Problem 117 - Prealgebra

Question

In the following exercises, translate each phrase into math notation and then simplify. 1.482 added to 915

Step-by-Step Solution

Answer

916.482

Step 1: Identify the Numbers in the Phrase

The numbers given in the phrase are 1.482 and 915.

Step 2: Translate the Phrase into Math Notation

The phrase '1.482 added to 915' is translated into the mathematical expression: \[ 915 + 1.482 \]

Step 3: Simplify the Math Notation

Now, we add the two numbers together: \[ 915 + 1.482 = 916.482 \]

Key Concepts

Number Identification

Number identification is the first step in solving any math problem. It means recognizing and understanding the numbers within a given problem. For example, in the exercise, we have the phrase '1.482 added to 915'. Here, the numbers we need to work with are 1.482 and 915.
To identify numbers:

• Look for numerical values in the problem.
• Ensure you note both whole numbers and decimals.

This ensures that all parts of the problem are considered before solving.

Math Notation Translation

Translating phrases into mathematical notation is crucial for understanding and solving problems. This involves turning words into math symbols. For instance, in our problem, '1.482 added to 915' can be translated into the math expression: \( 915 + 1.482 \).
Here's how to translate common terms:

• 'Added to' becomes the plus sign \( + \).
• 'Subtracted from' becomes the minus sign \( - \).
• 'Multiplied by' becomes the multiplication sign \( * \text{ or} \times \).
• 'Divided by' becomes the division sign \( \div \text{ or} / \).

Understanding these translations helps in creating a clear math expression from a word problem.

Addition Simplification

Once we have our math notation, the next step is to simplify it. Simplification means performing the actual arithmetic operations to get a single answer. In this case: \( 915 + 1.482 = 916.482 \).
Follow these steps to simplify an addition problem:

• Align the numbers by their decimal points (if any).
• Add each column of numbers starting from the rightmost side.
• Carry over any extra values to the next column (for values over 9).

Checking your work ensures the correct final answer.