Answer Keys: Place Value & Rounding

Grade 4 Mathematics | FAST Success Kit

Teacher/Parent Resource: This page contains all answers. Keep separate from student materials.
Student Concept Worksheet Answers
1. 2,405,063 expanded
2,000,000 + 400,000 + 5,000 + 60 + 3
2. "six hundred forty-seven thousand..."
647,209
3. Value of 8 in 3,582,461
80,000
4. Round 4,738 to nearest 1,000
5,000
5. Round 8,465 to nearest 100
8,500
Practice Worksheet Answers

Part A: Expanded Form

1. 45,623
40,000 + 5,000 + 600 + 20 + 3
2. 807,345
800,000 + 7,000 + 300 + 40 + 5
3. 2,056,089
2,000,000 + 50,000 + 6,000 + 80 + 9
4. 3,400,702
3,000,000 + 400,000 + 700 + 2
5. 560,018
500,000 + 60,000 + 10 + 8
6. 9,020,405
9,000,000 + 20,000 + 400 + 5

Part B: Standard Form

7.
245,378
8.
3,602,054
9.
462,517
10.
7,034,008
11.
905,060
12.
5,080,309

Part C: Value of Digit

13. 5 in 4,582,637
500,000
14. 7 in 7,296,814
7,000,000
15. ten thousands digit
4
16. 0 in 6,705,283
0
17. hundred thousands
4
18. 6 in 2,861,047
60,000

Part D: Compare

19.
<
20.
<
21.
<
22.
=
23.
<
24.
<

Parts E-G: Rounding

25. 4,567 nearest 10
4,570
26. 8,934 nearest 10
8,930
27. 6,847 nearest 100
6,800
28. 3,250 nearest 100
3,300
29. 7,489 nearest 1,000
7,000
30. 5,500 nearest 1,000
6,000
FAST Practice Quiz Answers
1
C. 700,000
The 7 is in the hundred thousands place, so its value is 7 x 100,000 = 700,000.
2
C. 3,000,000 + 40,000 + 5,000 + 600 + 8
3,045,608 = 3 millions + 0 hundred thousands + 4 ten thousands + 5 thousands + 6 hundreds + 0 tens + 8 ones.
3
D. 7,000
6,742 is between 6,000 and 7,000. The midpoint is 6,500. Since 6,742 > 6,500, it's closer to 7,000.
4
B. 456,789 < 465,789
Same hundred thousands (4). Compare ten thousands: 5 vs 6. Since 5 < 6, 456,789 < 465,789.
5
4,700
4,738 is between 4,700 and 4,800. The midpoint is 4,750. Since 4,738 < 4,750, it rounds to 4,700.
6
B. 5,208,043
"Five million" = 5,000,000. "Two hundred eight thousand" = 208,000. "Forty-three" = 43. Total: 5,208,043.
7
B. 428,156   481,256   482,156
Compare hundred thousands first: 428,156 starts with 42... while others start with 48... Then 481,256 < 482,156 (compare ten thousands).
8
C. No, 7,500 is exactly in the middle, so we round up to 8,000.
7,500 is exactly between 7,000 and 8,000. By convention, when exactly in the middle, we round up.
9
4,326,572
Add all parts: 4,000,000 + 300,000 + 20,000 + 6,000 + 500 + 70 + 2 = 4,326,572.
10
C. 55,000
54,827 is between 54,000 and 55,000. The midpoint is 54,500. Since 54,827 > 54,500, it rounds to 55,000.

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 expanded form and rounding
FAST Practice Quiz 10 points 7+ correct Use place value charts and number lines

Common Errors: Confusing digit with value, reading numbers incorrectly (skipping period names), rounding to wrong place, forgetting zero placeholders in expanded form.

FAST Success Kit | Grade 4 | FL B.E.S.T. Standards: MA.4.NSO.1.1-1.4