Addition with Regrouping: 8,042 + 5,096

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First addend
Second addend

What is 8,042 + 5,096?

Answer

8,042 + 5,096 =
13,138

The sum is longer than the addends: 2 carries — into the hundreds and the ten thousands; the last one makes a new digit

8,042 + 5,096 in a column. Carries are the small circled digits above the columns.
1carry1carry
8 0 4 2
+5096
13138

Column by column: 8,042 + 5,096

  • Ones: 2 + 6 = 8 — write 8.
  • Tens: 4 + 9 = 13 — write 3, carry 1.
  • Hundreds: 0 + 0 + 1 = 1 — write 1.
  • Thousands: 8 + 5 = 13 — write 3, carry 1.
  • Ten thousands: the carried 1 — write 1.

8,042 + 5,096 = 13,138

Second check: 13,138 − 8,042 = 5,096

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FAQ

What is 8,042 + 5,096?

8,042 + 5,096 = 13,138

How do you check that 8,042 + 5,096 = 13,138?

Subtract one addend from the sum: 13,138 − 5,096 = 8,042, and 13,138 − 8,042 = 5,096. Getting the other addend back means the sum is right.

How many carries are there in 8,042 + 5,096?

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 5,096 + 8,042 the same as 8,042 + 5,096?

Yes. Addition is commutative, so both give 13,138; the column looks the same with either number on top.