Answer :
Certainly! Let's break down the problem step-by-step to find the total capacity of both tanks.
### Step-by-Step Solution:
1. Understand the Given Values:
- The capacity of the first tank: [tex]\( 1.6 \times 10^1 \)[/tex] liters.
- The capacity of the second tank: [tex]\( 2.5 \times 10^4 \)[/tex] liters.
2. Convert the Scientific Notation to Regular Numbers for Easier Addition:
- The first tank's capacity: [tex]\( 1.6 \times 10^1 = 1.6 \times 10 = 16 \)[/tex] liters.
- The second tank's capacity: [tex]\( 2.5 \times 10^4 = 2.5 \times 10,000 = 25,000 \)[/tex] liters.
3. Add the Capacities of Both Tanks:
- First tank: 16 liters.
- Second tank: 25,000 liters.
Total capacity: [tex]\( 16 + 25,000 \)[/tex] liters.
4. Calculate the Total Capacity:
[tex]\[ 16 + 25,000 = 25,016 \text{ liters} \][/tex]
### Summary
The total capacity of both tanks is [tex]\( 25,016 \)[/tex] liters.
So, the total quantity of the capacities of both tanks when combined is 25,016 liters.
### Step-by-Step Solution:
1. Understand the Given Values:
- The capacity of the first tank: [tex]\( 1.6 \times 10^1 \)[/tex] liters.
- The capacity of the second tank: [tex]\( 2.5 \times 10^4 \)[/tex] liters.
2. Convert the Scientific Notation to Regular Numbers for Easier Addition:
- The first tank's capacity: [tex]\( 1.6 \times 10^1 = 1.6 \times 10 = 16 \)[/tex] liters.
- The second tank's capacity: [tex]\( 2.5 \times 10^4 = 2.5 \times 10,000 = 25,000 \)[/tex] liters.
3. Add the Capacities of Both Tanks:
- First tank: 16 liters.
- Second tank: 25,000 liters.
Total capacity: [tex]\( 16 + 25,000 \)[/tex] liters.
4. Calculate the Total Capacity:
[tex]\[ 16 + 25,000 = 25,016 \text{ liters} \][/tex]
### Summary
The total capacity of both tanks is [tex]\( 25,016 \)[/tex] liters.
So, the total quantity of the capacities of both tanks when combined is 25,016 liters.
