Question

Write each statement using symbols. The sum of 3 and 2 equals 5 .

Short answer

3 + 2 = 5

Step-by-step solution

Identify the Numbers

First, identify the numbers in the statement. The numbers given are 3, 2, and 5.

Understand the Operation

Next, determine the mathematical operation in the statement. The word 'sum' indicates addition.

Set Up the Equation

Write the equation using the numbers and the addition operation: 3 + 2.

Include the Equals Sign

The statement also mentions 'equals'. Therefore, we include the equals sign (=) to complete the equation: 3 + 2 = 5.

Key concepts

Writing Equations

Equations are a fundamental part of algebra. They help us represent statements and relationships between numbers using symbols.
When writing equations, start by identifying the numbers and the operations involved. Then, use those numbers and operations to form a complete mathematical statement.
In our example, the statement 'The sum of 3 and 2 equals 5' is translated into symbols as follows:
[\( 3 + 2 = 5 \)].
This equation accurately expresses the relationship described in the original statement.
Writing equations this way helps simplify and solve problems in a clear, structured manner.

Addition Operation

Addition is one of the basic operations in mathematics. It involves combining two or more numbers to find their total or sum.
For example, in the statement 'The sum of 3 and 2 equals 5', the word 'sum' indicates that we need to perform addition.
The symbol for addition is '+'.
So, we take the numbers 3 and 2 and add them together using the addition symbol:
[\( 3 + 2 \)].
This gives us a sum of 5.
Understanding basic operations like addition is crucial for solving more complex algebra problems.

Mathematical Symbols

Mathematical symbols are essential for writing and understanding equations. They provide a universal language to represent numbers and operations.
In our example, we use the following symbols:

• The number '3'
• The number '2'
• The number '5'
• The addition symbol '+'
• The equals sign '='

The plus sign '+' indicates that we need to add the numbers.
The equals sign '=' shows that what is on the left side of the equation is equal to what is on the right side.
By using these symbols, we can write the statement 'The sum of 3 and 2 equals 5' as
[\( 3 + 2 = 5 \)].
Learn't this symbolic language helps in communicating ideas clearly and solving mathematical problems effectively.