12. Of the numbers listed above, which number is the greatest? The numbers are 2/3, -0.7, -1.3, and -4/3.
Answer: A
2/3 is the greatest number among the options provided.
2/3, which is approximately 0.67, is greater than all the other numbers listed, making it the highest value in the set.
A) 2/3 (0.67)
This option is the correct choice since 2/3 is a positive fraction that equals approximately 0.67. In comparison to the other numbers, it is the only positive value and surpasses the negative numbers significantly.
B) -0.7 (-0.7)
Option B is incorrect because -0.7 is a negative number, which is less than 2/3. Negative values are always lesser than positive values, establishing that -0.7 cannot be the greatest.
C) -1.3 (-1.3)
This option is also incorrect as -1.3 is negative and further from zero than -0.7. Thus, it is less than both -0.7 and 2/3, confirming it is not the greatest.
D) -4/3 (-1.33)
Option D is the smallest value among the choices, as -4/3 is approximately -1.33. Being a negative number that is less than -1.3, this option clearly is not the greatest.
Conclusion
In conclusion, 2/3 stands out as the greatest number due to its positive value, while all other options are negative and therefore lesser in magnitude. As such, the other options fail to meet the criteria of being the greatest number among the ones listed.