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Chapter 2: Problem 5

Solve the following multiplication problems. $$ 3 \cdot 3 $$

Short Answer

Expert verified
9

Step by step solution

01

Understand the problem

The problem asks to multiply the number 3 by itself. Mathematically, this is represented as \(3 \times 3\).
02

Set up the multiplication

Write down the multiplication expression: \(3 \times 3\).
03

Perform the multiplication

Multiply the numbers: \(3 \times 3 = 9\).
04

Verify your answer

Double-check the multiplication to ensure it is correct. In this case, \(3 \times 3\) indeed equals 9.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Multiplication
Multiplication is a basic arithmetic operation that helps us find the total when we have a certain number of groups of the same size. In this exercise, we are asked to multiply 3 by 3. Multiplication can be thought of as repeated addition.
For example, multiplying 3 by 3 is the same as adding 3 three times:
3 + 3 + 3 = 9.
This confirms that the multiplication of 3 and 3 indeed equals 9.
Understanding this, we can see that the core purpose of multiplication is to simplify the process of adding the same number multiple times.
Arithmetic Operations
Arithmetic operations like addition, subtraction, multiplication, and division are fundamental in mathematics.
They allow us to perform various calculations, solve problems, and understand more complex math concepts.
In our specific case, multiplication is the operation used to combine the numbers 3 and 3 to get a single result, 9.
These operations are essential tools we use in everyday life, from calculating the total cost of items to solving scientific problems.
Mastering these operations is crucial for success in math and related fields.
Verification of Results
After performing a multiplication problem, it's important to verify the result to ensure accuracy.
To verify the multiplication of 3 by 3, we can use different methods:
- Repeated addition: Add 3 three times (3 + 3 + 3 = 9).
- Using a calculator: Enter 3 multiplied by 3 and check the result.
- Estimation: Knowing that 3 times 3 should be a single-digit number helps confirm it's correct.
Verification gives us confidence in our calculations and helps prevent errors, ensuring that our final answer is accurate and reliable.

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Most popular questions from this chapter

Mark each statement true (T) or false (F). $$ (-1)>(-4) $$

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Mark each statement true (T) or false (F). $$ (-7)<(-5) $$

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