Problem 228 - Prealgebra

Question

In the following exercises, translate from math notation to words. $$3 \cdot 9$$

Step-by-Step Solution

Answer

Three multiplied by nine.

Step 1: Identify the Numbers

Recognize the numbers involved in the mathematical notation. Here, the numbers are 3 and 9.

Step 2: Identify the Operation

Determine the operation being performed between the numbers. The symbol \( \cdot \) represents multiplication.

Step 3: Translate to Words

Combine the numbers and the operation to express the math notation in words. In this case, it would be 'Three multiplied by nine.'

Key Concepts

Math Notation

Mathematics has a unique language, and at its core lies math notation. This 'language' uses symbols and numbers to represent operations and relationships. For instance, in the exercise, we see the notation $$3 \cdot 9$$.
Here, '3' and '9' are numbers, and the symbol '∗' indicates multiplication. Understanding math notation involves recognizing these symbols and interpreting what they represent.
By converting these notations into words, we make the math operations clearer and more intuitive.

Translation to Words

Translating mathematical notation to words can simplify understanding. Instead of seeing symbols and numbers, you express them in everyday language.
Let's break down the example given in the exercise:

• Identify the numbers first: 3 and 9.
• Identify the operation: The dot '∗' means multiplication.

Now, we can construct a sentence to explain the notation. So, $$3 \cdot 9$$ translates to 'Three multiplied by nine'.
This step-by-step translation helps in making the concept more relatable, especially for students who find math symbols intimidating.

Multiplication

Multiplication is a fundamental arithmetic operation. It involves adding a number to itself a certain number of times. For example, $$3 \cdot 9$$ means adding 3 to itself 9 times.
Here’s a simple way to understand it:

• 3 multiplied by 9 is the same as 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3.
• This repeated addition results in 27.

Multiplication is useful in many scenarios, such as calculating areas, finding total items, and solving various real-life problems.
Learning to translate and perform multiplication helps build a strong foundation for more complex math concepts.