Solution - Long subtraction

40.6625

40.6625

See steps

Step-by-step explanation

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

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths

	1	0	8	.	3	5
-		6	7	.	6	8	7	5
				.

Put zeros in the blank number places:

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths

	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
				.

2. Subtract the numbers using long subtraction method

Because the upper digit (0) in the ten thousandths column is too small to get a positive difference, borrow 1 from the number to the left (50) which becomes (49) and get (10).

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

Subtract the numbers in the ten thousandths column from the top number:
10-0-5=5

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

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

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

Because the upper digit (4) in the hundredths 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 (14).

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
				.			2	5

Subtract the numbers in the hundredths column from the top number:
14-8=6

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
				.		6	2	5

Because the upper digit (2) in the tenths 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	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
			7		12
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
				.		6	2	5

Subtract the numbers in the tenths column from the top number:
12-6=6

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
			7		12
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
				.	6	6	2	5

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

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
			7		12
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
			0	.	6	6	2	5

Because the upper digit (0) in the tens column is too small to get a positive difference, borrow 1 from the digit (1) in the next number place which becomes (0) and get (10).

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
	0	10
			7		12
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
			0	.	6	6	2	5

Subtract the numbers in the tens column from the top number:
10-6=4

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
	0	10
			7		12
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
		4	0	.	6	6	2	5

Write 0 in the hundreds place.

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths
	0	10
			7		12
					2	14
						4	9	10
	1	0	8	.	3	5	0	0
-		6	7	.	6	8	7	5
	0	4	0	.	6	6	2	5

The solution is: 40.6625

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Terms and topics

Long substraction