1. In the number shown, how many × larger is the place value of the underlined 5 compared with the place value of the 5 with no underline?
Answer: C
The place value of the underlined 5 is 10,000 times larger than the place value of the 5 with no underline.
The underlined 5 is in the ten-thousands place, while the other 5 is in the thousands place. Therefore, the place value of the underlined 5 is 10,000, which is ten times the value of the 5 in the thousands place.
A) 1,000
This option is incorrect because a place value of 1,000 would imply that the underlined 5 is only one place value higher than the other 5. In reality, the underlined 5 represents ten thousand, which is much larger.
B) 5,000
This option is also incorrect. A place value of 5,000 would suggest that the underlined 5 is five times larger than the other 5. However, given the positions of the digits, the underlined 5 is actually ten times larger than the 5 in the thousands place.
C) 10,000
This option is correct. The underlined 5 is in the ten-thousands place, which is indeed 10,000 times larger than the 5 that is in the thousands place. This reflects the positional value of each digit in a numerical representation.
D) 50,000
This option is incorrect because a place value of 50,000 would mean that the underlined 5 is five times larger than what it actually is. The underlined 5's value is actually 10,000 times larger than the other 5, not 50,000.
Conclusion
The correct answer is C) 10,000 because it accurately reflects the difference in place values between the two digits. All other options fail to represent the correct magnitude of the difference, as they either underestimate or misinterpret the positional values of the digits in question.