Subtraction of 4-Digit Numbers

Subtraction of 4–digit number without regrouping

Example: Subtract 3131 from 7763

Step 1: Subtract ones. 3 ones – 1 one = 2 ones.

Step 2: Subtract tens. 6 tens – 3 tens = 3 tens.

Step 3: Subtract hundreds. 7 hundreds – 1 hundred = 6 hundreds

Step 4: Subtract thousands.

7 thousands – 3 thousands = 4 thousands

Answer: 4 thousands 6 hundreds 3 tens 2 ones or 4632.

Exercise 3.1

Subtraction of 4–digit numbers with regrouping

Example 1: Subtract 4146 from 8381

Step 1: Subtract ones. 6 ones cannot be subtracted from 1 one. Borrow 1 ten or 10 ones from tens column. Now,

10 ones + 1 ones = 11 ones.

11 ones – 6 ones = 5 ones

Step 2: Subtract tens. 8 tens – 1 ten = 7 tens are left in tens column. Therefore, 7 tens – 4 tens = 3 tens

Step 3: Subtract hundreds.

3 hundreds – 1 hundred = 2 hundreds

Step 4: Subtract thousands.

8 thousands – 4 thousands = 4 thousands

Answer: 4 thousands 2 hundreds 3 tens 5 ones or 4235.

Example 2: Subtract 2699 from 6574.

Step 1: Subtract ones. 9 ones cannot be subtracted from 4 ones. So, borrow 1 ten or 10 ones from tens column.

10 ones + 4 ones = 14 ones

14 ones – 9 ones = 5 ones

Step 2: Subtract tens. 9 tens cannot be subtract from 6 tens. So, borrow 1 hundred or 10 tens from hundreds column. 10 ten + 6 ten = 16 tens.

16 tens – 9 tens = 7 tens

Step 3: Subtract hundreds. 6 hundreds cannot be subtract from 4 hundreds. So, borrow 1 thousand or 10 hundreds from thousand column.

10 hundreds + 4 hundreds = 14 hundreds

14 hundreds – 6 hundreds = 8 hundreds

Step 4: Subtract thousands. 7 thousands – 4 thousands = 3 thousands

Answer: 3 thousands 8 hundreds 7 tens 5 ones or 3875

Example 3: Subtract 2567 from 6304

Step 1: Subtract ones. 7 ones cannot be subtracted from 4 ones. We need to borrow 1 ten from tens column. But there are no tens. So, borrow 1 hundred from hundreds column. Now there are 2 hundreds and 10 tens. 1 ten can now be borrowed. Therefore, 1 ten = 10 ones. 10 ones + 4 ones = 14 ones.

14 ones – 7 ones = 7 ones.

Step 2: Subtract tens. 9 tens – 6 tens = 3 tens.

Step 3: Subtract the hundreds. We cannot subtract 5 hundreds from 2 hundreds. Borrow 1 thousand or 10 hundreds. We have, 10 hundreds + 2 hundreds = 12 hundreds.

12 hundreds – 5 hundreds = 7 hundreds.

Step 4: Subtract thousands. 5 thousands – 2 thousands = 3 thousands.

Answer: 3 thousands 7 hundreds 3 tens 7 ones or 3737

Example 4: Subtract 6666 from 9000.

Step 1:Subtract ones. 5 ones cannot be subtracted from 0 ones. Borrow 1 ten. But there are no tens under tens column. There are no hundreds also. So, 1 thousand will be borrowed first. Now 8 thousands are left. We have 10 hundreds. Now 1 hundred is borrowed, leaving 9 hundreds. So we have 10 tens under tens column. Borrow 1 ten. There are now 9 tens in tens column.

After borrowing 1 ten, we have 10 ones in ones column.

Therefore, 10 ones – 6 ones = 4 ones

Step 2: Subtract tens. 9 tens – 6 tens = 3 tens.

Step 3: Subtract hundreds. 9 hundreds – 6 hundreds = 3 hundreds.

Step 4: Subtract thousands. 8 thousands – 6 thousands = 2 thousands

Answer: 2 thousands 3 hundreds 3 tens 4 ones or 2334

Exercise 3.2