Maharashtra Board Class 5 Maths Chapter 3 Addition and Subtraction Set 10 Solutions

Std 5 Maths Chapter 3 Addition And Subtraction

Question 1. Subtract the following:
(1) 64293 - 28547
Solution:

	6	4	2	9	3
-	2	8	5	4	7
	3	5	7	4	6

Answer: 35746
(2) 37058 - 23469
Solution:

	3	7	0	5	8
-	2	3	4	6	9
	1	3	5	8	9

Answer: 13589
(3) 71540 - 58628
Solution:

	7	1	5	4	0
-	5	8	6	2	8
	1	2	9	1	2

Answer: 12912
(4) 50432 - 48647
Solution:

	5	0	4	3	2
-	4	8	6	4	7
	0	1	7	8	5

Answer: 01785
In simple words: To subtract these five-digit numbers, align them by place value and subtract column by column from right to left, borrowing when necessary.

🎯 Exam Tip: Always align numbers correctly by their place values and practice borrowing carefully to avoid errors in subtraction.

Subtraction Of Six And Seven-Digit Numbers

You have learnt to carry out subtractions of five-digit numbers. Using the same method, we can do subtractions of numbers with more than five digits. Study the following examples.
Subtract:
Example (1) 65,07,843 - 9,25,586

			14				13
	5	6	10		7		13
	6	5	0	7	8	4	3
-		9	2	5	5	8	6
	5	5	8	2	2	5	7

Example (2) 34,61,058 - 27,04,579

	3	4	6	1	0	5	8
-	2	7	0	4	5	7	9
	0	7	5	6	4	7	9

As shown in the above example, learn to subtract by keeping the borrowed numbers in your mind without writing them down.

Subtraction by another method Before subtracting one number from another, if we add 10 or 100 to both of them, the difference remains the same. Let us use this fact.

Example: Subtract : 724 - 376
As we cannot subtract 6 from 4, we shall add a ten to both the numbers. For the upper number, we untie one tens. We add those ten units to 4 units to get 14 units.

		12	14
	7	2	4
-	3	7	6
		1	1
	3	4	8

We write the tens added to the lower number below it, in the tens place.

We subtract 6 units from 14.

Now, we cannot subtract (7 + 1) i.e. 8 tens from 2 tens. So, we add one hundred to both the numbers. For the upper number, we untie the hundred and add the ten tens to 2 tens. To add the hundred to the lower number, we write it below, in the hundreds place. 12 tens minus 8 tens is 4 tens. And 7 hundreds minus (3 + 1) i.e. 4 hundreds is 3 hundreds. Hence, the difference is 348.

Example (1)

	4	0	5	8	2	5
-			9	8	7	6
	1	1	1	1	1
	3	9	5	9	4	9

Example (2)

	2	5	2	0	2	1	1
-		2	1	8	9	5	0
		1	1	1
	2	3	0	1	2	6	1

Roman Numerals Problem Set 5 Additional Important Questions And Answers

Question 1. Subtract the following:
(1) 81,345 - 35,667
Solution:

	8	1	3	4	5
-	3	5	6	6	7
	4	5	6	7	8

Answer: 45678
(2) 64,723 - 52,378
Solution:

	6	4	7	2	3
-	5	2	3	7	8
	1	2	3	4	5

Answer: 12345
In simple words: This is a standard subtraction of two five-digit numbers, performed column by column with borrowing from higher place values when a digit in the minuend is smaller than the corresponding digit in the subtrahend.

🎯 Exam Tip: For multi-digit subtraction, ensure correct alignment of numbers according to their place values to prevent calculation errors, especially when borrowing across multiple columns.