Grade 3 · Number & Operations in Base Ten · MAT-03-NBT-004
Subtract Within 1000 Fluently
Represent subtract within 1000 fluently with words, symbols, diagrams, or models appropriate to Grade 3.
Learning objectives
What you should be able to do
- Represent subtract within 1000 fluently with words, symbols, diagrams, or models appropriate to Grade 3.
- Solve problems involving subtract within 1000 fluently accurately and explain why the method works.
- Check results for reasonableness using a second representation, inverse relationship, benchmark, or property when appropriate.
Prerequisite check
Make sure the foundation is ready.
Checks conceptual readiness before new Grade 3 reasoning.
Checks whether prior skills are available for use, not only recalled by name.
Learn
Build the idea from meaning, not memorization.
Meaning of Subtract Within 1000 Fluently
Three-digit subtraction finds a difference while respecting hundreds, tens, and ones.
A reliable reasoning strategy
Subtract by place value and rename one larger unit when a place does not contain enough to subtract.
Representations that should agree
Addition can verify subtraction because the difference plus the subtrahend rebuilds the starting amount. A correct model, equation, verbal explanation, or diagram should preserve the same quantities and relationships.
How to check the result
Check whether the answer fits the quantities, units, and structure of the problem. Use a second representation or inverse relationship when available, and explain what would make an answer unreasonable.
Interactive math lab
Change it. See what stays true.
Base-Ten Lab
Change hundreds, tens, and ones and watch the total rebuild from place value.
- build a model
- change one quantity
- predict before calculating
- explain why the result changes
Worked examples
Twenty different ways to see the concept work.
Subtract 441 - 73.
441 - 73 = 368Subtract by place value and regroup when a place needs more units.
Subtract 482 - 96.
482 - 96 = 386Subtract by place value and regroup when a place needs more units.
Subtract 523 - 119.
523 - 119 = 404Subtract by place value and regroup when a place needs more units.
Subtract 564 - 142.
564 - 142 = 422Subtract by place value and regroup when a place needs more units.
Subtract 605 - 165.
605 - 165 = 440Subtract by place value and regroup when a place needs more units.
Subtract 646 - 188.
646 - 188 = 458Subtract by place value and regroup when a place needs more units.
Subtract 687 - 211.
687 - 211 = 476Subtract by place value and regroup when a place needs more units.
Subtract 728 - 234.
728 - 234 = 494Subtract by place value and regroup when a place needs more units.
Subtract 769 - 257.
769 - 257 = 512Subtract by place value and regroup when a place needs more units.
Subtract 810 - 280.
810 - 280 = 530Subtract by place value and regroup when a place needs more units.
Subtract 851 - 303.
851 - 303 = 548Subtract by place value and regroup when a place needs more units.
Subtract 892 - 326.
892 - 326 = 566Subtract by place value and regroup when a place needs more units.
Subtract 933 - 349.
933 - 349 = 584Subtract by place value and regroup when a place needs more units.
Subtract 424 - 372.
424 - 372 = 52Subtract by place value and regroup when a place needs more units.
Subtract 465 - 395.
465 - 395 = 70Subtract by place value and regroup when a place needs more units.
Subtract 506 - 418.
506 - 418 = 88Subtract by place value and regroup when a place needs more units.
Subtract 547 - 441.
547 - 441 = 106Subtract by place value and regroup when a place needs more units.
Subtract 588 - 464.
588 - 464 = 124Subtract by place value and regroup when a place needs more units.
Subtract 629 - 487.
629 - 487 = 142Subtract by place value and regroup when a place needs more units.
Subtract 670 - 510.
670 - 510 = 160Subtract by place value and regroup when a place needs more units.
Practice
Guided practice with hints
01Subtract 571 - 272.
Hint: Subtract by place value and rename one larger unit when a place does not contain enough to subtract.
Answer: 299
02Subtract 612 - 254.
Hint: Subtract by place value and rename one larger unit when a place does not contain enough to subtract.
Answer: 358
03Subtract 653 - 236.
Hint: Subtract by place value and rename one larger unit when a place does not contain enough to subtract.
Answer: 417
04Subtract 694 - 218.
Hint: Subtract by place value and rename one larger unit when a place does not contain enough to subtract.
Answer: 476
05Subtract 735 - 200.
Hint: Subtract by place value and rename one larger unit when a place does not contain enough to subtract.
Answer: 535
06Subtract 776 - 182.
Hint: Subtract by place value and rename one larger unit when a place does not contain enough to subtract.
Answer: 594
Practice
Independent practice
01Subtract 841 - 462.
Answer: 379
02Subtract 882 - 444.
Answer: 438
03Subtract 923 - 426.
Answer: 497
04Subtract 414 - 290.
Answer: 124
05Subtract 455 - 190.
Answer: 265
06Subtract 496 - 90.
Answer: 406
07Subtract 537 - 447.
Answer: 90
08Subtract 578 - 388.
Answer: 190
Common mistakes
Learn to catch the error, not just the answer.
Record each regrouping as an equal-value rename, such as one hundred becoming ten tens.
Reconnect the answer to subtract within 1000 fluently and verify that the model, calculation, and label describe the same quantity.
Applications & challenge
Use the idea beyond a single exercise.
Applications
- Find remaining quantities, distance differences, and changes.
- Use subtract within 1000 fluently to interpret or solve a Grade 3 situation with quantities, diagrams, measurements, or data.
Challenge problems
Subtract 561 - 240.
321
Subtract 602 - 140.
462
Subtract 643 - 603.
40
Subtract 684 - 544.
140
Flashcards
Retrieve it from memory.
Flashcards
Card 1 of 4
Game mode
Subtract Within 1000 Fluently Challenge
Solve and explain Grade 3 problems involving subtract within 1000 fluently without relying on answer guessing.
Practice
Mastery check
01Subtract 831 - 641.
Answer: 190
02Subtract 872 - 582.
Answer: 290
03Subtract 913 - 523.
Answer: 390
04Subtract 404 - 268.
Answer: 136
05Subtract 445 - 410.
Answer: 35
06Subtract 486 - 228.
Answer: 258
07Subtract 527 - 493.
Answer: 34
08Subtract 568 - 352.
Answer: 216
Terminology
Words to know
- difference
- The result of subtraction.
- regroup
- Rename a place-value unit without changing total value.
Continue learning
Connected concepts
Curriculum references
Standards and instructional references
California Common Core State Standards for Mathematics — Grade 3, 3.NBT.2
Primary standards alignment for Subtract Within 1000 Fluently.2023 Mathematics Framework for California Public Schools
Instructional emphasis on reasoning, representations, problem solving, and equitable access.