Problem 70 - Prealgebra

Question

Write a numerical expression for each verbal phrase. the total of fourteen and nine

Step-by-Step Solution

Answer

The expression is 14 + 9.

Step 1: Understand the Verbal Phrase

The phrase given is "the total of fourteen and nine." This means we need to find the sum of the numbers fourteen and nine.

Step 2: Convert Words to Numbers

Identify the numbers mentioned in the phrase: fourteen (14) and nine (9).

Step 3: Write the Numerical Expression

To find the total (or sum) of 14 and 9, write the numerical expression: 14 + 9.

Step 4: Final Expression

The numerical expression for "the total of fourteen and nine" is 14 + 9.

Key Concepts

Understanding Verbal Phrases

Verbal phrases are like little puzzles in mathematics. They use words to describe mathematical operations or expressions. Understanding these phrases is crucial in mathematics education. A strong grasp of verbal phrases allows students to translate written problems into numerical expressions.
When you encounter a verbal phrase like "the total of fourteen and nine," it's essential to break it down. The phrase "the total of" signals addition, meaning you need to find the sum of the numbers given. Here, understanding the words helps you turn language into numbers.
By practicing the conversion of verbal phrases to numerical expressions, students develop a crucial skill in problem-solving. It empowers them to tackle real-world problems efficiently. Mastering this allows learners to transition smoothly from words to mathematical expressions, paving the way for easier comprehension of complex problems.

The Concept of Addition

Addition is one of the fundamental operations in mathematics. It involves finding the total or sum when two or more numbers are combined. In the context of our example, when we add fourteen and nine, we are finding their total.
Addition is often signaled by keywords in verbal phrases, such as "total," "sum," "plus," and "increased by." Learning these keywords helps students recognize when addition is needed in a problem.
Addition also follows certain properties. The **commutative property** states that the order in which numbers are added does not change the sum: 14 + 9 is the same as 9 + 14. The **associative property** allows grouping numbers differently without changing the sum. These properties are helpful in various mathematical operations and problem-solving scenarios. Understanding these will give students a strong foundational knowledge of addition.

Importance of Mathematics Education

Mathematics education is fundamental for developing critical thinking and problem-solving skills. Numerical skills learned through exercises involving verbal phrases and operations like addition help students in everyday life and in understanding complex concepts later on.
By learning to translate words into numerical expressions, students gain:

• Improved analytical thinking
• Better problem-solving abilities
• A deeper understanding of how math applies to real-world scenarios

One important goal in mathematics education is making students comfortable with numbers and operations, helping them see the practical applications in daily life. Encouraging these skills ensures that students are well-equipped to face challenges and analyze situations both in academia and beyond.