Question 35

1 thousand, 2 hundreds, and 60 tens

The decomposition of the number 1,260 can be expressed as 1 thousand, 2 hundreds, and 60 tens, which accurately breaks down the number into its place values.

A) 12 hundreds and 6 tens

This option is incorrect because 12 hundreds equate to 1,200, and adding 6 tens (60) results in a total of 1,260, but it does not represent the proper decomposition in terms of thousands, hundreds, and tens.

B) 12 hundreds and 60 tens

This option is also incorrect as 12 hundreds equals 1,200, and 60 tens equals 600, which totals 1,800, exceeding the target number of 1,260.

C) I thousand and 26 hundreds

While this option mentions a thousand, it is incorrect because 26 hundreds equals 2,600, which is significantly greater than 1,260, making it an invalid decomposition.

D) I thousand, 2 hundreds, and 60 tens

This option is correct as it accurately represents the breakdown of 1,260 into its components: 1 thousand (1,000), 2 hundreds (200), and 60 tens (60), which sum up to the correct total.

Conclusion

The correct answer, 1 thousand, 2 hundreds, and 60 tens, effectively represents the decomposition of 1,260 while aligning with the appropriate place value system. All other options fail to accurately break down the number, either exceeding the total or misrepresenting the values.