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Use counting back to subtract

Subtraction within 20 can be understood as removing a quantity from a starting amount: begin at the minuend and count backward one number for each unit in the subtrahend, with the endpoint representing the difference. A number line makes the starting point, direction, and number of steps visible and helps prevent counting the starting number as a step; this understanding does not extend here to larger numbers, multi-digit subtraction, or formal algorithms.

Detailed Explanation: Use counting back to subtract

Subtraction means taking away. To subtract by counting back:

  1. Start at the first number.
  2. Count backward one number for each number you subtract.
  3. The number where you stop is the answer.

Example: Find 13−413-4.

Start at 1313 on a number line. Count back 44 steps:

13→12→11→10→913 \rightarrow 12 \rightarrow 11 \rightarrow 10 \rightarrow 9

The four steps are:

  • Step 1: 1313 to 1212
  • Step 2: 1212 to 1111
  • Step 3: 1111 to 1010
  • Step 4: 1010 to 99

You stop at 99, so:

13−4=913-4=9

Remember: Do not count 1313 as the first step. Start at 1313, then move backward.

Learn by doing: Use counting back to subtract

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Number Line - Subtraction Positive Integers, Movement Image to Equation


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