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Solution - Long subtraction

5196.79

5196.79

See steps

Step-by-step explanation

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

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

	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
						.

2. Subtract the numbers using long subtraction method

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

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

	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
						.			0

Because the upper digit (8) in the hundredths 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 (18).

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
						.			0

Subtract the numbers in the hundredths column from the top number:
18-9=9

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
						.		9	0

Because the upper digit (6) 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 (16).

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
						.		9	0

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

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
						.	7	9	0

Because the upper digit (5) in the ones column is too small to get a positive difference, borrow 1 from the digit (2) in the next number place which becomes (1) and get (15).

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
						.	7	9	0

Subtract the numbers in the ones column from the top number:
15-9=6

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
					6	.	7	9	0

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

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
			2	11
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
					6	.	7	9	0

Subtract the numbers in the tens column from the top number:
11-2=9

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
			2	11
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
				9	6	.	7	9	0

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

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
			2	11
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
			1	9	6	.	7	9	0

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

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
	0	14
			2	11
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
			1	9	6	.	7	9	0

Subtract the numbers in the thousands column from the top number:
14-9=5

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
	0	14
			2	11
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
		5	1	9	6	.	7	9	0

Write 0 in the ten thousands place.

Place value	ten thousands	thousands	hundreds	tens	ones	.	tenths	hundredths	thousandths
	0	14
			2	11
				1	15
					5		16
							6	18
	1	4	3	2	6	.	7	8	2
-		9	1	2	9	.	9	9	2
	0	5	1	9	6	.	7	9	0

The solution is: 5196.79

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Terms and topics

Long substraction