Place Value and Rounding — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The expanded form of 302,560 is 300,000 + 20,000 + 560.
Corrected: The expanded form of 302,560 is 300,000 + 2,000 + 500 + 60.
The corrected sentence is: "The expanded form of 302,560 is 300,000 + 2,000 + 500 + 60." The error was wrong expanded form: the original sentence "The expanded form of 302,560 is 300,000 + 20,000 + 560." needed to be fixed.
2. Fix the sentence:
In the number 4,710,385, the digit 1 is in the thousands place.
Corrected: In the number 4,710,385, the digit 1 is in the ten-thousands place.
The corrected sentence is: "In the number 4,710,385, the digit 1 is in the ten-thousands place." The error was wrong place name: the original sentence "In the number 4,710,385, the digit 1 is in the thousands place." needed to be fixed.
3. Fix the sentence:
500,000 + 60,000 + 3,000 + 200 + 10 + 4 equals 536,214 in standard form.
Corrected: 500,000 + 60,000 + 3,000 + 200 + 10 + 4 equals 563,214 in standard form.
The corrected sentence is: "500,000 + 60,000 + 3,000 + 200 + 10 + 4 equals 563,214 in standard form." The error was digits transposed: the original sentence "500,000 + 60,000 + 3,000 + 200 + 10 + 4 equals 536,214 in standard form." needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The expanded form of 815,003 is 800,000 + 15,000 + 3
The missing part is 15,000 because 815,003 minus 800,000 and 3 leaves 15,000, which breaks down as 10,000 + 5,000.
2. In 6,209,140, the digit 9 is in the thousands place.
The digit 9 is in the thousands place because it is the fourth digit from the right, giving it a value of 9,000.
3. The standard form of 2,000,000 + 400,000 + 70,000 + 600 + 5 is 2,470,605
Adding each part gives 2,470,605. Notice the tens and thousands places are 0 because no value was given for those positions in the expanded form.
4. In 953,281, the value of the digit 5 is 50,000
The digit 5 sits in the ten-thousands place, so its value is 5 x 10,000 = 50,000.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Write the number 1,306,020 in expanded form and explain why some place values are missing.
Sample answer: 1,000,000 + 300,000 + 6,000 + 20. The ten-thousands, hundreds, and ones places have a digit of 0, so they do not appear in expanded form.
A good answer includes: 1,000,000 + 300,000 + 6,000 + 20. The ten-thousands, hundreds, and ones places have a digit of 0, so they do not appear in expanded form.
2. If you move the digit 8 from the hundreds place to the ten-thousands place, how does its value change?
Sample answer: The value changes from 800 to 80,000. Moving a digit one place to the left multiplies its value by 10, so moving it two places multiplies by 100.
A good answer includes: The value changes from 800 to 80,000. Moving a digit one place to the left multiplies its value by 10, so moving it two places multiplies by 100.