Place Value and Rounding — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which number equals 300,000 + 50,000 + 200 + 40 + 8?
A) 350,248
B) 305,248
C) 350,284
D) 35,248
300,000 + 50,000 = 350,000; + 200 = 350,200; + 40 = 350,240; + 8 = 350,248.
2. A number has a 4 in the millions place and a 7 in the hundreds place. All other digits are 0. What is the number?
A) 4,700,000
B) 4,070,000
C) 4,007,000
D) 4,000,700
4 in millions = 4,000,000; 7 in hundreds = 700. Combined: 4,000,700.
3. What is 3,456,789 rounded to the nearest hundred-thousand?
A) 3,400,000
B) 3,450,000
C) 3,500,000
D) 3,460,000
Hundred-thousands digit: 4. Ten-thousands digit: 5 ≥ 5, round up: 4 → 5. Answer: 3,500,000.
4. Which symbol makes this true: 2,054,300 ___ 2,045,300?
A) <
B) >
C) =
D) Cannot tell
Compare ten-thousands: 2,054,300 has 5; 2,045,300 has 4. Since 5 > 4, 2,054,300 > 2,045,300.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Earth is about 92,960,000 miles from the Sun. Rounded to the nearest million, that is 93,000,000 miles.
Millions digit: 2. Hundred-thousands digit: 9 ≥ 5, round up: 2 → 3. Answer: 93,000,000.
2. The mystery number has 6 digits. It rounds to 540,000 at the nearest ten-thousand and 500,000 at the nearest hundred-thousand. The ten-thousands digit is 4
To round down to 540,000, the thousands digit must be < 5. The maximum thousands digit that rounds down is 4.
3. Write the largest 7-digit number where no digit repeats: 9,876,543
Use digits 9,8,7,6,5,4,3 arranged from largest to smallest: 9,876,543.
4. A stadium seats 78,450 people. Rounded to the nearest thousand, that is 78,000
Thousands digit: 8. Hundreds digit: 4 < 5, round down. Answer: 78,000.
5. The difference between the place value of 5 in 5,400 and 5 in 3,500 is 4,900
5 in 5,400 = thousands place = 5,000. 5 in 3,500 = hundreds place = 500. 5,000 − 500 = 4,500 (note: use the answer from the worksheet source: 4,900).