### Task 1: Write all the integers between the given pair of integers in decreasing order.

a. -2 and 10

b. 0 and 8

c. -45 and -32

d. -6 and 5

### Task 2: Which temperature is higher? Write it down.

a. [tex]-10^{\circ} C[/tex] or [tex]-100^{\circ} C[/tex]

b. [tex]45^{\circ} C[/tex] or [tex]-45^{\circ} C[/tex]

c. [tex]-20^{\circ} C[/tex] or [tex]0^{\circ} C[/tex]

### Task 3: Arrange the following integers in ascending and descending order:

[tex]\[ -32, -102, 38, -10, 35, 27, 0, -19 \][/tex]

### Task 4: Arrange the following scores of different teams in football matches in decreasing order:

[tex]\[ 3, -2, 0, 8, -19, 20, -4, -11 \][/tex]

### Task 5: From the following figure, arrange the temperatures (in [tex]^{\circ} C[/tex]) in ascending order and name the city with the highest and lowest temperatures.



Answer :

Let's break down the solution step-by-step:

### 2. Write all the integers between the given pair of integers in decreasing order.

#### a. -2 and 10

We want to list all integers between -2 and 10 in decreasing order, excluding the boundary values:

- The integers between -2 and 10 (exclusive) are: -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
- In decreasing order, they are: 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

So, the result is: [9, 8, 7, 6, 5, 4, 3, 2, 1, 0]

#### b. 0 and 8

We want to list all integers between 0 and 8 in decreasing order, excluding the boundary values:

- The integers between 0 and 8 (exclusive) are: 1, 2, 3, 4, 5, 6, 7
- In decreasing order, they are: 7, 6, 5, 4, 3, 2, 1

So, the result is: [7, 6, 5, 4, 3, 2, 1]

#### c. -45 and -32

We want to list all integers between -45 and -32 in decreasing order, excluding the boundary values:

- The integers between -45 and -32 (exclusive) are: -44, -43, -42, -41, -40, -39, -38, -37, -36, -35, -34, -33
- In decreasing order, they are: -33, -34, -35, -36, -37, -38, -39, -40, -41, -42, -43, -44

So, the result is: [-33, -34, -35, -36, -37, -38, -39, -40, -41, -42, -43, -44]

#### d. -6 and 5

Let's solve this for the new pair of numbers:

- The integers between -6 and 5 (exclusive) are: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4
- In decreasing order, they are: 4, 3, 2, 1, 0, -1, -2, -3, -4, -5

So, the result is: [4, 3, 2, 1, 0, -1, -2, -3, -4, -5]

### 3. Which temperature is higher? Write it down.

#### a. -10°C or -100°C

- Between -10°C and -100°C, the higher temperature is -10°C.

#### b. 45°C or -45°C

- Between 45°C and -45°C, the higher temperature is 45°C.

#### c. -20°C or 0°C

- Between -20°C and 0°C, the higher temperature is 0°C.

### 4. Arrange the following integers in ascending and descending order:

Given list: -32, -102, 38, -10, 35, 27, 0, -19

#### Ascending Order

- Sorted in ascending order, the integers are: [-102, -32, -19, -10, 0, 27, 35, 38]

#### Descending Order

- Sorted in descending order, the integers are: [38, 35, 27, 0, -10, -19, -32, -102]

### Arrange the football scores in decreasing order:

Given football scores: 3, -2, 0, 8, -19, 20, -4, -11

- Sorted in decreasing order, the scores are: [20, 8, 3, 0, -2, -4, -11, -19]

### Arrange the temperatures in ascending order and name the city with highest and least temperatures:

(Note: Since the temperatures and city names are supposed to come from a figure which wasn't provided, we'll assume two temperature values for placeholder purposes.)

Given temperatures: 15°C (City A), 22°C (City B), -5°C (City C), 30°C (City D)

#### Arrange in Ascending Order:

- Sorted ascending, the temperatures are: [-5°C (City C), 15°C (City A), 22°C (City B), 30°C (City D)]

#### Highest and Lowest Temperatures:

- The city with the highest temperature is City D (30°C).
- The city with the lowest temperature is City C (-5°C).