Problem 34 - Prealgebra

Question

Write a numerical expression for each verbal phrase. the total amount of CDs if Sancho has 4 and Brianna has 5

Step-by-Step Solution

Answer

The numerical expression is \(4 + 5\).

Step 1: Identify the problem

We need to find the total number of CDs by adding the CDs owned by Sancho and Brianna.

Step 2: Translate the verbal phrase

Sancho has 4 CDs, and Brianna has 5 CDs. The phrase 'the total amount of CDs' means we should add these two amounts.

Step 3: Write the numerical expression

To find the total number of CDs, we need to write the expression that adds the two quantities: \[ 4 + 5 \].

Key Concepts

Verbal to Numerical Conversion

Converting verbal phrases to numerical expressions is a crucial skill in mathematics, as it helps bridge the gap between language and numerical reasoning. In this exercise, we begin by reading the phrase: "the total amount of CDs if Sancho has 4 and Brianna has 5." The numbers mentioned, 4 and 5, are already given, and we must understand the action described by the word "total."

• The word "total" indicates that we need to combine or sum the values mentioned.
• Our goal is to find a number sentence—that is, a numerical expression—that reflects the same meaning as the verbal phrase.

Additionally, common words in math problems such as "sum," "total," and "plus" often signal addition. Recognizing these cues is essential to accurately convert verbal statements into numerical expressions, ensuring a clear understanding of the mathematical operations involved.

Addition in Arithmetic

Addition is one of the fundamental operations in arithmetic, used to calculate the total of two or more numbers. In our exercise, we were tasked with finding the total number of CDs owned by Sancho and Brianna, which requires performing an addition operation.

• Start by identifying the numbers involved: Sancho has 4 CDs, and Brianna has 5 CDs.
• Next, apply the addition operation: \[4 + 5\]
• Calculate the sum by adding the numbers: 4 plus 5 equals 9.

The result, 9, represents the total amount of CDs. When working with addition, remembering the commutative property—where the order of numbers does not affect the sum—is valuable. This ensures flexibility in calculation, reinforcing understanding that \[4 + 5\] and \[5 + 4\] both yield the same result.

Basic Arithmetic Skills

Building a solid foundation in basic arithmetic skills is essential for students to tackle more complex mathematical problems. This exercise focused on adding numbers, beginning with the simple task of combining two quantities. Here are some key tips to master basic arithmetic skills:

• Practice regularly: Consistent practice helps reinforce arithmetic operations and improve speed and accuracy.
• Use real-life scenarios: Applying math problems to everyday situations, like adding the number of CDs, makes learning more relatable.
• Explore patterns: Recognizing patterns in numbers, like how adding zeros or tens affects sums, strengthens number sense.

By developing these strategies, students can enhance their competency in arithmetic, building confidence to progress and engage with more advanced math concepts. Solid arithmetic skills serve as the building blocks for future success in mathematics.