Subtraction with Regrouping

We will learn subtraction 4-digit numbers with regrouping.

Subtraction of 4-digit numbers can be done in the same way as we do subtraction of smaller numbers. We first arrange the numbers one below the other in place value columns and then we start subtracting from the ones place and regroup, if required as shown in the following examples.

Solved Examples on Subtractionion with Regrouping:

1. Subtract 3958 from 7461.

Solution:

Step I: Arrange the numbers vertically.

Step II: Subtract the ones. Since 8 > 1, we cannot subtract 8 from 1. Regroup 6 tens and 1 one. Now, 6 tens + 1 one = 5 tens and 11 ones. 11 – 8 = 3 ones. Write 3 in ones column.

Step III: Subtract the tens. 5 tens – 5 tens = 0 tens. Write 0 in tens column.

Step IV: Subtract the hundreds. Since 9 > 4, we cannot subtract 9 from 4. Regroup 7 thousands and 4 hundreds as 6 thousands and 14 hundreds. 14 – 9 = 5 hundreds. Write 5 in hundreds column.

Step V: Subtract the thousands. 6 – 3 = 3 thousands. Write 3 in thousands column.


Subtraction with Regrouping

Thus, 7461 – 3958 = 3503.


2. Fill in the missing digits in the boxes:

We can find missing digits using addition and subtraction.

Subtraction with Regrouping

Solution:

Steps I: Add the difference to the minuend to get the subtrahend. 3 + 6 = 9

Step II: Subtract the difference from subtrahend to get the minuend. 5 – 4 = 1

4-Digit Subtraction with Regrouping


Questions and Answers on Subtraction without Regrouping:

I. Find the difference:

(i) 6581 – 2339

(ii) 6467 – 4278

(iii) 7863 – 4790

(iv) 8800 – 5769

(v) 8810 – 6790

(vi) 2435 – 1692

(vii) 9000 – 7299

(viii) 3954 – 3874

(ix) 4964 – 3978

(x) 5007 – 4829

(xi) 4601 – 3709

(xii) 8841 – 7961


Answer:

(i) 4242

(ii) 2189

(iii) 3073

(iv) 3031

(v) 2020

(vi) 743

(vii) 1701

(viii) 80

(ix) 986

(x) 178

(xi) 892

(xii) 880


II. Fill in the blanks:

(i) The predecessor of 8145 is ……………………

(ii) 1000 less than 6982 is ……………………

(iii) When 500 is taken from 7687, we get ……………………

(iv) When we subtract 2100 from 4598, we get ……………………

(v) Reducing 3500 from 7000 given us ……………………

(vi) Taking away 2222 from 3456 leaves ……………………

(vii) If we add 50 and 300 and subtract it from 6854, we get ……………………

(viii) …………………… - 501 = 500


Answer:

(i) 8144

(ii) 5982

(iii) 7187

(iv) 2498

(v) 3500

(vi) 1234

(vii) 6504

(viii) 1001


III. Find the missing numbers in the following:

Find the Missing Numbers

Answer:

Find the Missing Numbers in 4-Digit Subtraction

IV. Find the difference between:

(i) 7000 - 5409

(ii) 6845 and 4319

(iii) 3225 and 1084

(iv) 2965 and 3001

(v) 7486 and 9241

(vi) 6810 and 3920


Answer:

(i) 1591

(ii) 2526

(iii) 2141

(iv) 36

(v) 1455

(vi) 2890





4th Grade Math Activities

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