Place Value and Rounding — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. What is the value of the digit 2 in 5,278,463?
A) 2,000
B) 20,000
C) 200,000
D) 2,000,000
Starting from the right: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions. The digit 2 is in the hundred-thousands place: 2 × 100,000 = 200,000.
2. What is 4,950 rounded to the nearest hundred?
A) 4,900
B) 4,950
C) 5,000
D) 5,100
Hundreds digit: 9. Tens digit: 5 ≥ 5, round up: 9 → 10, which carries over. Answer: 5,000.
3. What is 2,635,000 rounded to the nearest million?
A) 2,000,000
B) 2,600,000
C) 3,000,000
D) 3,600,000
Millions digit: 2. Hundred-thousands digit: 6 ≥ 5, round up: 2 → 3. Answer: 3,000,000.
4. Which number rounds to 470,000 when rounded to the nearest ten-thousand?
A) 460,100
B) 474,999
C) 475,001
D) 479,500
474,999: ten-thousands digit = 7; thousands digit = 4 < 5, round down → 470,000 ✓. (475,001 would round to 480,000.)
Part B: Fill in the Blank
Write the correct answer on each line.
1. A city has 1,847,562 people. Rounded to the nearest hundred-thousand, the population is 1,800,000
Hundred-thousands digit: 8. Ten-thousands digit: 4 < 5, round down. Answer: 1,800,000.
2. The digit 9 in 3,900,000 has a value of 900,000
The digit 9 is in the hundred-thousands place: 9 × 100,000 = 900,000.
3. 6,495 rounded to the nearest thousand is 6,000
Thousands digit: 6. Hundreds digit: 4 < 5, round down. Answer: 6,000.
4. A number rounded to the nearest ten-thousand is 250,000. The smallest whole number it could be is 245,000
For a number to round up to 250,000, its thousands digit must be ≥ 5. The smallest is 245,000 (thousands digit = 5 → rounds up).
5. In 7,041,006, the place value of the digit 4 is ten-thousands
7,041,006: 6=ones, 0=tens, 0=hundreds, 1=thousands, 4=ten-thousands, 0=hundred-thousands, 7=millions.