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?

Rationale

The place value of the underlined 5 is 10,000 times larger than the place value of the 5 with no underline.

In the number 345.792, the underlined 5 is in the ten-thousands place, while the unmarked 5 is in the units place. This difference in position means that the underlined 5 represents 50,000, whereas the unmarked 5 represents just 5, leading to a comparative ratio of 10,000.

A (1000) YOUR ANSWER

This choice suggests that the underlined 5 is 1,000 times larger than the unmarked 5. However, since the underlined 5 is in the ten-thousands place (50,000) and the unmarked 5 is in the units place (5), the actual ratio is much larger than 1,000.

B (5000) YOUR ANSWER

Selecting 5,000 implies that the underlined 5 is only 5,000 times larger than the unmarked 5. Again, this is incorrect because the underlined 5 in the ten-thousands place represents 50,000, while the unmarked 5 represents 5, resulting in a ratio of 10,000, not 5,000.

C (10000) CORRECT

This choice accurately states that the underlined 5 is 10,000 times larger than the unmarked 5. To clarify, the underlined 5 is in the ten-thousands place (50,000), and the unmarked 5 is in the units place (5). Thus, when dividing 50,000 by 5, the result is indeed 10,000.

D (50000) YOUR ANSWER

Choosing 50,000 would suggest the underlined 5 is 50,000 times larger than the unmarked 5. This is a misunderstanding of the place value concept, as the underlined 5 represents 50,000, and the unmarked 5 represents only 5. The ratio is not a direct comparison of their values but rather how many times one fits into the other.

Conclusion

The comparison of place values reveals that the underlined 5 is 10,000 times larger than the unmarked 5 due to the positional difference in the number 345.792. Understanding place value is crucial in grasping how these numerical representations interact, emphasizing the significance of each digit's position in determining its overall value.

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?

The place value of the underlined 5 is 10,000 times larger than the place value of the 5 with no underline.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test