Answer Keys: Place Value & Rounding

Grade 3 Mathematics | FAST Success Kit

Teacher/Parent Resource: This page contains all answers. Keep separate from student materials.
Student Concept Worksheet Answers
1. 6,203 expanded
6,000 + 200 + 3
2. "four thousand, fifty-nine"
4,059
3. Value of 4 in 7,482
400
4. Round 348 to nearest 100
300
5. Round 67 to nearest 10
70
Practice Worksheet Answers

Part A: Expanded Form

1. 4,562
4,000 + 500 + 60 + 2
2. 8,073
8,000 + 70 + 3
3. 3,901
3,000 + 900 + 1
4. 6,450
6,000 + 400 + 50

Part B: Standard Form

5.
2,437
6.
5,068
7.
7,215
8.
9,040

Part C: Value of Digit

9. 8 in 5,832
800
10. 7 in 7,146
7,000
11. 0 in 3,509
0
12. hundreds digit
2

Part D: Compare

13.
<
14.
>
15.
=
16.
<

Part E: Round to Nearest 10

17. 34
30
18. 87
90
19. 145
150
20. 562
560
21. 795
800
22. 238
240

Part F: Round to Nearest 100

23. 247
200
24. 682
700
25. 450
500
26. 529
500
27. 871
900
28. 345
300

Part G: Order

29.
5,342 < 5,423 < 5,432
30.
8,097 < 8,709 < 8,790
FAST Practice Quiz Answers
1
C. 500
The 5 is in the hundreds place, so its value is 5 × 100 = 500.
2
B. 4,000 + 80 + 3
4,083 = 4 thousands + 0 hundreds + 8 tens + 3 ones = 4,000 + 80 + 3.
3
D. 500
473 is between 400 and 500. It's past 450 (the midpoint), so it's closer to 500.
4
B. 5,672 < 5,762
Same thousands (5), same hundreds (6 vs 7 - wait, 6 hundreds vs 7 hundreds). 6 < 7, so 5,672 < 5,762.
5
850
847 is between 840 and 850. It's closer to 850 (only 3 away vs 7 away from 840).
6
B. 8,206
"Eight thousand, two hundred six" = 8,000 + 200 + 6 = 8,206. Note: no tens!
7
B. 3,829, 3,892, 3,928
All have 3 thousands and 8 hundreds. Compare tens: 2 < 9. 3,829 is smallest. Then 3,892 < 3,928.
8
C. No, 450 is exactly in the middle, so we round up to 500.
450 is exactly between 400 and 500. By convention, when exactly in the middle, we round up.
9
7,352
7,000 + 300 + 50 + 2 = 7,352.
10
D. 700
682 is between 600 and 700. It's past 650, so it rounds to 700.

Scoring Guide

Assessment Total Points Proficient (70%+) Needs Support
Student Concept Worksheet 5 points 4+ correct Review place value chart
Practice Worksheet 30 points 21+ correct Focus on rounding with number lines
FAST Practice Quiz 10 points 7+ correct Use place value blocks

Common Errors: Confusing digit with value, rounding to wrong place, forgetting zero placeholders in expanded form.