Subtraction · Grades 2–4

How to Subtract with Regrouping

Regrouping lets us rename a number using equal place-value amounts. When a column has too few to subtract, trade from the next place.

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What children need to know first

  1. A ten is equal to ten ones; one hundred is equal to ten tens.
  2. Digits in the same column represent the same place value.

Step-by-step explanation

  1. Write the numbers so ones, tens, and hundreds line up.
  2. Start in the ones column. If the top digit is too small, regroup one ten as ten ones.
  3. Subtract the ones, then move left to the tens and hundreds.
  4. Check by adding the difference and the number subtracted.

Worked examples

42 − 17

Trade one ten: 42 becomes 3 tens and 12 ones. Ones: 12 − 7 = 5. Tens: 3 − 1 = 2.

Answer: 42 − 17 = 25 25 + 17 = 42, which checks the subtraction.

63 − 28

Trade one ten: 63 becomes 5 tens and 13 ones. Ones: 13 − 8 = 5. Tens: 5 − 2 = 3.

Answer: 63 − 28 = 35 35 + 28 = 63, so the difference is correct.

036912four jumps of 3
Regroup one ten as ten ones; the total value stays the same.

Common mistakes and how to fix them

  1. Changing the ones but forgetting to reduce the tens. Show the trade with base-ten blocks or a crossed-out digit.
  2. Subtracting the smaller digit from the larger in each column regardless of position. Regroup when needed instead.

Parent teaching tips

  1. Build the minuend with tens rods and ones cubes so the trade is visible.
  2. Ask the child to name the value before and after regrouping; it remains 42.

Independent practice

  1. Solve 51 − 26.
  2. Solve 74 − 38.

Practice answers

  1. 25
  2. 36

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Open the matching Grades 2–4 activity for Subtraction. You can print its worksheet with questions only or an answer key.

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