Problem 116 - Prealgebra

Question

In the following exercises, translate each phrase into math notation and then simplify. $$ \text { the total of } 593 \text { and } 79$$

Step-by-Step Solution

Answer

593 + 79 = 672

Step 1 - Understand the phrase

Identify the operations mentioned in the phrase. The phrase 'the total of 593 and 79' means that we need to add the two numbers, 593 and 79.

Step 2 - Translate into math notation

Convert the words into a mathematical expression. Here, 'the total of 593 and 79' translates to the equation: 593 + 79

Step 3 - Simplify the expression

Perform the addition operation to simplify the expression: 593 + 79 = 672

Key Concepts

Addition

In basic arithmetic, addition is one of the four fundamental operations. It's used to calculate the total or sum of numbers. In this exercise, the phrase 'the total of 593 and 79' directly signals that we need to perform an addition.

To add two numbers together:

• Identify the numbers: 593 and 79.
• Use the plus symbol (+) to show the addition: 593 + 79.
• Add the numbers to get the total: 593 + 79 = 672.

Addition is straightforward when you're working with whole numbers like these, and no further steps are typically necessary.

Math Translation

Math translation involves converting words into mathematical notation. This step is crucial for understanding and solving word problems. In this exercise, the phrase 'the total of 593 and 79' needs to be translated into a math equation.

Let's break it down:

• 'the total of' indicates an addition operation.
• 593 and 79 are the numbers being added.

So, the phrase 'the total of 593 and 79' translates to the equation:

593 + 79.
Math translation helps transform verbal descriptions into a format that can be easily worked with, especially in calculations.

Simplification

Simplification in math refers to combining or reducing expressions into their simplest form. In the case of this exercise, simplifying means performing the addition operation to find the sum of 593 and 79.

Here’s how to simplify step-by-step:

• First, write down the math equation: 593 + 79.
• Next, perform the addition. You can do this either mentally, using paper and pencil, or with a calculator.
• Combine the numbers: 593 + 79 = 672.

Hence, the simplified form of the math expression 593 + 79 is 672. Simplification makes it easier to understand and work with mathematical expressions by reducing them to their most straightforward form.