Which of the following is a decomposition of the number 1260?

Rationale

1 thousand, 2 hundreds, and 60 tens

This option correctly breaks down the number 1260 into its respective place values, showing that it consists of 1 thousand, 2 hundreds, and 60 tens.

A (12 hundreds and 6 tens) YOUR ANSWER

This option represents a total of 1200 (12 hundreds) plus 60 (6 tens), which sums to 1260. However, it inaccurately represents the number as it does not use a thousand place value; instead, it should illustrate a breakdown that includes thousands.

B (11 hundreds and 60 tens) YOUR ANSWER

This choice adds up to 1100 (11 hundreds) plus 600 (60 tens), equating to 1700. This significantly overshoots the value of 1260 and fails to accurately reflect the decomposition of the number.

C (1 thousand and 26 hundreds) YOUR ANSWER

This option totals 1000 (1 thousand) plus 2600 (26 hundreds), which equals 3600. This is incorrect as it exceeds the value of 1260 and does not properly represent the breakdown of the number.

D (1 thousand, 2 hundreds, and 60 tens) CORRECT

This option gives the precise breakdown of 1260, with 1 thousand (1000), 2 hundreds (200), and 60 tens (600), correctly summing to 1260.

Conclusion

Understanding the decomposition of numbers into their respective place values is essential for mathematical clarity. In this case, option D accurately represents the number 1260 as consisting of 1 thousand, 2 hundreds, and 60 tens, making it the only correct choice among the options provided. The other choices either misrepresent the thousand place or yield incorrect totals, highlighting the importance of precise numerical breakdowns.

Which of the following is a decomposition of the number 1260?

1 thousand, 2 hundreds, and 60 tens

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