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:
In the number 435,208, the digit 3 has a value of 3,000 because it is in the thousands place.
Corrected: In the number 435,208, the digit 3 has a value of 30,000 because it is in the ten-thousands place.
The corrected sentence is: "In the number 435,208, the digit 3 has a value of 30,000 because it is in the ten-thousands place.". The original sentence "In the number 435,208, the digit 3 has a value of 3,000 because it is in the thousands place." contained an error that needed to be fixed.
2. Fix the sentence:
600,000 + 50,000 + 2,000 + 400 + 30 + 7 = 625,437 in standard form.
Corrected: 600,000 + 50,000 + 2,000 + 400 + 30 + 7 = 652,437 in standard form.
The corrected sentence is: "600,000 + 50,000 + 2,000 + 400 + 30 + 7 = 652,437 in standard form.". The original sentence "600,000 + 50,000 + 2,000 + 400 + 30 + 7 = 625,437 in standard form." contained an error that needed to be fixed.
3. Fix the sentence:
In 1,208,564, the digit 2 is in the ten-thousands place with a value of 20,000.
Corrected: In 1,208,564, the digit 2 is in the hundred-thousands place with a value of 200,000.
The corrected sentence is: "In 1,208,564, the digit 2 is in the hundred-thousands place with a value of 200,000.". The original sentence "In 1,208,564, the digit 2 is in the ten-thousands place with a value of 20,000." contained an error that needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In 724,350, the value of the digit 7 is 700,000
The digit 7 is in the hundred-thousands place. Its value is 7 × 100,000 = 700,000.
2. The number 90,000 + 4,000 + 300 + 50 + 1 in standard form is 94,351
Add each part: 90,000 + 4,000 = 94,000; + 300 = 94,300; + 50 = 94,350; + 1 = 94,351.
3. In 3,560,812, the digit 5 is in the hundred-thousands place.
Starting from the right: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands. The 5 occupies the hundred-thousands position.
4. The value of the digit 8 in 185,409 is 80,000
The digit 8 is in the ten-thousands place. Its value is 8 × 10,000 = 80,000.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Write the number 2,045,300 in expanded form.
Sample answer: 2,000,000 + 40,000 + 5,000 + 300. Each digit is multiplied by the value of its place.
2,045,300 = 2,000,000 + 0 + 40,000 + 5,000 + 300 + 0 + 0. Zeros are typically omitted from expanded form.
2. How do you determine the value of a digit in a number?
Sample answer: Look at which place the digit occupies, such as ones, tens, hundreds, or thousands, and multiply the digit by that place value.
A digit's value = digit × place value. For example, 6 in the thousands place = 6 × 1,000 = 6,000.