Integers Test - 7

- 7 + {(- 5) - (- 2)}
= - 7 + {- 5 + 2}
= - 7 - 3
= - 10

We can arrange the given integers in increasing order as follows.
- 89 < - 85 < - 67 < - 52
So, smallest integer is - 89.

Sum = 14 + (- 33 - 53 - 78)
= 14 - 164
= - 150

Statement (1) is true because whole number starts from 0, 1, 2, 3, ... and these numbers are also integers.
So, every whole number is an integer.

Statement (2) is incorrect. Every fraction cannot be expressed as an integer. For example - we cannot write 3/4 as an integer.

Also, statement (3) is false because integers can be positive, negative or zero.

LHS: - 9 - (- 6 - 3)
= - 9 - (- 9)
= - 9 + 9 = 0

RHS: (- 9 - (- 6)) - 3
= (- 9 + 6) - 3
= - 3 - 3 = - 6

Therefore,
0 > - 6
LHS > RHS


Also, {- 9 - (- 6 - 3)} > {(- 9 - (- 6)) - 3}

An integer is a whole number (not a fractional number) that can be positive, negative or zero.
So, largest negative integer is - 1.

{- 4 - (- 7) - 2} = - 1 is incorrect because if we will solve {- 4 - (- 7) - 2}, we get
{- 4 - (- 7) - 2} = - 4 + 7 - 2 = 7 - 6 = 1
Hence, equation in option (3) is false.

We know that as we move from left side to right side on the number line, numbers increase and from right to left, numbers decrease.
On observing all the options by using a number line, we get that there is only one pair (- 7, - 1) in which the first integer is not on the right of the other integer.