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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 4.3

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

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

4.3

Adding 3-digit numbers with carrying

Level 3
Add 3-digit numbers with carrying from the tens to the hundreds, Set sums out in columns with hundreds, tens and ones lined up

Line up the hundreds, tens and ones in columns. Then add the ones, the tens and the hundreds in that order.

Carry a ten from one column to the next, and carry a hundred from the tens to the hundreds when needed.

Key ideas

  • Line up the columns.
  • Add the ones, then the tens, then the hundreds.
  • Carry from each column to the next.
Worked example 4.3.1
Work out 386 + 275.

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.
    386 over 275
  2. Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.
    6 + 5 = 11, write 1 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.
    8 + 7 + 1 carried = 16
  4. Add the hundreds. Add any carried hundred too.
    3 + 2 + 1 carried = 6
  5. Write the answer. Read the columns from left to right.
    661

Check. Check: 661 - 275 = 386.

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

Worked example 4.3.2
Work out 452 + 89.

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.
    452 over 89
  2. Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.
    2 + 9 = 11, write 1 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.
    5 + 8 + 1 carried = 14
  4. Add the hundreds. Add any carried hundred too.
    4 + 0 + 1 carried = 5
  5. Write the answer. Read the columns from left to right.
    541

Check. Check: 541 - 89 = 452.

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

Worked example 4.3.3
Work out 608 + 97.

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.
    608 over 97
  2. Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.
    8 + 7 = 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.
    0 + 9 + 1 carried = 10
  4. Add the hundreds. Add any carried hundred too.
    6 + 0 + 1 carried = 7
  5. Write the answer. Read the columns from left to right.
    705

Check. Check: 705 - 97 = 608.

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

Watch out

Watch out. Keep the digits in their columns. 608 + 97 has a 9 in the tens, not the hundreds, so it is 705.

Exam tip

Grown-up tip. Draw the columns on squared paper, with one digit in each square. Ask the child to say the carried number out loud.

Exercise 4C  Practice: 3-digit numbers with carrying

Non-calculator
1
FWork out 707 + 128.
707128+
2
FWork out 780 + 76.
78076+
3
FWork out 338 + 94.
33894+
4
FWork out 781 + 62.
78162+
5
FWork out 304 + 39.
30439+
6
FWork out 365 + 386.
365386+
7
FWork out 607 + 99.
60799+
8
FWork out 247 + 564.
247564+
9
FWork out 773 + 192.
773192+
10
FWork out 217 + 74.
21774+
11
FWork out 842 + 78.
84278+
12
FWork out 206 + 56.
20656+
13
FWork out 638 + 189.
638189+
14
FWork out 627 + 97.
62797+
15
FWork out 537 + 38.
53738+
16
FWork out 794 + 14.
79414+

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