Soluzione - Long subtraction

31.328

31.328

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Spiegazione passo passo

1. Rewrite the numbers from top to bottom, aligned by their place values

Place value	ten thousands	thousands	hundreds	tens	ones

	5	4	2	0	1
-	2	2	8	7	3

2. Subtract the numbers using long subtraction method

Because the upper digit (1) in the ones column is too small to get a positive difference, borrow 1 from the number to the left (20) which becomes (19) and get (11).

Place value	ten thousands	thousands	hundreds	tens	ones
			1	9	11
	5	4	2	0	1
-	2	2	8	7	3

Subtract the numbers in the ones column from the top number:
11-3=8

Place value	ten thousands	thousands	hundreds	tens	ones
			1	9	11
	5	4	2	0	1
-	2	2	8	7	3
					8

Subtract the numbers in the tens column from the top number:
9-7=2

Place value	ten thousands	thousands	hundreds	tens	ones
			1	9	11
	5	4	2	0	1
-	2	2	8	7	3
				2	8

Because the upper digit (1) in the hundreds column is too small to get a positive difference, borrow 1 from the digit (4) in the next number place which becomes (3) and get (11).

Place value	ten thousands	thousands	hundreds	tens	ones
		3	11
			1	9	11
	5	4	2	0	1
-	2	2	8	7	3
				2	8

Subtract the numbers in the hundreds column from the top number:
11-8=3

Place value	ten thousands	thousands	hundreds	tens	ones
		3	11
			1	9	11
	5	4	2	0	1
-	2	2	8	7	3
			3	2	8

Subtract the numbers in the thousands column from the top number:
3-2=1

Place value	ten thousands	thousands	hundreds	tens	ones
		3	11
			1	9	11
	5	4	2	0	1
-	2	2	8	7	3
		1	3	2	8

Subtract the numbers in the ten thousands column from the top number:
5-2=3

Place value	ten thousands	thousands	hundreds	tens	ones
		3	11
			1	9	11
	5	4	2	0	1
-	2	2	8	7	3
	3	1	3	2	8

The solution is: 31,328

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