Which of the following is a decomposition of the number 1,260?

Rationale

I thousand and 26 hundreds.

The number 1,260 can be decomposed as 1 thousand (1,000) plus 26 hundreds (2,600), which collectively sums to 1,260. This decomposition clearly represents the place value of each digit in the number, aligning with the traditional understanding of numerical composition.

A (12 hundreds and 6 tens) YOUR ANSWER

This choice represents 12 hundreds (1,200) and 6 tens (60), which totals 1,260. However, while the total is correct, the phrasing does not accurately reflect the breakdown of the number into thousands and hundreds, making it misleading as a decomposition.

B (12 hundreds and 60 tens) YOUR ANSWER

This option breaks down to 12 hundreds (1,200) plus 60 tens (600), which adds up to 1,800, not 1,260. Therefore, this choice does not represent a valid decomposition of the number 1,260, as it exceeds the intended value significantly.

C (I thousand and 26 hundreds) CORRECT

This choice correctly represents 1,000 (1 thousand) and 260 (26 hundreds) as the decomposition of 1,260. The total aligns perfectly with the original number, making this the only accurate and appropriate decomposition.

D (I thousand, 2 hundreds, and 60 tens) YOUR ANSWER

This option depicts 1 thousand (1,000), 2 hundreds (200), and 60 tens (600), which sums to 1,800. Therefore, this choice inaccurately represents the value of 1,260, rendering it incorrect as a decomposition.

Conclusion

For the number 1,260, the accurate decomposition is 1 thousand and 26 hundreds, which illustrates the correct place value breakdown. Other options either misrepresent the values or do not sum to 1,260, confirming that only option C correctly reflects the decomposition of the number. Understanding these distinctions is essential for grasping numerical representations in various mathematical contexts.

Which of the following is a decomposition of the number 1,260?

I thousand and 26 hundreds.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test