Give the place value of the underlined digit. Write your answer on the space provided. 9.48 725- 10.496 634- 11.902 876-
The Correct Answer and Explanation is:
Here are the place values for the underlined digits in the provided numbers:
- 9.48 725 – The underlined digit is 7, which is in the hundreds place. Its place value is 700.
- 10.496 634 – The underlined digit is 9, which is in the ten-thousands place. Its place value is 90,000.
- 11.902 876 – The underlined digit is 2, which is in the thousands place. Its place value is 2,000.
Explanation:
Place value is a fundamental concept in mathematics that determines the numerical value of a digit based on its position within a number. Each digit in a multi-digit number holds a distinct value depending on whether it is in the ones, tens, hundreds, thousands, or higher positional places. The significance of place value lies in its role in performing arithmetic operations, understanding number magnitude, and solving complex numerical problems.
In the number 48,725, the digit 7 is in the hundreds place. Since the hundreds place represents the third position from the right, the digit 7 holds a value of 700, obtained by multiplying 7 × 100.
In the number 496,634, the digit 9 is in the ten-thousands place. This position indicates a value of 90,000, derived from 9 × 10,000.
In the number 902,876, the digit 2 is in the thousands place. Since thousands are the fourth positional tier in a five-digit number, its place value is 2,000, calculated as 2 × 1,000.
Recognizing place value enhances numerical fluency and strengthens problem-solving skills, particularly in rounding, addition, subtraction, and estimation. The concept is crucial for developing advanced mathematical understanding and is widely applied in engineering, scientific calculations, and financial analysis. Mastery of place value enables efficient computation and reinforces the structured representation of numbers across various disciplines.
