The difference between the place values of 7 and 3 in the number 527435 is:
2021
The difference between the place values of 7 and 3 in the number 527435 is:
- A.
4070
- B.
6790
- C.
3690
- D.
6970
Attempted by 57 students.
Show answer & explanation
Correct answer: D
Concept
The place value of a digit is the digit multiplied by the value of the position it occupies (units, tens, hundreds, thousands, and so on). This is different from its face value, which is just the digit itself. To find a difference of place values, compute each digit's place value separately and subtract.
Application
Write the number 527435 with the position weight under each digit, reading right to left:
Digit | Position | Place value |
|---|---|---|
7 | Thousands | 7 x 1000 = 7000 |
3 | Tens | 3 x 10 = 30 |
Place value of 7 = 7 x 1000 = 7000.
Place value of 3 = 3 x 10 = 30.
Difference = 7000 - 30 = 6970.
Cross-check
Add the smaller place value back: 6970 + 30 = 7000, which is the place value of 7. The arithmetic is consistent, so the difference is 6970.