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Soluzione - Long subtraction

715, 9173

715,9173

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Spiegazione passo passo

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

Place value	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths

	1	0	5	5	,	0	4
-		3	3	9	,	1	2	2	7
					,

Put zeros in the blank number places:

Place value	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths

	1	0	5	5	,	0	4	0	0
-		3	3	9	,	1	2	2	7
					,

2. Subtract the numbers using long subtraction method

Because the upper digit (0) in the ten thousandths column is too small to get a positive difference, borrow 1 from the number to the left (40) which becomes (39) and get (10).

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

Subtract the numbers in the ten thousandths column from the top number:
10-0-7=3

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

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

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

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

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

Because the upper digit (0) in the tenths 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 (10).

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

Subtract the numbers in the tenths column from the top number:
10-1=9

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

Because the upper digit (4) 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 (14).

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

Subtract the numbers in the ones column from the top number:
14-9=5

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

Subtract the numbers in the tens column from the top number:
4-3=1

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

Because the upper digit (0) in the hundreds column is too small to get a positive difference, borrow 1 from the digit (1) in the next number place which becomes (0) and get (10).

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

Subtract the numbers in the hundreds column from the top number:
10-3=7

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

Write 0 in the thousands place.

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

The solution is: 715,9173

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