Subtraction with Regrouping: 30,169 − 6,713

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 30,169 − 6,713?

Answer

30,169 − 6,713 =
23,456

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

30,169 − 6,713 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.
29+10
3(was 3, now 2)0(was 0, now 9)1 (was 1, now 11)6 9
−6713
23456

Column by column: 30,169 − 6,713

  • Ones: 9 − 3 = 6 — write 6.
  • Tens: 6 − 1 = 5 — write 5.
  • Hundreds: 1 is less than 7 — borrow 1 ten thousand across the zero: ten thousands 3 → 2, thousands 0 → 9; 11 − 7 = 4 — write 4.
  • Thousands: after borrowing, 9; 9 − 6 = 3 — write 3.
  • Ten thousands: after borrowing, 2; nothing to subtract — write 2.

30,169 − 6,713 = 23,456

Second check: 30,169 − 23,456 = 6,713

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Column subtractions of 6,713

ExampleDifference
30,164 − 6,71323,451
30,165 − 6,71323,452
30,166 − 6,71323,453
30,167 − 6,71323,454
30,168 − 6,71323,455
30,169 − 6,71323,456
30,170 − 6,71323,457
30,171 − 6,71323,458
30,172 − 6,71323,459
30,173 − 6,71323,460
30,174 − 6,71323,461

FAQ

What is 30,169 − 6,713?

30,169 − 6,713 = 23,456

How do you check that 30,169 − 6,713 = 23,456?

Add the difference and the subtrahend: 23,456 + 6,713 = 30,169. Getting the minuend back means the difference is right.

How many times do you borrow in 30,169 − 6,713?

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 30,169 − 6,713?

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.

See Also