Subtraction with Regrouping: 1,142 − 564

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,142 − 564?

Answer

1,142 − 564 =
578

With regrouping: 3 borrows — from the tens, the hundreds and the thousands

1,142 − 564 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.
01013+10
1(was 1, now 0)1(was 1, now 10)4(was 4, now 13)2 (was 2, now 12)
−564
578

Column by column: 1,142 − 564

  • Ones: 2 is less than 4 — borrow 1 ten: tens 4 → 3; 12 − 4 = 8 — write 8.
  • Tens: after borrowing, 3; 3 is less than 6 — borrow 1 hundred: hundreds 1 → 0; 13 − 6 = 7 — write 7.
  • Hundreds: after borrowing, 0; 0 is less than 5 — borrow 1 thousand: thousands 1 → 0; 10 − 5 = 5 — write 5.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,142 − 564 = 578

Second check: 1,142 − 578 = 564

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Column subtractions of 564

ExampleDifference
1,137 − 564573
1,138 − 564574
1,139 − 564575
1,140 − 564576
1,141 − 564577
1,142 − 564578
1,143 − 564579
1,144 − 564580
1,145 − 564581
1,146 − 564582
1,147 − 564583

FAQ

What is 1,142 − 564?

1,142 − 564 = 578

How do you check that 1,142 − 564 = 578?

Add the difference and the subtrahend: 578 + 564 = 1,142. Getting the minuend back means the difference is right.

How many times do you borrow in 1,142 − 564?

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

See Also