Problem 227 - Prealgebra

Question

In the following exercises, translate from math notation to words. $$5 \cdot 12$$

Step-by-Step Solution

Answer

Five multiplied by twelve.

Step 1 - Identify the Numbers

Recognize the numbers in the given mathematical expression. Here, the numbers are 5 and 12.

Step 2 - Understand the Operation

Determine the mathematical operation being used. In this expression, the dot symbol (·) represents multiplication.

Step 3 - Translate to Words

Combine the numbers and the operation into a phrase. The expression can be translated to 'five multiplied by twelve'.

Key Concepts

Basic Arithmetic

Arithmetic is the branch of mathematics dealing with basic number operations. These operations form the foundation of more advanced mathematical concepts and are used in daily life.
In this context, operations include addition, subtraction, division, and multiplication.
Arithmetic is important for problem-solving and logical reasoning skills.
Understanding arithmetic helps you do tasks like budgeting, shopping, and cooking.
It is essential in developing the ability to think quantitatively and analyze information critically.

Math Operations

Math operations are actions performed on numbers to get a result. There are four main types:

• Addition ( + ): Combining two or more numbers to get a total.
• Subtraction ( - ): Taking away one number from another.
• Multiplication ( · or × ): Repeated addition of a number as many times as specified by another number.
• Division ( ÷ or / ): Splitting a number into equal parts.

Knowing these operations helps us translate and solve mathematical expressions.
In our exercise, the operation used is multiplication, indicated by the dot symbol (·). Properly understanding each math operation is crucial for mathematical fluency.

Multiplication

Multiplication is one of the primary mathematical operations. It involves taking one number and adding it to itself a certain number of times.
For example, the expression 5 · 12 means that we are adding the number 5 to itself 12 times.
The result of multiplication is called the product.

• 5 · 12 can be written as 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 60.

Another way to say this is 'five multiplied by twelve'.
Multiplication allows us to simplify and solve problems involving repeated addition quickly. This operation is vital, especially in areas requiring calculations, like science, engineering, and finance.