b) From a tank that contained [tex]8.85 \times 10^5[/tex] liters of water, [tex]3.4 \times 10^3[/tex] liters of water are poured out. Find the quantity of water left in the tank.

c) A bottle of water contains [tex]1.25 \times 10^2[/tex] liters of water. If a carton has [tex]1.15 \times 10^2[/tex] bottles, find the quantity of water in the carton.



Answer :

Certainly! Let's break down the solution step-by-step for each part of the question.

### Part b:

We need to determine the quantity of water left in the tank after some water has been poured out.

1. Initial quantity of water in the tank:
The tank initially contains [tex]\(8.85 \times 10^5\)[/tex] liters of water.

2. Quantity of water poured out:
[tex]\(3.4 \times 10^3\)[/tex] liters of water is poured out.

3. Calculate the quantity of water left in the tank:
To find this, we need to subtract the water poured out from the initial quantity:
[tex]\[ \text{Water left in the tank} = 8.85 \times 10^5 - 3.4 \times 10^3 \][/tex]
According to our calculations, the quantity of water left in the tank is:
[tex]\[ 881600.0 \text{ liters} \][/tex]

### Part c:

We need to determine the quantity of water in a carton of bottles.

1. Quantity of water in one bottle:
Each bottle contains [tex]\(1.25 \times 10^2\)[/tex] liters of water.

2. Number of bottles in the carton:
The carton contains [tex]\(1.15 \times 10^2\)[/tex] bottles.

3. Calculate the total quantity of water in the carton:
To find this, we multiply the quantity of water per bottle by the number of bottles:
[tex]\[ \text{Water in the carton} = 1.25 \times 10^2 \times 1.15 \times 10^2 \][/tex]
According to our calculations, the total quantity of water in the carton is:
[tex]\[ 14375.0 \text{ liters} \][/tex]

Therefore, the answers are:
- Part b: The quantity of water left in the tank is [tex]\(881600.0\)[/tex] liters.
- Part c: The quantity of water in the carton is [tex]\(14375.0\)[/tex] liters.