Problem 49 - Calculate With Confidence

Question

A client’s sodium intake at one meal was the following: 0.002 gram (g), 0.35 g. How many grams of sodium did the client consume? ___________________________

Step-by-Step Solution

Answer

The client consumed 0.352 grams of sodium.

Step 1: Identify the Sodium Amounts

In the problem, the client consumed two specific amounts of sodium: 0.002 grams and 0.35 grams. We need to find the total sodium intake by adding these two quantities together.

Step 2: Add the Sodium Amounts

To find the total sodium intake, add the two amounts together: \[ 0.002 + 0.35 \]

Step 3: Calculate the Sum

Perform the addition: \[ 0.002 + 0.35 = 0.352 \] So, the total grams of sodium consumed is 0.352 grams.

Key Concepts

Addition in Simple Terms

Addition is one of the basic operations in mathematics. It involves finding the total of two or more numbers. In our sodium example, we have two amounts, 0.002 grams and 0.35 grams, and we want to combine these to find the total.

To add numbers, line them up by their decimal points. Starting from the rightmost number, add each pair of digits vertically. If there are two numbers being added, and a column adds up to a number greater than 9, bring the left digit over to the next column. However, in our small numbers here, this won't be necessary.

When working with decimals in addition, always ensure that each number has the same number of digits after the decimal by adding zeros if necessary. This makes it easier to see which digits are placed above and below each other. For our example, this will be beneficial when we see 0.002 as 0.0020 and 0.35 as 0.3500, aligning the numbers perfectly.

Problem Solving by Breaking Down the Steps

Problem solving is an essential skill in math that helps break down complex questions into manageable steps. Instead of feeling overwhelmed by what seems like a lot to do, you're able to tackle each part one by one.

Let's apply this to our sodium question. Initially, the problem gave us two separate quantities—good practice here is to clearly identify what you need to do with them. Break the problem down:

• Recognize the parts you have (0.002 and 0.35 grams).
• Understand your goal (find total sodium intake).
• Determine the operation needed (addition).
• Perform the addition to reach the solution.

Breaking problems into their key elements can make solving them much easier and eliminates confusion, making complex calculations seem more approachable.

Understanding Decimal Numbers

Decimals represent fractions of whole numbers. They're used frequently in mathematics to denote quantities less than one or to express values more precisely. Understanding how to manipulate decimals is vital for many real-world applications, such as calculating nutritional intake, like in this exercise.

Decimal numbers have a point that separates the whole number part from the fractional part. In the number 0.35, the '0' is the whole number part, essentially noting it's less than 1, while the '35' shows how many parts of 100 we have (35 out of 100, to be precise).

When performing operations with decimal numbers like addition, it's crucial to align the decimal points. This ensures accuracy. As discussed earlier, adding zeros after the decimal fraction helps to visually organize and align values, making calculations straightforward. With practice, dealing with decimals becomes intuitive, allowing you to handle them as seamlessly as whole numbers.