Soluzione - Long subtraction

219489, 22

219489,22

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Spiegazione passo passo

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

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

	2	1	9	6	4	8
-				1	5	8	,	7	8
							,

Put zeros in the blank number places:

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

	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	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 (8.0) which becomes (7.9) and get (10).

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

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

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

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

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

Because the upper digit (7) in the ones column is too small to get a positive difference, borrow 1 from the digit (4) in the next number place which becomes (3) and get (17).

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
							,	2	2

Subtract the numbers in the ones column from the top number:
17-8=9

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
						9	,	2	2

Because the upper digit (3) in the tens column is too small to get a positive difference, borrow 1 from the digit (6) in the next number place which becomes (5) and get (13).

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				5	13
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
						9	,	2	2

Subtract the numbers in the tens column from the top number:
13-5=8

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				5	13
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
					8	9	,	2	2

Subtract the numbers in the hundreds column from the top number:
5-1=4

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				5	13
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
				4	8	9	,	2	2

Write 9 in the thousands place.

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				5	13
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
			9	4	8	9	,	2	2

Write 1 in the ten thousands place.

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				5	13
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
		1	9	4	8	9	,	2	2

Write 2 in the hundred thousands place.

Place value	hundred thousands	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths
				5	13
					3	17
						7		9	10
	2	1	9	6	4	8	,	0	0
-				1	5	8	,	7	8
	2	1	9	4	8	9	,	2	2

The solution is: 219489,22

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