Sure, let's break down the problem step-by-step.
### Part (a): Ordering the Numbers in Ascending Order
First, we need to convert each fractional change into its decimal equivalent for easier comparison:
1. Change for Day 1:
[tex]\[
\frac{-7}{2} = -3.5
\][/tex]
2. Change for Day 2:
[tex]\[
-3 \frac{9}{10} = -3 - \frac{9}{10} = -3 - 0.9 = -3.9
\][/tex]
3. Change for Day 3:
[tex]\[
-3 \frac{23}{25} = -3 - \frac{23}{25} = -3 - 0.92 = -3.92
\][/tex]
4. Change for Day 4:
[tex]\[
-4 \frac{1}{5} = -4 - \frac{1}{5} = -4 - 0.2 = -4.2
\][/tex]
Now, we order these numbers in ascending order (from least to greatest):
[tex]\[
-4.2, -3.92, -3.9, -3.5
\][/tex]
### Part (b): Finding the Difference in the Change of Water Level Between Day 3 and Day 4
To find the difference between the changes on Day 3 and Day 4, we calculate:
Day 3 change:
[tex]\[
-3.92
\][/tex]
Day 4 change:
[tex]\[
-4.2
\][/tex]
The absolute difference:
[tex]\[
|-3.92 - (-4.2)| = |-3.92 + 4.2| = |0.28| = 0.28 \text{ cm}
\][/tex]
### Summary:
- (a) Ordered numbers in ascending order:
[tex]\[
-4.2, -3.92, -3.9, -3.5
\][/tex]
- (b) Difference between the change of water level on Day 3 and Day 4:
[tex]\[
0.28 \text{ cm}
\][/tex]
