Addition with Regrouping: 123,456 + 12,345

Addition with Regrouping Calculator
First addend
Second addend

What is 123,456 + 12,345?

Answer

123,456 + 12,345 =
135,801

With regrouping: 2 carries — into the tens and the hundreds

123,456 + 12,345 in a column. Carries are the small circled digits above the columns.
1carry1carry
1 2 3 4 5 6
+12345
135801

Column by column: 123,456 + 12,345

  • Ones: 6 + 5 = 11 — write 1, carry 1.
  • Tens: 5 + 4 + 1 = 10 — write 0, carry 1.
  • Hundreds: 4 + 3 + 1 = 8 — write 8.
  • Thousands: 3 + 2 = 5 — write 5.
  • Ten thousands: 2 + 1 = 3 — write 3.
  • Hundred thousands: nothing to add — write 1.

123,456 + 12,345 = 135,801

Second check: 135,801 − 123,456 = 12,345

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Column additions with 12,345

ExampleSum
123,451 + 12,345135,796
123,452 + 12,345135,797
123,453 + 12,345135,798
123,454 + 12,345135,799
123,455 + 12,345135,800
123,456 + 12,345135,801
123,457 + 12,345135,802
123,458 + 12,345135,803
123,459 + 12,345135,804
123,460 + 12,345135,805
123,461 + 12,345135,806

FAQ

What is 123,456 + 12,345?

123,456 + 12,345 = 135,801

How do you check that 123,456 + 12,345 = 135,801?

Subtract one addend from the sum: 135,801 − 12,345 = 123,456, and 135,801 − 123,456 = 12,345. Getting the other addend back means the sum is right.

How many carries are there in 123,456 + 12,345?

2 carries: every time a column added up to 10 or more, its ones digit was written and 1 was carried to the next column on the left.

Is 12,345 + 123,456 the same as 123,456 + 12,345?

Yes. Addition is commutative, so both give 135,801; the column looks the same with either number on top.

See Also