Skill: Add a 2-digit number and a 1-digit number

Explanation and Free Practice Resources

This skill involves interpreting a two-digit number as tens and ones and combining it with a one-digit addend, including cases in which the ones require composing a new ten (for example, 47 + 6 = 53). Reasoning may be represented with place-value drawings, equations, or an open number line, emphasizing that the added one-digit quantity changes ones and, when necessary, the tens; it does not include adding two multi-digit numbers or extending to more general algorithms.

Detailed Explanation: Add a 2-digit number and a 1-digit number

To add a 2-digit number and a 1-digit number, start with the ones. If the ones make 10 or more, regroup 10 ones as 1 new ten.

Example: Find (47+6)(47+6).

  1. Break apart (47)(47):
47=4 tens+7 ones 47=4\text{ tens}+7\text{ ones}
  1. Add the 6 ones:
7+6=13 7+6=13

That is 11 ten and 33 ones.

  1. Combine the tens:
    The original 44 tens plus the new 11 ten makes 55 tens.

  2. Put the tens and ones together:

5 tens+3 ones=53 5\text{ tens}+3\text{ ones}=53

So,

47+6=53\boxed{47+6=53}

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Addition - Whole Number 2 digit + 1 digit - Column, With Carry


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