Soluzione - Long subtraction

19, 973877

19,973877

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Spiegazione passo passo

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

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

	2	1
-		1	,	0	2	6	1	2	3
			,

Put zeros in the blank number places:

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

	2	1	,	0	0	0	0	0	0
-		1	,	0	2	6	1	2	3
			,

2. Subtract the numbers using long subtraction method

Because the upper digit (0) in the millionths column is too small to get a positive difference, borrow 1 from the number to the left (1.00000) which becomes (0.99999) and get (10).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Write 1 in the tens place.

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

The solution is: 19,973877

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