Problem 350 - Prealgebra

Question

Translate from math notation to words. $$72 \div 8

Step-by-Step Solution

Answer

'72 divided by 8.'

Step 1: Identify the Symbols

Recognize that the symbol \( \div \) stands for division.

Step 2: Translate Each Part

Interpret the equation part by part. The number 72 is the dividend, and the number 8 is the divisor.

Step 3: Formulate the Phrase

Put it all together: '72 divided by 8.'

Key Concepts

Division

Division is one of the basic operations in math, represented by the symbol \( \div \). When you see this symbol, it means you are being asked to split a number into equal parts.
For example, in the exercise \(72 \div 8\), we are splitting 72 into 8 equal parts.
Here are some key terms to remember:

• Dividend: The number you want to divide (in this case, 72).
• Divisor: The number you are dividing by (in this case, 8).
• Quotient: The result of the division.

Understanding these terms can make division problems simpler. In our example, 72 is the dividend, 8 is the divisor, and the quotient is what we get once we divide 72 by 8.

Translate Mathematical Expressions

Translating mathematical expressions into words can make them easier to understand. Let's break down our example step-by-step.
First, recognize the components of the expression. In the expression \(72 \div 8,\) the \( \div \) symbol indicates division.
Next, identify the different parts of the equation:

• 72 is the dividend
• 8 is the divisor

Now, translate it into words: the expression \(72 \div 8\) becomes '72 divided by 8.'
This process is like translating a sentence from one language to another; you are converting symbols and numbers into understandable phrases.

Understanding Symbols in Math

Math symbols are a shorthand way to represent operations and relationships between numbers. Knowing what these symbols mean is crucial for solving math problems. For instance, the division symbol \( \div \) tells us to divide one number by another.
Here's a quick rundown of some common math symbols:

• \( + \): Addition
• \( - \): Subtraction
• \( \cdot \) or \( \times \): Multiplication
• \( \div \): Division
• \( = \): Equals

Understanding what these symbols mean and how to use them allows you to translate math problems into words easily.
In our example, we saw the division symbol \( \div \), helping us understand that we need to divide 72 by 8.
This awareness simplifies solving math problems and translates mathematical expressions into simple sentences.