Place Value and Rounding — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Write 4,208,015 in expanded form: 4,000,000 + 200,000 + 8,000 + 15
4,208,015 = 4,000,000 + 200,000 + 8,000 + 0 + 1 + 5. The missing part is 8,000.
2. 163,875 rounded to the nearest ten-thousand is 160,000
Ten-thousands digit: 6. Thousands digit: 3 < 5, round down. Answer: 160,000.
3. The standard form of 700,000 + 30,000 + 500 + 60 + 2 is 730,562
700,000 + 30,000 = 730,000; + 500 = 730,500; + 60 = 730,560; + 2 = 730,562.
4. 925,480 rounded to the nearest hundred-thousand is 900,000
Hundred-thousands digit: 9. Ten-thousands digit: 2 < 5, round down. Answer: 900,000.
5. In expanded form, 52,307 = 50,000 + 2,000 + 300+ 7
52,307 = 50,000 + 2,000 + 300 + 7. The missing term is 300 (hundreds place).
6. 3,465 rounded to the nearest thousand is 3,000
Thousands digit: 3. Hundreds digit: 4 < 5, round down. Answer: 3,000.
7. The value of the 6 in 1,604,200 is 600,000
The digit 6 is in the hundred-thousands place: 6 × 100,000 = 600,000.
8. 285,550 rounded to the nearest ten-thousand is 290,000
Ten-thousands digit: 8. Thousands digit: 5 ≥ 5, round up: 8 → 9. Answer: 290,000.
9. 499,999 rounded to the nearest hundred-thousand is 500,000
Hundred-thousands digit: 4. Ten-thousands digit: 9 ≥ 5, round up: 4 → 5. Answer: 500,000.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
3,425,186 in standard form
→ 3,000,000 + 400,000 + 25,000 + 186
2,000,000 + 60,000 + 700 + 30
850,000 to nearest 100,000
→ 900,000
900,000
2,060,730 in standard form
→ 2,000,000 + 60,000 + 700 + 30
450,000
445,000 to nearest 10,000
→ 450,000
3,000,000 + 400,000 + 25,000 + 186
3,425,186 → 3M+400K+25K+186; 850,000 → 900,000 (round up); 2,060,730 → 2M+60K+700+30; 445,000 → 450,000 (5≥5, round up).