stonecold wrote:
Which of the following numbers is the biggest => [-6/7 , -7/8 , -9/10 , -12/13 , -34/35]
A)-6/7
B)-7/8
C)-9/10
D)-12/13
E)-34/35
If all the numbers are negative, the number that is the largest is the one that will be closest to zero on the number line. Here, that number is -6/7.
Alternate Solution:
If all the numbers are negative, the number that is the largest is the one will the smallest absolute value. Here, that number is -6/7 since |-6/7| = 6/7 which is smaller than the absolute value of any other numbers in the list.
Alternate Solution:
Note that if we have a list of numbers and if we were to add any constant number to each of the numbers on the list, the ordering of the numbers will not change. Let’s add 1 to each of the numbers on the list:
[ 1 - 6/7, 1 - 7/8, 1 - 9/10, 1 - 12/13, 1 - 34/35] = [ 1/7, 1/8, 1/10, 1/13, 1/35]
Since 1/7 is the largest among all the numbers obtained after adding 1 to each of the numbers, -6/7 is the largest among the original numbers.
Answer: A