Soluzione - Long subtraction

134, 0349

134,0349

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Spiegazione passo passo

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

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths

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

Put zeros in the blank number places:

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths

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

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 (50) which becomes (49) and get (10).

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

Subtract the numbers in the ten thousandths column from the top number:
10-0-1-0=9

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

Subtract the numbers in the thousandths column from the top number:
9-3-2=4

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

Because the upper digit (4) in the hundredths column is too small to get a positive difference, borrow 1 from the digit (7) in the next number place which becomes (6) and get (14).

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

Subtract the numbers in the hundredths column from the top number:
14-4-7=3

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

Subtract the numbers in the tenths column from the top number:
6-5-1=0

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

Because the upper digit (1) in the ones 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 (11).

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
		2	11
					6	14
						4	9	10
	2	3	1	,	7	5	0	0
		8	4	,	5	4	3	1
-		1	3	,	1	7	2	0
				,	0	3	4	9

Subtract the numbers in the ones column from the top number:
11-4-3=4

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
		2	11
					6	14
						4	9	10
	2	3	1	,	7	5	0	0
		8	4	,	5	4	3	1
-		1	3	,	1	7	2	0
			4	,	0	3	4	9

Because the upper digit (2) in the tens column is too small to get a positive difference, borrow 1 from the digit (2) in the next number place which becomes (1) and get (12).

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
	1	12
		2	11
					6	14
						4	9	10
	2	3	1	,	7	5	0	0
		8	4	,	5	4	3	1
-		1	3	,	1	7	2	0
			4	,	0	3	4	9

Subtract the numbers in the tens column from the top number:
12-8-1=3

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
	1	12
		2	11
					6	14
						4	9	10
	2	3	1	,	7	5	0	0
		8	4	,	5	4	3	1
-		1	3	,	1	7	2	0
		3	4	,	0	3	4	9

Write 1 in the hundreds place.

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
	1	12
		2	11
					6	14
						4	9	10
	2	3	1	,	7	5	0	0
		8	4	,	5	4	3	1
-		1	3	,	1	7	2	0
	1	3	4	,	0	3	4	9

The solution is: 134,0349

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