Which of the following decimals is the largest?

Rationale

0.68 is the largest decimal among the given options.

When comparing decimal values, 0.68 is greater than 0.6, 0.667, and 0.0688, making it the largest decimal in this selection. The comparison involves evaluating the digits to the right of the decimal point, where 0.68 has the highest value.

A (0.6) YOUR ANSWER

0.6 is less than 0.68 because, when comparing decimals, the tenths place is evaluated first. Since 0.6 is equivalent to 0.60, it is clear that 0.68 exceeds it.

B (0.667) YOUR ANSWER

Though 0.667 is larger than 0.6, it is still less than 0.68. The hundredths place is pivotal here; 0.68 has a value of 68 in the hundredths, while 0.667 has only 67, leading to 0.68 being the larger decimal.

C (0.0688) YOUR ANSWER

0.0688 is significantly less than all the other options. The value in the tenths place is only 0, making it the smallest decimal in the list. Thus, it cannot compare favorably against 0.68 or the other higher values.

D (0.68) CORRECT

This option represents the largest decimal in the set. It is greater than 0.6, 0.667, and 0.0688, confirming its status as the highest value when compared directly.

Conclusion

In summary, the comparison of decimals reveals that 0.68 is the largest among the provided options. Each decimal's value was assessed to determine its size, with 0.68 standing out due to its higher place values compared to the others. Understanding decimal comparison is essential in various mathematical contexts, emphasizing the importance of precision in numerical evaluation.

Which of the following decimals is the largest?

0.68 is the largest decimal among the given options.

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