Soluzione - Long subtraction

0, 0371038

0,0371038

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Spiegazione passo passo

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

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths

	1
	0	,	6	6	6	6
-	0	,	2	9	6	2	9	6	2
		,

Put zeros in the blank number places:

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths

	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,

2. Subtract the numbers using long subtraction method

Because the upper digit (0) in the ten millionths column is too small to get a positive difference, borrow 1 from the number to the left (1.000000) which becomes (0.999999) and get (10).

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,

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

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,							8

Subtract the numbers in the millionths column from the top number:
9-0-6=3

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,						3	8

Subtract the numbers in the hundred thousandths column from the top number:
9-0-9=0

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,					0	3	8

Subtract the numbers in the ten thousandths column from the top number:
9-6-2=1

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,				1	0	3	8

Because the upper digit (9) in the thousandths column is too small to get a positive difference, borrow 1 from the digit (9) in the next number place which becomes (8) and get (19).

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
				8	19
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,				1	0	3	8

Subtract the numbers in the thousandths column from the top number:
19-6-6=7

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
				8	19
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,			7	1	0	3	8

Because the upper digit (8) in the hundredths column is too small to get a positive difference, borrow 1 from the digit (9) in the next number place which becomes (8) and get (18).

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
			8	18
				8	19
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,			7	1	0	3	8

Subtract the numbers in the hundredths column from the top number:
18-6-9=3

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
			8	18
				8	19
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,		3	7	1	0	3	8

Subtract the numbers in the tenths column from the top number:
8-6-2=0

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
			8	18
				8	19
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
		,	0	3	7	1	0	3	8

Subtract the numbers in the ones column from the top number:
0-0-0=0

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths
			8	18
				8	19
	0		9	9	9	9	9	9	10
	1	,	0	0	0	0	0	0	0
	0	,	6	6	6	6	0	0	0
-	0	,	2	9	6	2	9	6	2
	0	,	0	3	7	1	0	3	8

The solution is: 0,0371038

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