Problem 45 - Calculate With Confidence

Question

A client’s water intake is 1.05 liters (L), 0.65 L, 2.05 L, and 0.8 L. What is the total intake in liters? ___________________________

Step-by-Step Solution

Answer

The total intake is 4.55 liters.

Step 1: List the Water Intakes

First, identify and list the amounts of water the client consumed: 1.05 L, 0.65 L, 2.05 L, and 0.8 L.

Step 2: Set up the Addition

Prepare to add all the listed intakes together. Express the total intake as \(1.05 + 0.65 + 2.05 + 0.8\).

Step 3: Perform the Addition

Add the values step-by-step: 1. Add 1.05 and 0.65 to get 1.7. 2. Add 2.05 to 1.7 to get 3.75. 3. Add 0.8 to 3.75 to get 4.55.

Step 4: Verify the Calculation

Double-check the individual addition steps or use a calculator to verify that the sum is correct. Ensure that the result, 4.55 L, accounts for all decimal places accurately.

Key Concepts

Addition Problems

Addition problems are a fundamental part of mathematics and involve combining two or more numbers to find their total. In our everyday lives, addition helps us manage tasks such as budgeting and planning. Solving an addition problem starts by clearly understanding the numbers and the context. In the given exercise, we focus on calculating the total water intake over several daily sessions.

To solve such problems:

• Identify all the values that need to be added together.
• Ensure these values are in compatible units, like liters in our exercise.
• Align numbers correctly if they include decimals for ease of addition.

Addition involves straightforward processes, but precision is key. Especially when adding multiple numbers, keeping track of each step helps avoid errors.

Decimal Addition

Decimal addition may seem tricky at first, but it’s simply about lining up numbers according to their decimal point. When working with decimals, the main goal is to ensure that every digit is in the correct place value:

• Align the Numbers: Place the decimal points of all numbers in a vertical line.
• Fill in Gaps: Use zeros to fill in any gaps for consistent columns.
• Perform Addition: Add starting from the rightmost digit, progressing to the left.

For example, in our exercise with water intakes of 1.05 L, 0.65 L, 2.05 L, and 0.8 L, aligning the decimal digits is crucial to getting the accurate total.

Always check your calculations by reviewing the addition or using a calculator, particularly when decimals are involved. This can prevent small errors from affecting your final results.

Step-by-Step Calculations

Solving calculations step-by-step ensures clarity and accuracy. A step-by-step approach lets you focus on each part of the problem before moving on to the next. This structured method is especially useful in problems involving multiple components or decimal numbers, like the water intake problem.

Each step should be simple:

• Step 1: Listing all necessary numbers or values involved in the calculation.
• Step 2: Setting up the problem in a clear expression, like 1.05 + 0.65 + 2.05 + 0.8.
• Step 3: Performing the addition one piece at a time, for instance:
  • First, add 1.05 and 0.65.
  • Next, add 2.05 to the result.
  • Finally, add 0.8 to achieve the total.

After completing these steps, verifying the calculation ensures correctness and confidence in your result, especially in real-world applications where precision is important.