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Step-by-step practice: Maths · Level 3Chapter 4 · Adding within 1000
Step-by-step Maths Level 3 · Adding within 1000 · Lesson 4.2

Step-by-step Maths Level 3: Adding two 2-digit numbers with carrying

Part of the Step-by-step Maths Level 3 adding within 1000 chapter. Chapter overview · whole chapter on one page

4.2

Adding two 2-digit numbers with carrying

Level 3
Add two 2-digit numbers with carrying from the ones or the tens

Two 2-digit numbers can need carrying. The ones may make 10 or more, and the tens may then make 10 or more as well.

When the tens make 10 or more, the answer goes into the hundreds. That is a sum of 100 or more.

4738+
Column method: 7 + 8 = 15, then 4 + 3 + 1 = 8. The answer is 85.

Key ideas

  • Add the ones, then the tens.
  • Carry a ten when the ones make 10 or more.
  • Carry a hundred when the tens make 10 or more.
Worked example 4.2.1
Work out 47 + 38.

Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.

  1. Write the numbers in columns. Keep the ones under the ones and the tens under the tens.
    47 over 38
  2. Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.
    7 + 8 = 15, write 5 and carry 1
  3. Add the tens. Add the carried ten with the tens.
    4 + 3 + 1 carried = 8
  4. Write the answer. Read the columns from left to right.
    85

Check. Check: 85 - 38 = 47.

Watch out. When the ones make 10 or more, carry a ten to the tens column. Do not forget it.

Worked example 4.2.2
Work out 65 + 58.

Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.

  1. Write the numbers in columns. Keep the ones under the ones and the tens under the tens.
    65 over 58
  2. Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.
    5 + 8 = 13, write 3 and carry 1
  3. Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.
    6 + 5 + 1 carried = 12
  4. Add the hundreds. Add any carried hundred too.
    0 + 0 + 1 carried = 1
  5. Write the answer. Read the columns from left to right.
    123

Check. Check: 123 - 58 = 65.

Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.

Worked example 4.2.3
Work out 76 + 49.

Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.

  1. Write the numbers in columns. Keep the ones under the ones and the tens under the tens.
    76 over 49
  2. Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.
    6 + 9 = 15, write 5 and carry 1
  3. Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.
    7 + 4 + 1 carried = 12
  4. Add the hundreds. Add any carried hundred too.
    0 + 0 + 1 carried = 1
  5. Write the answer. Read the columns from left to right.
    125

Check. Check: 125 - 49 = 76.

Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.

Watch out

Watch out. Add the carried ten to the tens before you write them down. 76 + 49 is 125, not 115.

Exam tip

Grown-up tip. Ask: “How many ones? Is it ten or more? How many tens, with the one we carried?”

Exercise 4B  Practice: two 2-digit numbers with carrying

Non-calculator
1
FWork out 72 + 30.
7230+
2
FWork out 92 + 57.
9257+
3
FWork out 44 + 70.
4470+
4
FWork out 79 + 43.
7943+
5
FWork out 82 + 90.
8290+
6
FWork out 73 + 70.
7370+
7
FWork out 97 + 65.
9765+
8
FWork out 83 + 87.
8387+
9
FWork out 60 + 77.
6077+
10
FWork out 48 + 14.
4814+
11
FWork out 89 + 83.
8983+
12
FWork out 44 + 91.
4491+
13
FWork out 88 + 48.
8848+
14
FWork out 80 + 94.
8094+
15
FWork out 57 + 75.
5775+
16
FWork out 87 + 51.
8751+

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