Place Value and Rounding — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which number is equal to 8,000,000 + 50,000 + 900 + 20 + 3?
A) 8,509,203
B) 8,050,923
C) 8,500,923
D) 850,923
The correct answer is B) 8,050,923. Which number is equal to 8,000,000 + 50,000 + 900 + 20 + 3 — the answer is 8,050,923.
2. A city has a population of 1,347,682. Rounded to the nearest hundred-thousand, the population is:
A) 1,000,000
B) 1,300,000
C) 1,400,000
D) 1,350,000
The correct answer is B) 1,300,000. A city has a population of 1,347,682. Rounded to the nearest hundred-thousand, the population is: — the answer is 1,300,000.
3. In 4,926,150, how many times greater is the value of the 9 than the value of the 1?
A) 9
B) 90
C) 900
D) 9,000
The correct answer is D) 9,000. In 4,926,150, how many times greater is the value of the 9 than the value of the 1 — the answer is 9,000.
4. Which number does NOT round to 730,000 when rounded to the nearest ten-thousand?
A) 725,100
B) 734,800
C) 729,999
D) 735,500
The correct answer is D) 735,500. Which number does NOT round to 730,000 when rounded to the nearest ten-thousand — the answer is 735,500.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A factory made 4,836,500 items last year. Rounded to the nearest million, that is 5,000,000 items.
The hundred-thousands digit is 8, which is 5 or greater, so the millions digit rounds up from 4 to 5, giving 5,000,000.
2. In expanded form, 3,745,106 = 3,000,000 + 700,000 + 40,000 + 5,000 + 100 + 6.
Subtract the known parts from 3,745,106: 3,745,106 - 3,000,000 - 40,000 - 5,000 - 100 - 6 = 700,000. The hundred-thousands digit 7 confirms this.
3. Write the smallest 7-digit number using the digits 3, 0, 5, 1, 8, 2, 9 (each used once): 1,023,589
To make the smallest number, put the smallest non-zero digit (1) in the millions place, then arrange the rest from smallest to largest: 0, 2, 3, 5, 8, 9, giving 1,023,589.
4. A number rounded to the nearest hundred is 45,200. The smallest whole number it could be is 45,150
Numbers from 45,150 to 45,249 all round to 45,200. At 45,149, the tens digit is 4, which rounds down to 45,100, so 45,150 is the smallest that rounds to 45,200.
5. In 7,609,341, swapping the millions digit and the thousands digit gives 9,607,341
The millions digit is 7 and the thousands digit is 9. Swapping them puts 9 in the millions place and 7 in the thousands place, creating 9,607,341.