Question

a teacher wrote the following number on the board. one digit is circled, and another digit is underlined 99,999. which statement about the circled digit is correct? a the value of the circled digit is 50 times the value of the underlined digit. b the value of the circled digit is 10 times the value of the underlined digit. c the value of the circled digit is 1/10 of the value of the underlined digit. d the value of the circled digit is 1/50 of the value of the underlined digit.

Explanation:

Step1: Identify place - values

The underlined digit 9 is in the thousands place, so its value is $9\times1000 = 9000$. The circled digit 9 is in the hundreds place, so its value is $9\times100=900$.

Step2: Find the ratio

To find how many times the value of the circled digit is of the underlined digit, we calculate the ratio $\frac{900}{9000}=\frac{1}{10}$.

Answer:

C. The value of the circled digit is $\frac{1}{10}$ of the value of the underlined digit.