Subtract Within 1,000 Using Place Value | Grade 2 Math

Subtract Within 1,000 Using Place Value — Grade 2 math with hundreds, tens, and ones
Grade 2 Math ›  Addition & Subtraction Within 1,000  ›  Lesson 17
Grade 2 Math — Subtraction and Place Value

Subtract Within 1,000 Using Place Value

Learn to subtract three-digit numbers by working with hundreds, tens, and ones. Use base-ten blocks, place-value charts, expanded form, and helpful backward jumps on an open number line to understand what a difference means.

Begin with problems that do not require decomposing a ten or a hundred. Then practice finding missing amounts, solving simple stories, checking subtraction with addition, and explaining why each step works. Includes 25 step-by-step worked examples, 30 practice problems, and a 15-question lesson test.

Subtract within 1,000Hundreds–tens–onesBase-ten modelsExpanded formOpen number linesNo regrouping yet

๐ŸŽฏ What You Will Learn

Subtract units of the same place
Take hundreds from hundreds, tens from tens, and ones from ones.
Model a difference
Show the amount you start with, what is taken away, and what remains.
Try several strategies
Use a place-value chart, expanded form, or backward jumps on a number line.
Explain and check
Explain why the parts match the whole number and check with addition.
For parents & teachers — standards alignment: This lesson supports CCSS 2.NBT.B.7, which calls for subtraction within 1,000 using drawings, concrete models, and place-value strategies, and CCSS 2.NBT.B.9, which asks students to explain why those strategies work. Subtracting 10 or 100 also supports CCSS 2.NBT.B.8. Related Texas Grade 2 expectations include TEKS 2.4(C) for solving addition/subtraction word problems within 1,000 and TEKS 2.7(B) for 10 or 100 more or less. Scope note: this is a deliberate first lesson on subtraction without decomposing units; the next lesson teaches when a ten or hundred needs to be decomposed.

๐Ÿง  Key Vocabulary

minuend
The starting number in a subtraction equation, such as 652 in 652 − 231.
subtrahend
The number taken away, such as 231 in 652 − 231.
difference
The amount remaining or the distance between two quantities; 421 in 652 − 231 = 421.
place value
The value of a digit because it is in the hundreds, tens, or ones place.
base-ten blocks
A hundred flat is 100, a ten rod is 10, and a one cube is 1.
expanded form
Writing 652 as 600 + 50 + 2 to make the place values visible.
open number line
A way to show useful backward jumps without drawing every number.
related addition fact
A way to check: difference + amount taken away = starting amount.

๐ŸŸฆ Start with Base-Ten Blocks: 652 − 231

Imagine 652 built with six hundred flats, five ten rods, and two one cubes. We want to take away 231: two hundred flats, three ten rods, and one one cube. Each place has enough units to remove the matching amount.

Read the rows: the middle row shows the blocks removed from the first row; the last row shows only the blocks left over.

↔ On a phone, swipe sideways inside the model; with a keyboard, focus it and use the arrow keys.

Amount
Hundreds
Tens
Ones
Start
652
Take away
231
Remain
421
652 − 231 = 421

6 hundreds − 2 hundreds = 4 hundreds; 5 tens − 3 tens = 2 tens; 2 ones − 1 one = 1 one.

Big idea: We remove matching place-value units. The hundreds, tens, and ones that remain make the difference: 400 + 20 + 1 = 421. We never treat a hundred flat as a one cube or a ten rod.

๐Ÿ  Subtract in Three Place-Value Steps

Subtracting 652 − 231 can be explained by taking away hundreds, then tens, then ones.

1. Hundreds600 − 200 = 400
2. Tens50 − 30 = 20
3. Ones2 − 1 = 1
400 + 20 + 1 = 421
When this works directly: There must be enough units in every place to take away the number of units in that place. Here 6 ≥ 2, 5 ≥ 3, and 2 ≥ 1, so no decomposing is needed.

๐Ÿ“Š Read a Place-Value Chart

The chart describes the same subtraction as the blocks above. Be sure the hundreds, tens, and ones stay aligned.

↔ On a phone, swipe sideways across the table; with a keyboard, focus it and use the arrow keys.

What happensHundredsTensOnes
Start with 652652
Take away 231231
Remain: 421421

๐Ÿงฉ Use Expanded Form and Partial Differences

Expanded form helps us explain each place rather than guessing a final number. Here is another example, 864 − 321.

Write the starting and removed amounts

864 = 800 + 60 + 4.
321 = 300 + 20 + 1.

864 − 321
Subtract in each place

800 − 300 = 500.
60 − 20 = 40.
4 − 1 = 3.

500 + 40 + 3 = 543
Watch the units: 8 hundreds − 3 hundreds = 5 hundreds (500), not just 5. Likewise 6 tens − 2 tens = 4 tens (40), not 4 ones.

⬅️ Subtract with Backward Jumps on an Open Number Line

To subtract 231 from 652, split 231 into 200, 30, and 1. Move backward by those amounts in any helpful order. The path below shows 652 → 452 → 422 → 421.

Schematic open number line: start at 652, jump back 200 to 452, jump back 30 to 422, then jump back 1 to 421. −200−30−1421422452652
652 − 200 = 452; 452 − 30 = 422; 422 − 1 = 421. Jumps are schematic, not drawn to scale.

๐Ÿ”ข What If a Place Has Zero?

Example: 806 − 302

Hundreds: 8 hundreds − 3 hundreds = 5 hundreds. Tens: 0 tens − 0 tens = 0 tens. Ones: 6 ones − 2 ones = 4 ones.

806 − 302 = 504
Example: 980 − 460

Hundreds: 9 hundreds − 4 hundreds = 5 hundreds. Tens: 8 tens − 6 tens = 2 tens. Ones: 0 ones − 0 ones = 0 ones.

980 − 460 = 520
Zero is a placeholder: 504 has 5 hundreds, 0 tens, and 4 ones. Do not write 54: that would mean only 5 tens and 4 ones.

✅ Check with the Related Addition Fact

Subtraction and addition undo each other. If 652 − 231 = 421, adding the difference and the removed amount should return the starting number.

421 + 231 = 652 ✓
Check ones1 one + 1 one = 2 ones
Check tens2 tens + 3 tens = 5 tens
Check hundreds4 hundreds + 2 hundreds = 6 hundreds

๐Ÿงญ Know When Decomposing Is Needed

Before starting, compare the digits in the same places. In this lesson, we choose problems where each place in the starting number has enough units.

We can subtract directly

Example: 758 − 324. Eight ones can lose four, five tens can lose two, and seven hundreds can lose three.

758 − 324 = 434
This needs the next lesson

Example: 503 − 127. The starting number has only 3 ones, but we need to take away 7 ones. We cannot finish by subtracting each digit directly.

A new place-value trade is needed
Important: The statement “3 − 7 is impossible” is not a general rule about all numbers. It means that in the ones place of this whole-number subtraction model, there are not enough ones without first decomposing a ten or hundred. We will learn that exchange in Lesson 18.

๐ŸŒŸ 25 Worked Examples

Try each question before opening Show solution. The examples build from three-digit differences without regrouping to numbers with zeros, missing numbers, a story problem, and error analysis.
1Subtract hundreds, tens, and ones
Find 763 − 241 with place value.
Show solutionHide solution

We have 7 hundreds, 6 tens, and 3 ones. Remove 2 hundreds, 4 tens, and 1 one. That leaves 5 hundreds, 2 tens, and 2 ones. So 763 − 241 = 522.

2Subtract by place-value columns
Find 874 − 352.
Show solutionHide solution

Subtract matching units: 8 hundreds − 3 hundreds = 5 hundreds; 7 tens − 5 tens = 2 tens; and 4 ones − 2 ones = 2 ones. Therefore the difference is 522. Check: 522 + 352 = 874.

3Use expanded form
Find 598 − 276.
Show solutionHide solution

Write 598 as 500 + 90 + 8 and 276 as 200 + 70 + 6. Take away equal place-value units: 500 − 200 = 300, 90 − 70 = 20, and 8 − 6 = 2. Combine 300 + 20 + 2 = 322.

4Remove hundreds first
Find 735 − 412.
Show solutionHide solution

Take away 400 first: 735 − 400 = 335. Take away 10 next: 335 − 10 = 325. Take away the last 2 ones: 325 − 2 = 323. The total amount removed was 400 + 10 + 2 = 412.

5Use a number line mentally
Find 846 − 325.
Show solutionHide solution

Start at 846. Count backward 300 to 546, then 20 to 526, and then 5 to 521. These jumps remove 325 altogether. The result has 5 hundreds, 2 tens, and 1 one.

6Check with addition
Find 963 − 541.
Show solutionHide solution

Subtract by place value: 9 hundreds − 5 hundreds = 4 hundreds, 6 tens − 4 tens = 2 tens, and 3 ones − 1 one = 2 ones. The difference is 422. Confirm with the related addition fact 422 + 541 = 963.

7Subtract without a trade
Find 786 − 435.
Show solutionHide solution

The ones place has enough ones: 6 − 5 = 1. The tens place has enough tens: 8 − 3 = 5. The hundreds place has enough hundreds: 7 − 4 = 3. So the answer is 351; no place-value trade was needed.

8Name every remaining unit
Find 687 − 254.
Show solutionHide solution

Seven ones minus four ones leaves 3 ones. Eight tens minus five tens leaves 3 tens. Six hundreds minus two hundreds leaves 4 hundreds. The answer is 433.

9Subtract from each matching place
Find 945 − 623.
Show solutionHide solution

Subtract the 3 ones from 5 ones, leaving 2 ones. Subtract the 2 tens from 4 tens, leaving 2 tens. Subtract the 6 hundreds from 9 hundreds, leaving 3 hundreds. Therefore 945 − 623 = 322.

10Understand a zero in the tens place
Find 709 − 204.
Show solutionHide solution

The number 709 has 7 hundreds, 0 tens, and 9 ones. Remove 2 hundreds, 0 tens, and 4 ones. We have 5 hundreds, 0 tens, and 5 ones left, which is 505. Keep the 0 in the tens place; writing 55 instead would change the number.

11Zero tens can stay zero
Find 806 − 302.
Show solutionHide solution

Subtract 3 hundreds from 8 hundreds to get 5 hundreds. There are no tens to remove from the 0 tens. Six ones minus 2 ones leaves 4 ones. The result is 504.

12Subtract with zero ones
Find 980 − 460.
Show solutionHide solution

Nine hundreds minus four hundreds leaves 5 hundreds. Eight tens minus six tens leaves 2 tens. Zero ones minus zero ones leaves 0 ones. Put the digits together: 520.

13Take away only tens
Find 764 − 40.
Show solutionHide solution

Forty means 4 tens and 0 ones. Subtract 4 tens from the 6 tens in 764, leaving 2 tens. The 7 hundreds and 4 ones do not change. Thus 764 − 40 = 724.

14Take away only hundreds
Find 853 − 200.
Show solutionHide solution

Two hundred is 2 hundreds, 0 tens, and 0 ones. Take 2 hundreds from the 8 hundreds in 853. Five tens and 3 ones stay the same, so 853 − 200 = 653.

15Take away only ones
Find 698 − 5.
Show solutionHide solution

The number 5 represents only ones. Remove 5 ones from the 8 ones in 698; 3 ones remain. The 6 hundreds and 9 tens stay unchanged, so the difference is 693.

16Subtract hundreds and tens together
Find 759 − 230.
Show solutionHide solution

Remove 2 hundreds from 7 hundreds, leaving 5 hundreds. Remove 3 tens from 5 tens, leaving 2 tens. Subtracting 0 ones leaves the original 9 ones. The difference is 529.

17Explain why no regrouping is needed
Find 936 − 714.
Show solutionHide solution

Six ones can lose 4 ones; 3 tens can lose 1 ten; and 9 hundreds can lose 7 hundreds. Subtract in each place: 6 − 4 = 2, 3 − 1 = 2, 9 − 7 = 2. Therefore 936 − 714 = 222. No place needs more units than it already has.

18Use three partial differences
Find 789 − 456.
Show solutionHide solution

Subtract 400 to get 389. Subtract 50 to get 339. Subtract 6 to get 333. Check by adding 333 + 456 = 789. You may also subtract hundreds, tens, and ones in separate columns.

19Represent the difference in expanded form
Find 832 − 421.
Show solutionHide solution

Separate place values: (800 − 400) + (30 − 20) + (2 − 1) = 400 + 10 + 1. The difference is 411. In the block model, 4 hundred flats, 1 ten rod, and 1 one cube remain.

20Find the difference, then verify
Find 568 − 351.
Show solutionHide solution

Remove 3 hundreds, 5 tens, and 1 one from 5 hundreds, 6 tens, and 8 ones. The remaining 2 hundreds, 1 ten, and 7 ones make 217. Check: 217 + 351 = 568.

21Compare two correct methods
Find 764 − 321 in two ways.
Show solutionHide solution

Place-value method: 700 − 300 = 400, 60 − 20 = 40, and 4 − 1 = 3, so the difference is 443. Backward-jump method: 764 − 300 = 464, then −20 = 444, then −1 = 443. Both methods remove exactly 321.

22Find a missing subtrahend
Complete 874 − □ = 542.
Show solutionHide solution

The missing number is the amount taken away. Compare 874 and 542 by place: 8 hundreds − 5 hundreds = 3 hundreds, 7 tens − 4 tens = 3 tens, and 4 ones − 2 ones = 2 ones. So □ = 332. Check: 542 + 332 = 874.

23Find the unknown starting amount
Complete □ − 231 = 452.
Show solutionHide solution

We need the starting amount before 231 was removed. Add the removed amount to what remains: 452 + 231. Add units: 4 hundreds + 2 hundreds = 6 hundreds, 5 tens + 3 tens = 8 tens, 2 ones + 1 one = 3 ones. Therefore □ = 683. Check: 683 − 231 = 452.

24Solve a place-value story
A classroom had 958 craft sticks. Students used 347 sticks. How many sticks remain?
Show solutionHide solution

The sticks removed are 3 hundreds, 4 tens, and 7 ones. From the starting 9 hundreds, 5 tens, and 8 ones, we have 6 hundreds, 1 ten, and 1 one left. So 611 craft sticks remain. Check: 611 + 347 = 958.

25Find and correct an error
A student writes 756 − 243 = 413. Explain the error and find the correct difference.
Show solutionHide solution

The student seems to have written 4 in the hundreds place, but 7 hundreds − 2 hundreds equals 5 hundreds, not 4. In the tens place, 5 tens − 4 tens = 1 ten; in the ones place, 6 ones − 3 ones = 3 ones. So the correct difference is 513. Check: 513 + 243 = 756.

๐ŸŽฎ Independent Practice — 30 Problems

Directions: subtract using hundreds, tens, and ones. For problems that ask for a missing number or explanation, show how the number or error can be found. Use another strategy or addition to check. Keep the answer key closed until you finish.

  1. 754 − 231 = ____.
  2. 863 − 412 = ____.
  3. 976 − 543 = ____.
  4. 695 − 263 = ____.
  5. 847 − 326 = ____.
  6. 568 − 245 = ____.
  7. 789 − 356 = ____.
  8. 934 − 512 = ____.
  9. 679 − 348 = ____.
  10. 846 − 703 = ____.
  11. 807 − 306 = ____.
  12. 905 − 403 = ____.
  13. 970 − 350 = ____.
  14. 890 − 470 = ____.
  15. 764 − 20 = ____.
  16. 835 − 300 = ____.
  17. 698 − 7 = ____.
  18. 984 − 60 = ____.
  19. 758 − 124 = ____.
  20. 975 − 432 = ____.
  21. 897 − 675 = ____.
  22. 668 − 346 = ____.
  23. 743 − 421 = ____.
  24. 886 − 263 = ____.
  25. 777 − 555 = ____. Name the hundreds, tens, and ones that remain.
  26. A school had 864 crayons. It gave 341 crayons to a class. How many crayons were left?
  27. A library had 786 books on a display. Staff moved 254 books to a different room. How many stayed on the display?
  28. Complete the subtraction: 957 − □ = 624. Find the missing number.
  29. Complete the subtraction: □ − 324 = 541. Find the starting number.
  30. A student claims 875 − 342 = 532. Explain the error and write the correct difference.

๐Ÿ† Lesson Test — 15 Questions

Directions: complete the lesson test independently. Use place-value reasoning to explain the missing-number, story, and error-analysis problems. Open the test answer key only after you have finished.

  1. 865 − 342 = ____.
  2. 794 − 263 = ____.
  3. 958 − 436 = ____.
  4. 687 − 345 = ____.
  5. 975 − 651 = ____.
  6. 839 − 417 = ____.
  7. 760 − 240 = ____.
  8. 908 − 405 = ____.
  9. 850 − 300 = ____.
  10. 967 − 20 = ____.
  11. 759 − 408 = ____.
  12. 869 − 547 = ____.
  13. Complete 986 − □ = 543. What is the missing number?
  14. A bake sale prepared 968 cupcakes and sold 324 cupcakes. How many cupcakes remained?
  15. A student says 753 − 241 = 612. Is the answer correct? Explain and give the right difference.

๐Ÿ” Complete Answer Key

Show practice answer keyHide practice answer key

Practice Answers

Teacher note: Accept any accurate subtraction method that preserves the meaning of hundreds, tens, and ones. For a word problem, include the appropriate unit; for an error-analysis problem, explain the incorrect place-value step.

1. 523. 7 hundreds − 2 hundreds = 5 hundreds; 5 tens − 3 tens = 2 tens; 4 ones − 1 one = 3 ones.
2. 451. 8 hundreds − 4 hundreds = 4 hundreds; 6 tens − 1 ten = 5 tens; 3 ones − 2 ones = 1 one.
3. 433. 9 hundreds − 5 hundreds = 4 hundreds; 7 tens − 4 tens = 3 tens; 6 ones − 3 ones = 3 ones.
4. 432. 6 hundreds − 2 hundreds = 4 hundreds; 9 tens − 6 tens = 3 tens; 5 ones − 3 ones = 2 ones.
5. 521. 8 hundreds − 3 hundreds = 5 hundreds; 4 tens − 2 tens = 2 tens; 7 ones − 6 ones = 1 one.
6. 323. 5 hundreds − 2 hundreds = 3 hundreds; 6 tens − 4 tens = 2 tens; 8 ones − 5 ones = 3 ones.
7. 433. 7 hundreds − 3 hundreds = 4 hundreds; 8 tens − 5 tens = 3 tens; 9 ones − 6 ones = 3 ones.
8. 422. 9 hundreds − 5 hundreds = 4 hundreds; 3 tens − 1 ten = 2 tens; 4 ones − 2 ones = 2 ones.
9. 331. 6 hundreds − 3 hundreds = 3 hundreds; 7 tens − 4 tens = 3 tens; 9 ones − 8 ones = 1 one.
10. 143. 8 hundreds − 7 hundreds = 1 hundred; 4 tens − 0 tens = 4 tens; 6 ones − 3 ones = 3 ones.
11. 501. 8 hundreds − 3 hundreds = 5 hundreds; 0 tens − 0 tens = 0 tens; 7 ones − 6 ones = 1 one.
12. 502. 9 hundreds − 4 hundreds = 5 hundreds; 0 tens − 0 tens = 0 tens; 5 ones − 3 ones = 2 ones.
13. 620. 9 hundreds − 3 hundreds = 6 hundreds; 7 tens − 5 tens = 2 tens; 0 ones − 0 ones = 0 ones.
14. 420. 8 hundreds − 4 hundreds = 4 hundreds; 9 tens − 7 tens = 2 tens; 0 ones − 0 ones = 0 ones.
15. 744. 7 hundreds − 0 hundreds = 7 hundreds; 6 tens − 2 tens = 4 tens; 4 ones − 0 ones = 4 ones.
16. 535. 8 hundreds − 3 hundreds = 5 hundreds; 3 tens − 0 tens = 3 tens; 5 ones − 0 ones = 5 ones.
17. 691. 6 hundreds − 0 hundreds = 6 hundreds; 9 tens − 0 tens = 9 tens; 8 ones − 7 ones = 1 one.
18. 924. 9 hundreds − 0 hundreds = 9 hundreds; 8 tens − 6 tens = 2 tens; 4 ones − 0 ones = 4 ones.
19. 634. 7 hundreds − 1 hundred = 6 hundreds; 5 tens − 2 tens = 3 tens; 8 ones − 4 ones = 4 ones.
20. 543. 9 hundreds − 4 hundreds = 5 hundreds; 7 tens − 3 tens = 4 tens; 5 ones − 2 ones = 3 ones.
21. 222. 8 hundreds − 6 hundreds = 2 hundreds; 9 tens − 7 tens = 2 tens; 7 ones − 5 ones = 2 ones.
22. 322. 6 hundreds − 3 hundreds = 3 hundreds; 6 tens − 4 tens = 2 tens; 8 ones − 6 ones = 2 ones.
23. 322. 7 hundreds − 4 hundreds = 3 hundreds; 4 tens − 2 tens = 2 tens; 3 ones − 1 one = 2 ones.
24. 623. 8 hundreds − 2 hundreds = 6 hundreds; 8 tens − 6 tens = 2 tens; 6 ones − 3 ones = 3 ones.
25. 222. 7 hundreds − 5 hundreds = 2 hundreds; 7 tens − 5 tens = 2 tens; 7 ones − 5 ones = 2 ones.
26. 523 crayons. Subtract the crayons given away: 8 hundreds − 3 hundreds = 5 hundreds; 6 tens − 4 tens = 2 tens; 4 ones − 1 one = 3 ones. The answer is 523 crayons.
27. 532 books. Subtract the moved books: 7 hundreds − 2 hundreds = 5 hundreds; 8 tens − 5 tens = 3 tens; 6 ones − 4 ones = 2 ones. The answer is 532 books.
28. 333. Find the removed amount: 957 − 624 = 333. Check: 624 + 333 = 957.
29. 865. Find the start by adding what was removed: 541 + 324 = 865. Check: 865 − 324 = 541.
30. 533. The student put 2 ones instead of 3. Five ones − 2 ones = 3 ones; the correct difference is 533. Check: 533 + 342 = 875.
Show test answer keyHide test answer key

Test Answers

Teacher note: Accept equivalent correct place-value equations or backward jumps, as long as the reasoning is complete for the questions that request it.

1. 523. 8 hundreds − 3 hundreds = 5 hundreds; 6 tens − 4 tens = 2 tens; 5 ones − 2 ones = 3 ones.
2. 531. 7 hundreds − 2 hundreds = 5 hundreds; 9 tens − 6 tens = 3 tens; 4 ones − 3 ones = 1 one.
3. 522. 9 hundreds − 4 hundreds = 5 hundreds; 5 tens − 3 tens = 2 tens; 8 ones − 6 ones = 2 ones.
4. 342. 6 hundreds − 3 hundreds = 3 hundreds; 8 tens − 4 tens = 4 tens; 7 ones − 5 ones = 2 ones.
5. 324. 9 hundreds − 6 hundreds = 3 hundreds; 7 tens − 5 tens = 2 tens; 5 ones − 1 one = 4 ones.
6. 422. 8 hundreds − 4 hundreds = 4 hundreds; 3 tens − 1 ten = 2 tens; 9 ones − 7 ones = 2 ones.
7. 520. 7 hundreds − 2 hundreds = 5 hundreds; 6 tens − 4 tens = 2 tens; 0 ones − 0 ones = 0 ones.
8. 503. 9 hundreds − 4 hundreds = 5 hundreds; 0 tens − 0 tens = 0 tens; 8 ones − 5 ones = 3 ones.
9. 550. 8 hundreds − 3 hundreds = 5 hundreds; 5 tens − 0 tens = 5 tens; 0 ones − 0 ones = 0 ones.
10. 947. 9 hundreds − 0 hundreds = 9 hundreds; 6 tens − 2 tens = 4 tens; 7 ones − 0 ones = 7 ones.
11. 351. 7 hundreds − 4 hundreds = 3 hundreds; 5 tens − 0 tens = 5 tens; 9 ones − 8 ones = 1 one.
12. 322. 8 hundreds − 5 hundreds = 3 hundreds; 6 tens − 4 tens = 2 tens; 9 ones − 7 ones = 2 ones.
13. 443. The missing subtrahend is 986 − 543 = 443. Check: 543 + 443 = 986.
14. 644 cupcakes. Subtract the cupcakes sold: 968 − 324 = 644. That many cupcakes remain.
15. 512. No. The hundreds digit should be 7 − 2 = 5, not 6. Tens: 5 − 4 = 1; ones: 3 − 1 = 2. The correct difference is 512. Check: 512 + 241 = 753.

๐Ÿ’ก Common Mistakes to Watch For

Subtracting unlike places
Take 3 tens from tens, not 3 ones. In 652 − 231, the 3 represents 30, not 3.
Dropping a zero
806 − 302 = 504. The zero in the tens place keeps the four in the ones place.
Confusing units and values
6 hundreds − 2 hundreds = 4 hundreds, which means 400, not 4.
Forgetting what the difference means
The difference is the amount left or the distance between the numbers, not the number taken away.
Subtracting a digit when there are too few units
If the top ones digit is smaller than the ones taken away, we need to decompose a place-value unit. This is covered in Lesson 18.
Checking in the wrong direction
To check 652 − 231 = 421, use 421 + 231 = 652, not 652 + 231.
Family practice idea: Ask, “How many hundreds, tens, and ones were there at the start? How many were removed? What remains?” Encourage your student to build the numbers with blocks and explain the result.

๐Ÿ”— Related Lessons

๐Ÿ–จ️ Printable Companion

A future Subtract Within 1,000 Using Place Value Practice Pack can include base-ten subtraction mats, hundreds–tens–ones charts, backward-jump number lines, expanded-form questions, missing-number puzzles, word problems, error analysis, and complete answer keys.

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