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1 thousand, 2 hundreds, and 60 tens

The decomposition of the number 1260 can be accurately expressed as 1 thousand, 2 hundreds, and 60 tens, clearly breaking down the value into its component parts.

A) 12 hundreds and 6 tens

This option incorrectly represents the number 1260 as 12 hundreds (which equals 1200) and 6 tens (which equals 60), adding up to 1260. However, it fails to utilize the thousands place correctly, thus misrepresenting the number's decomposition.

B) 11 hundreds and 60 tens

Option B states 11 hundreds (1100) and 60 tens (600), which totals 1700. This is an incorrect decomposition of 1260, as it exceeds the original value and does not account for the thousands place properly.

C) 1 thousand and 26 hundreds

This option breaks down 1260 into 1 thousand (1000) and 26 hundreds (2600), totaling 3600. This option is incorrect as it significantly exceeds 1260, showing a misunderstanding of the place value system.

D) 1 thousand, 2 hundreds, and 60 tens

This option correctly decomposes 1260 into 1 thousand (1000), 2 hundreds (200), and 60 tens (600), which together sum to 1260. It accurately reflects the value of the number by utilizing all relevant place values.

Conclusion

Option D is the only correct decomposition of the number 1260, accurately breaking it down into its constituent parts of thousands, hundreds, and tens. The other options fail to represent the correct values or exceed the total, demonstrating a misunderstanding of numerical decomposition.