtrahend from the minuend.
Regrouping is the process of making groups of tens when adding or subtracting two digit numbers (or more) and is another name for carrying and borrowing.
Pre-requisite Skills
Subtraction – Count back
Subtract Using Number Lines
Subtract Zero and All
Use doubles to subtract
Relate addition to subtraction
Missing Addend
Fact families
Subtract tens
Subtract tens and ones – Count back
Subtract 1 or 2 digits numbers from 2 digits numbers without regrouping