Soluzione - Long subtraction

82727, 12

82727,12

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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	.	tenths	hundredths

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

Put zeros in the blank number places:

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths

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

2. Subtract the numbers using long subtraction method

Because the upper digit (0) in the hundredths column is too small to get a positive difference, borrow 1 from the number to the left (6.0) which becomes (5.9) and get (10).

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
						,

Subtract the numbers in the hundredths column from the top number:
10-0-8=2

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
						,		2

Subtract the numbers in the tenths column from the top number:
9-8=1

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
						,	1	2

Because the upper digit (5) in the ones column is too small to get a positive difference, borrow 1 from the digit (5) in the next number place which becomes (4) and get (15).

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				4	15
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
						,	1	2

Subtract the numbers in the ones column from the top number:
15-8=7

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				4	15
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
					7	,	1	2

Subtract the numbers in the tens column from the top number:
4-2=2

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				4	15
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
				2	7	,	1	2

Because the upper digit (4) in the hundreds column is too small to get a positive difference, borrow 1 from the digit (3) in the next number place which becomes (2) and get (14).

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
		2	14
				4	15
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
				2	7	,	1	2

Subtract the numbers in the hundreds column from the top number:
14-7=7

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
		2	14
				4	15
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
			7	2	7	,	1	2

Write 2 in the thousands place.

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
		2	14
				4	15
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
		2	7	2	7	,	1	2

Write 8 in the ten thousands place.

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
		2	14
				4	15
					5		9	10
	8	3	4	5	6	,	0	0
-			7	2	8	,	8	8
	8	2	7	2	7	,	1	2

The solution is: 82727,12

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