Problem 527 - Prealgebra

Question

Translate from math notation to words. $$8 \times 5$$

Step-by-Step Solution

Answer

Eight times five

Step 1: Identify the Mathematical Symbols

The given expression is written using mathematical symbols: \(8 \times 5\). Identify each part of the expression: 8 and 5 are numbers, and the \(\times\) symbol represents multiplication.

Step 2: Replace Symbols with Words

Replace the \(\times\) symbol with the word 'times'. This gives us: '8 times 5'.

Key Concepts

Multiplication

Multiplication is one of the four basic arithmetic operations. It combines groups of the same size. When we multiply, we are adding a number to itself a certain number of times. For example, in the expression \(8 \times 5\), we are essentially saying that we have eight groups of five.
In this context:

• '\(8 \times 5\)' means we add five, eight times.
• It is the same as saying \(5 + 5 + 5 + 5 + 5 + 5 + 5 + 5\).
• The result of \(8 \times 5\) is 40.

Multiplication helps in quickly finding out how many items we have in total when they are arranged in groups of the same size.

Mathematical Symbols

Mathematical symbols are essential for expressing operations in a concise manner. In the given expression \(8 \times 5\), we use:

• Numbers (8 and 5): These are called operands and they represent the quantities involved.
• Multiplication symbol (\(\times\)): This indicates that the operation we are performing is multiplication.

Understanding the symbols and their meaning is crucial for solving mathematical problems accurately. Each symbol tells us what to do with the numbers.

Word Representation of Math Expressions

Translating mathematical expressions into words can make them easier to understand. For example, the expression \(8 \times 5\) can be translated to:'8 times 5'.
Here’s a simple step-by-step way to do it:

• Identify the numbers and symbols in the expression.
• Replace the mathematical symbols with corresponding words. In this case, replace \(\times\) with 'times'.
• The end result is a word representation of the expression that explains what the expression is doing.

Using words to describe mathematical expressions helps in better understanding and communication of mathematical ideas.