Addition with Regrouping: 578 + 564

Addition with Regrouping Calculator
First addend
Second addend

What is 578 + 564?

Answer

578 + 564 =
1,142

The sum is longer than the addends: 3 carries — into the tens, the hundreds and the thousands; the last one makes a new digit

578 + 564 in a column. Carries are the small circled digits above the columns.
1carry1carry1carry
5 7 8
+564
1142

Column by column: 578 + 564

  • Ones: 8 + 4 = 12 — write 2, carry 1.
  • Tens: 7 + 6 + 1 = 14 — write 4, carry 1.
  • Hundreds: 5 + 5 + 1 = 11 — write 1, carry 1.
  • Thousands: the carried 1 — write 1.

578 + 564 = 1,142

Second check: 1,142 − 578 = 564

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FAQ

What is 578 + 564?

578 + 564 = 1,142

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

Subtract one addend from the sum: 1,142 − 564 = 578, and 1,142 − 578 = 564. Getting the other addend back means the sum is right.

How many carries are there in 578 + 564?

3 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 564 + 578 the same as 578 + 564?

Yes. Addition is commutative, so both give 1,142; the column looks the same with either number on top.

See Also