Certainly! Let's go through each part of the problem step-by-step.
### Part (a)
We need to determine the difference in temperature between 1 January and 8 January.
- The temperature on 1 January is [tex]\( +1^{\circ} \text{C} \)[/tex]
- The temperature on 8 January is [tex]\( -4^{\circ} \text{C} \)[/tex]
To find the difference between these temperatures, we subtract the temperature on 8 January from the temperature on 1 January:
[tex]\[
\text{Difference} = (+1^{\circ} \text{C}) - (-4^{\circ} \text{C})
\][/tex]
When subtracting a negative number, it is equivalent to adding the absolute value of that number:
[tex]\[
(+1^{\circ} \text{C}) - (-4^{\circ} \text{C}) = +1^{\circ} \text{C} + 4^{\circ} \text{C} = +5^{\circ} \text{C}
\][/tex]
So, the difference in temperature between 1 January and 8 January is [tex]\( +5^{\circ} \text{C} \)[/tex].
### Part (b)
We need to find the temperature on 22 January, given that it is [tex]\( 5^{\circ} \text{C} \)[/tex] lower than the temperature on 15 January.
- The temperature on 15 January is [tex]\( -3^{\circ} \text{C} \)[/tex]
To find the temperature on 22 January, we subtract [tex]\( 5^{\circ} \text{C} \)[/tex] from the temperature on 15 January:
[tex]\[
\text{Temperature on 22 January} = (-3^{\circ} \text{C}) - (5^{\circ} \text{C})
\][/tex]
Performing the subtraction:
[tex]\[
-3^{\circ} \text{C} - 5^{\circ} \text{C} = -8^{\circ} \text{C}
\][/tex]
So, the temperature on 22 January is [tex]\( -8^{\circ} \text{C} \)[/tex].
