Solution - Long subtraction

11.822

11.822

See steps

Step-by-step explanation

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

Place value	tens	ones	.	tenths	hundredths	thousandths

	2	6	.	7	8	2
-	1	4	.	9	6
			.

Put zeros in the blank number places:

Place value	tens	ones	.	tenths	hundredths	thousandths

	2	6	.	7	8	2
-	1	4	.	9	6	0
			.

2. Subtract the numbers using long subtraction method

Subtract the numbers in the thousandths column from the top number:
2-0=2

Place value	tens	ones	.	tenths	hundredths	thousandths

	2	6	.	7	8	2
-	1	4	.	9	6	0
			.			2

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

Place value	tens	ones	.	tenths	hundredths	thousandths

	2	6	.	7	8	2
-	1	4	.	9	6	0
			.		2	2

Because the upper digit (7) in the tenths 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 (17).

Place value	tens	ones	.	tenths	hundredths	thousandths
		5		17
	2	6	.	7	8	2
-	1	4	.	9	6	0
			.		2	2

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

Place value	tens	ones	.	tenths	hundredths	thousandths
		5		17
	2	6	.	7	8	2
-	1	4	.	9	6	0
			.	8	2	2

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

Place value	tens	ones	.	tenths	hundredths	thousandths
		5		17
	2	6	.	7	8	2
-	1	4	.	9	6	0
		1	.	8	2	2

Subtract the numbers in the tens column from the top number:
2-1=1

Place value	tens	ones	.	tenths	hundredths	thousandths
		5		17
	2	6	.	7	8	2
-	1	4	.	9	6	0
	1	1	.	8	2	2

The solution is: 11.822

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Terms and topics

Long substraction