Question

If rational numbers are arranged in ascending order and we increase every number by 7.5 , what will happen to its order?

• A. Order of the first half remains the same, but that of the second half reverses
• B. Order reverses and becomes descending
• C. Order remains the same
• D. First half of the order gets interchanged with the second half

Answer 1

The correct option is C

Order remains the same

If rational numbers are arranged in ascending order and every number is increased/decreased by the same number, then the order of the numbers does not change.
For example, consider the rational numbers arranged in the ascending order, as shown below.
$\frac{2}{5}<\frac{3}{5}<\frac{4}{5}$
Adding 2 to each rational number above, we get,
$\frac{12}{5}(=2.4)<\frac{13}{5}(=2.6)<\frac{14}{5}(=2.8)$