Four-Digit Subtraction Exchanges

Name:

Date:

Core Practice

WALT: We Are Learning To subtract four-digit numbers by exchanging place-value units.

Remember: One place-value unit can be exchanged for ten units of the next smaller place. The total value stays unchanged. Use exchange or regroup, not “borrow”.

1. Solve: 500 − 268 = ________

2. Solve: 603 − 278 = ________

3. Solve: 704 − 259 = ________

4. Solve: 821 − 457 = ________

5. Solve: 930 − 486 = ________

6. Solve: 4,302 − 1,876 = ________

7. Check one answer using addition or estimation. Show your check.

Support: Show the Exchanges

WALT: We Are Learning To line up place values and explain each exchange.

Use the place-value columns to help. Optional prompt: draw blocks or write, “I exchanged ___ for ___ because ___.”

8. Solve: 432 − 178 = ________

Thousands | Hundreds | Tens | Ones

9. Solve: 604 − 235 = ________

Thousands | Hundreds | Tens | Ones

10. Solve: 1,002 − 468 = ________

Thousands | Hundreds | Tens | Ones

Extension: Find Different Minuends

WALT: We Are Learning To explain how changing numbers affects a difference.

Find three different four-digit minuends that give a difference of 425. Choose a four-digit subtrahend for each one. Solve and explain your reasoning. Include an estimate or inverse check if you can.

11a. ________ − ________ = 425

11b. ________ − ________ = 425

11c. ________ − ________ = 425

Explain: How do you know all three differences are 425? Which exchanges were needed?