Addition with Regrouping: 9,977 + 23

Addition with Regrouping Calculator
First addend
Second addend

What is 9,977 + 23?

Answer

9,977 + 23 =
10,000

The sum is longer than the addends: 4 carries — into every column from the tens to the ten thousands; the last one makes a new digit

9,977 + 23 in a column. Carries are the small circled digits above the columns.
1carry1carry1carry1carry
9 9 7 7
+23
10000

Column by column: 9,977 + 23

  • Ones: 7 + 3 = 10 — write 0, carry 1.
  • Tens: 7 + 2 + 1 = 10 — write 0, carry 1.
  • Hundreds: 9 + 1 = 10 — write 0, carry 1.
  • Thousands: 9 + 1 = 10 — write 0, carry 1.
  • Ten thousands: the carried 1 — write 1.

9,977 + 23 = 10,000

Second check: 10,000 − 9,977 = 23

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FAQ

What is 9,977 + 23?

9,977 + 23 = 10,000

How do you check that 9,977 + 23 = 10,000?

Subtract one addend from the sum: 10,000 − 23 = 9,977, and 10,000 − 9,977 = 23. Getting the other addend back means the sum is right.

How many carries are there in 9,977 + 23?

4 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 23 + 9,977 the same as 9,977 + 23?

Yes. Addition is commutative, so both give 10,000; the column looks the same with either number on top.