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Add two 2-digit numbers with regrouping

Understanding this skill means interpreting each two-digit number as tens and ones, combining corresponding place values, and recognizing that ten or more ones can be composed as one additional ten. The learner connects place-value representations and written equations, explains why the regrouped ten is added to the tens, and maintains the value of the sum; the scope is limited to adding two two-digit whole numbers, including sums that may reach the hundreds, not larger or more generalized algorithms.

Detailed Explanation: Add two 2-digit numbers with regrouping

A two-digit number has tens and ones. Add the ones first, then the tens.

Example: Find (47+36)(47+36).

  1. Add the ones.
    (47)(47) has 77 ones, and (36)(36) has 66 ones:
7+6=13 7+6=13

Thirteen ones are the same as 11 ten and 33 ones. Write 33 in the ones place and regroup 11 ten.

  1. Add the tens.
    Add the tens, including the regrouped ten:
4+3+1=8 4+3+1=8
  1. Put the places together.
    There are 88 tens and 33 ones:
47+36=83 47+36=83

The regrouped ten is added to the tens because (10)(10) ones have the same value as 11 ten.

Learn by doing: Add two 2-digit numbers with regrouping

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Addition - Whole Number 2 digit + 2 digit, With Carry


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