Order The Expressions From Least To Greatest.1. $5^2$2. $4^2 + 2^2$3. $6^2 - 6$

**Order the Expressions from Least to Greatest** =====================================================

Introduction

In this article, we will explore the concept of ordering expressions from least to greatest. This involves comparing the values of different mathematical expressions and arranging them in a specific order. We will use the given expressions $5^2$, $4^2 + 2^2$, and $6^2 - 6$ to demonstrate this concept.

Understanding the Expressions

Before we can order the expressions, we need to understand what each expression represents.

• $5^2$: This expression represents the square of 5, which is equal to 5 multiplied by itself. In other words, $5^2 = 5 \times 5 = 25$.
• $4^2 + 2^2$: This expression represents the sum of the squares of 4 and 2. In other words, $4^2 + 2^2 = (4 \times 4) + (2 \times 2) = 16 + 4 = 20$.
• $6^2 - 6$: This expression represents the difference between the square of 6 and 6. In other words, $6^2 - 6 = (6 \times 6) - 6 = 36 - 6 = 30$.

Ordering the Expressions

Now that we understand the expressions, we can order them from least to greatest.

• $5^2 = 25$: This is the largest of the three expressions.
• $4^2 + 2^2 = 20$: This expression is smaller than $5^2$ but larger than $6^2 - 6$.
• $6^2 - 6 = 30$: This expression is the largest of the three, but it is actually larger than $5^2$.

However, we made an error in our previous assessment. Let's correct it.

• $5^2 = 25$: This is the largest of the three expressions.
• $6^2 - 6 = 30$: This expression is larger than $5^2$.
• $4^2 + 2^2 = 20$: This expression is the smallest of the three.

Conclusion

In conclusion, the correct order of the expressions from least to greatest is:

1. $4^2 + 2^2 = 20$
2. $5^2 = 25$
3. $6^2 - 6 = 30$

Frequently Asked Questions

Q: What is the square of a number?

A: The square of a number is the result of multiplying the number by itself. For example, the square of 5 is $5^2 = 5 \times 5 = 25$.

Q: How do I order expressions from least to greatest?

A: To order expressions from least to greatest, you need to compare the values of the expressions and arrange them in a specific order. You can do this by evaluating the expressions and comparing their values.

Q: What is the difference between $6^2$ and $6^2 - 6$?

A: The difference between $6^2$ and $6^2 - 6$ is 6. In other words, $6^2 - 6 = 36 - 6 = 30$.

Q: Which expression is the largest of the three?

A: The expression $6^2 - 6 = 30$ is the largest of the three.

Q: Which expression is the smallest of the three?

A: The expression $4^2 + 2^2 = 20$ is the smallest of the three.

Q: How do I evaluate an expression?

A: To evaluate an expression, you need to follow the order of operations (PEMDAS):

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next (e.g., $5^2$).
3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

By following these steps, you can evaluate an expression and determine its value.