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).
### 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).