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Subtraction within 1000: Mental and Written Methods

Mathematics Grade 3 Difficulty 1/5

Beginning of the lesson

Understanding Subtraction within 1000

What You Already Know: You can subtract two-digit numbers and understand place value with hundreds, tens, and ones!

Part 1: Mental Subtraction with Round Numbers

When we subtract round numbers (like 100, 200, or 50), we can do it in our heads!

Subtracting Hundreds

When you subtract 100, 200, or 300, just subtract from the hundreds place:

  • 567 - 100 = 467 (5 hundreds minus 1 hundred = 4 hundreds)
  • 834 - 200 = 634 (8 hundreds minus 2 hundreds = 6 hundreds)
  • 750 - 300 = 450 (7 hundreds minus 3 hundreds = 4 hundreds)
Subtracting Tens

When you subtract 10, 20, 30, etc., just subtract from the tens place:

  • 456 - 30 = 426 (5 tens minus 3 tens = 2 tens)
  • 689 - 50 = 639 (8 tens minus 5 tens = 3 tens)
Subtracting Ones

When you subtract small numbers, just subtract from the ones place:

  • 478 - 5 = 473 (8 ones minus 5 ones = 3 ones)
  • 893 - 2 = 891 (3 ones minus 2 ones = 1 one)
567 - 100Hundreds: 5 - 1 = 4Tens: 6 stays 6Ones: 7 stays 7= 467456 - 30Hundreds: 4 stays 4Tens: 5 - 3 = 2Ones: 6 stays 6= 426478 - 5Hundreds: 4 stays 4Tens: 7 stays 7Ones: 8 - 5 = 3= 473

Part 2: Written Subtraction WITHOUT Regrouping

What does "without regrouping" mean? It means each digit on top is bigger than or equal to the digit below it. We can subtract each place directly!

Example: 789 - 456
    789
  - 456
  -------
    333

Step by step:

  1. Ones: 9 - 6 = 3
  2. Tens: 8 - 5 = 3
  3. Hundreds: 7 - 4 = 3
Place Value ChartHundredsTensOnes789333-=

Part 3: Written Subtraction WITH Regrouping (Borrowing)

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 15
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers