SAT: Questions

The two negative signs cancel each other out, and we're left with a positive number. Two positive numbers aren't going to add up to zero, so statement III is false. Choice (A) is the correct answer.

Let's start with statement I.

5 25

reduces to

1 5

and

1 5

+

(

-

1 5

)

=

1 5

-

1 5

=

0

. Statement I is true - eliminate choices

(B) and (E).

Look at statement II carefully.

-

1 23

is very close to zero, while

23 is a much larger number. These two, when added together,

won't cancel out. We'd need to add -23 to 23 to get zero, and

we'd need to add

1 23

to

-

1 23

to get zero. Statement II is false.

Eliminate choice (C).

For statement III, we need to simplify

-18 -24

:

The two negative signs cancel each other out, and we're left with a positive number. Two positive numbers aren't going to add up to zero, so statement III is false. Choice (A) is the correct answer.

-18 -24

=

-1 -1

×

18 24

=

1

×

3 4

=

3 4