Soluzione - Long subtraction

237, 411

237,411

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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

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

Put zeros in the blank number places:

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths

	2	5	7	,	2	0	0
-		1	9	,	7	8	9
				,

2. Subtract the numbers using long subtraction method

Because the upper digit (0) in the thousandths column is too small to get a positive difference, borrow 1 from the number to the left (20) which becomes (19) and get (10).

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

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

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

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

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

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

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

Subtract the numbers in the tenths column from the top number:
11-7=4

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

Because the upper digit (6) 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 (16).

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths
		4	16
			6		11
					1	9	10
	2	5	7	,	2	0	0
-		1	9	,	7	8	9
				,	4	1	1

Subtract the numbers in the ones column from the top number:
16-9=7

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths
		4	16
			6		11
					1	9	10
	2	5	7	,	2	0	0
-		1	9	,	7	8	9
			7	,	4	1	1

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

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths
		4	16
			6		11
					1	9	10
	2	5	7	,	2	0	0
-		1	9	,	7	8	9
		3	7	,	4	1	1

Write 2 in the hundreds place.

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths
		4	16
			6		11
					1	9	10
	2	5	7	,	2	0	0
-		1	9	,	7	8	9
	2	3	7	,	4	1	1

The solution is: 237,411

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