Integers Test - 8

Let us go through the answer by taking examples:
Example:
(i) Add 4 to 9 (4 is the positive integer and 9 is the given integer)
= 4 + 9 = 13

13 > 9
(ii) Add 4 to -7 (4 is the positive integer and - 7 is the given integer)
= 4 + (- 7) = 4 - 7 = - 3
- 3 < 4

Thus, we see in the above cases, adding positive integer (4) to both positive and negative integers results in an integer which can be both smaller than and greater than the given number.
So, when a positive integer is added to an integer, the resulting integer is sometimes greater than the given integer. (Not always)

The correct order is given in option (3).
12 > 6 > 0 > - 3 > - 10
The numbers are arranged from biggest to smallest.
12 is the biggest and -10 is the smallest of all the given numbers.

According to question, let the second number be x.
We get,
- 16 + x = - 36
x = - 36 + 16
x = - 20

According to given question,
- 140 + 243 + 16 + 50 - 13 + 32
= 103 + 66 - 13 + 32
= 169 - 13 + 32
= 156 + 32
= 188

For example,
- 5 x 14 = - 70
So, it gives negative result.

Statement (2) is true.

For example, - 15 + 20 = 5
And, - 35 + 20 = - 15
So, sum of a positive and a negative integer sometimes gives a positive result and sometimes a negative result.

Statement 1: The sum of two negative integers sometimes gives negative result, which is false because sum of two negative integers always gives negative integers.
Statement 3: The sum of two positive integers is sometimes positive, which is false because sum of two positive integers is always positive.

Statement 4: The sum of two negative integers is always 0, which is false as well.
Hence, option (2) is correct.

By solving the given expression, we get
(- 2150) - (- 6785)
= - 2150 + 6785 = 4635
Now, 4635 - (- 3102)
= 4635 + 3102
= 7737

Temperature on Monday = - 6°C
Temperature on Tuesday = 8°C
Difference = 8 - (- 6)
= 8 + 6
= 14
So, difference is 14°C.