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Skills Covered

  • Subtract three-digit numbers within 1,000
  • Trade a ten or a hundred with base-ten blocks
  • Trade in a place value table
  • Subtract in columns with regrouping
  • Subtract across a zero
  • Check by adding and find a mistake

How to Use This Pack

Five pages that take three-digit subtraction from blocks to the written method. Page 1 shows the first number in base-ten blocks: students trade one ten for 10 ones or one hundred for 10 tens (425 is 3 hundreds 12 tens 5 ones), write the trade in a small table and cross out what they take away; the answer key crosses out whole flats and rods, the loose ones, and the cubes of a traded rod or the columns of a traded flat. Page 2 uses a place value table: the number, the number after trading, the number taken away, and what is left. Page 3 is twelve column problems that trade a ten, a hundred or both. Page 4 is twelve problems across a zero (405 - 178, 300 - 126), where a hundred becomes 10 tens before a ten can become 10 ones. Page 5 subtracts and checks by adding, then shows two animals with different answers: one takes the smaller digit from the bigger (452 - 178 = 326), one trades across the zero but keeps the hundred (604 - 278 = 426). The keys write each traded place's new digits over the crossed-out ones. Each page starts with a worked example.

In the Classroom

Before page 4, build 405 with 4 flats and 5 cubes and ask a student to take away 8 ones. There are no rods to trade, so the class has to decide what to do with a flat first. Write each trade on the board as you make it (3 hundreds 10 tens 5 ones, then 3 hundreds 9 tens 15 ones). Page 5's check by adding is the habit to keep for every subtraction.

At Home

Practice with money: you have $4.05 and spend $1.78. Trade a dollar for 10 dimes, then a dime for 10 pennies, and count what is left. Ask your child to check by adding the answer to $1.78.

Tips for Success

  • Start with the ones. Not enough? Trade a ten for 10 ones
  • Not enough tens? Trade a hundred for 10 tens
  • No tens to trade? Trade a hundred first, then a ten
  • Never take the smaller digit from the bigger one by habit
  • Check: the answer plus the number taken away gives the first number

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 2.NBT.A.1a See ten tens grouped together as one unit called a hundred.
  • 2.NBT.A.1b Know that 100, 200 and so on up to 900 mean 1 to 9 hundreds with no tens or ones.
  • 2.NBT.B.5 Add and subtract to 100 fluently with place-value strategies, properties of addition, or the link between adding and subtracting.
  • 2.NBT.B.6 Find the sum of two, three or four two-digit numbers using place value and properties of addition.
  • 2.NBT.B.7 Add and subtract to 1,000 with models and place-value strategies, working hundreds, tens and ones separately and regrouping tens or hundreds as needed.
  • 2.NBT.B.9 Tell why an adding or subtracting method gives the right answer, reasoning from place value and number properties.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

3-Digit Subtraction with Regrouping

2nd Grade

A 5-page 2nd grade pack for subtracting three-digit numbers within 1,000. Trade a ten or a hundred in base-ten blocks and cross out what you take away, then use a place value table to trade and subtract. Subtract in columns, trading a ten, a hundred or both, and across a zero (405 - 178, 300 - 126). Last, check by adding and decide which animal is right: one takes the smaller digit from the bigger, one trades across a zero but keeps the hundred. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Trade and cross out with base-ten blocks, and trade in a place value table
  • Column subtraction trading a ten, a hundred or both, and across a zero
  • Check by adding, and "Who is right?" problems to explain your thinking
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