Question

A client's water intake is \(1.05 \mathrm{~L}, 0.65 \mathrm{~L}, 2.05 \mathrm{~L},\) and \(0.8 \mathrm{~L}\). What is the total intake in liters? ______

Short answer

The total intake is 4.55 liters.

Step-by-step solution

Identify Each Water Intake Amount

Review the given amounts of water intake by the client. These amounts are: \(1.05\, \text{L}\), \(0.65\, \text{L}\), \(2.05\, \text{L}\), and \(0.8\, \text{L}\).

Sum the Water Intake Amounts

Add up all the water intake values to find the total water intake. Calculate as follows: \(1.05 + 0.65 + 2.05 + 0.8\).

Perform the Calculation

Calculate the sum: \(1.05 + 0.65 + 2.05 + 0.8 = 4.55\).

Total Water Intake Result

The total water intake is the sum of all given amounts, which is \(4.55\, \text{L}\).

Key concepts

Addition

Addition is one of the basic arithmetic operations used for combining numbers or quantities. In our exercise, we are calculating the total water intake by adding together multiple measurements. Addition is fundamental in everyday life, from shopping totals to daily nutrition tracking.

To perform addition, ensure each number is correctly aligned by its decimal point. This guarantees that tens are added to tens, and so on. Here, we added four different amounts of water to get the total:

• Start with the first two amounts: \[1.05 + 0.65 = 1.70\].
• Continue this process, adding the next value:\[1.70 + 2.05 = 3.75\].
• Finally, add the last amount:\[3.75 + 0.80 = 4.55\].

This step-by-step method ensures accuracy, especially when dealing with decimal points.

Measurement Units

Measurement units are used to give quantities meaning, allowing us to understand and communicate amounts accurately. In this exercise, we're dealing with liters (L), a unit used to measure volume, particularly liquids.

A liter is commonly used in contexts such as cooking, science, and everyday tasks like measuring drinks. Knowing how to work with liters and their conversions (e.g., milliliters, where 1 L = 1000 mL is essential for various applications.

When adding or subtracting measurements, it’s crucial to ensure all quantities share the same unit. Mixing units without conversion leads to errors. Consistency in units simplifies calculations and ensures accuracy in the final result. Thus, ensuring all measurements are in liters was crucial before solving our initial problem.

Problem-Solving

Problem-solving is a critical thinking process essential for finding solutions to various issues or calculations. It involves several steps, including identifying relevant information, choosing strategies, executing them, and interpreting results.

In the provided exercise, the problem-solving approach starts with identifying the main task—calculating the total water intake. The next step involves organizing this information clearly and then applying proper arithmetic operations to reach the solution.

• **Identify the Goal**: Understand what you need to find (total water intake).
• **Collect Data**: Gather relevant numbers accurately (\[1.05, 0.65, 2.05, 0.80\]).
• **Execute Calculations**: Use addition to combine values effectively.
• **Review and Confirm**: Double-check calculations to guard against errors.

Effective problem-solving often involves checking your work and interpreting results sensibly. In this case, recognizing that the combined value signifies total water intake in liters helps validate the answer.

Basic Arithmetic Operations

Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations form the building blocks of mathematics, enabling us to solve a wide range of problems from simple to complex.

Understanding each operation is crucial:

• **Addition**: Combines quantities.
• **Subtraction**: Finds differences between numbers.
• **Multiplication**: Determines total count of equal groups.
• **Division**: Splits quantities into equal parts.

In our example, addition is used to find a cumulative total, contributing to a deeper insight into how arithmetic applies to everyday scenarios like tracking water intake. Practicing these operations improves mathematical fluency, which is vital across all math-related activities. Each operation has rules and interactions with others, making it important to master them.