Solution - Long subtraction

2.058

2.058

See steps

Step-by-step explanation

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

Place value	ones	.	tenths	hundredths	thousandths

	2	.	8	3
-	0	.	7	7	2
		.

Put zeros in the blank number places:

Place value	ones	.	tenths	hundredths	thousandths

	2	.	8	3	0
-	0	.	7	7	2
		.

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 digit (3) in the next number place which becomes (2) and get (10).

Place value	ones	.	tenths	hundredths	thousandths
				2	10
	2	.	8	3	0
-	0	.	7	7	2
		.

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

Place value	ones	.	tenths	hundredths	thousandths
				2	10
	2	.	8	3	0
-	0	.	7	7	2
		.			8

Because the upper digit (2) in the hundredths column is too small to get a positive difference, borrow 1 from the digit (8) in the next number place which becomes (7) and get (12).

Place value	ones	.	tenths	hundredths	thousandths
			7	12
				2	10
	2	.	8	3	0
-	0	.	7	7	2
		.			8

Subtract the numbers in the hundredths column from the top number:
12-7=5

Place value	ones	.	tenths	hundredths	thousandths
			7	12
				2	10
	2	.	8	3	0
-	0	.	7	7	2
		.		5	8

Subtract the numbers in the tenths column from the top number:
7-7=0

Place value	ones	.	tenths	hundredths	thousandths
			7	12
				2	10
	2	.	8	3	0
-	0	.	7	7	2
		.	0	5	8

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

Place value	ones	.	tenths	hundredths	thousandths
			7	12
				2	10
	2	.	8	3	0
-	0	.	7	7	2
	2	.	0	5	8

The solution is: 2.058

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Terms and topics

Long substraction