Subtraction with Regrouping: 1,037 − 354

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,037 − 354?

Answer

1,037 − 354 =
683

With regrouping across a zero: 2 borrows — there are no hundreds to borrow from, so 1 thousand becomes 10 hundreds, and 1 hundred goes to the tens

1,037 − 354 in a column. Above the columns: the values after borrowing — a crossed-out digit is replaced by the number above it; +10 marks a column that received a borrowed ten.
09+10
1(was 1, now 0)0(was 0, now 9)3 (was 3, now 13)7
−354
683

Column by column: 1,037 − 354

  • Ones: 7 − 4 = 3 — write 3.
  • Tens: 3 is less than 5 — borrow 1 thousand across the zero: thousands 1 → 0, hundreds 0 → 9; 13 − 5 = 8 — write 8.
  • Hundreds: after borrowing, 9; 9 − 3 = 6 — write 6.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,037 − 354 = 683

Second check: 1,037 − 683 = 354

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Column subtractions of 354

ExampleDifference
708 − 354354
730 − 354376
743 − 354389
756 − 354402
781 − 354427
807 − 354453
822 − 354468
839 − 354485
873 − 354519
890 − 354536
918 − 354564
932 − 354578
956 − 354602
1,001 − 354647
1,037 − 354683

FAQ

What is 1,037 − 354?

1,037 − 354 = 683

How do you check that 1,037 − 354 = 683?

Add the difference and the subtrahend: 683 + 354 = 1,037. Getting the minuend back means the difference is right.

How many times do you borrow in 1,037 − 354?

2 borrows: each time the top digit was smaller than the one below it, 1 was borrowed from the column on the left.

Why does 0 become 9 when borrowing in 1,037 − 354?

The zero has nothing to lend, so it first borrows 1 from its left neighbour and becomes 10; then it lends 1 to the column on its right and keeps 9.

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