Why do we simplify numeric expressions

The video tutorial explains the importance of simplifying mathematical expressions to make calculations easier and more efficient. The instructor emphasizes that simplification helps avoid unnecessary complexity and clutter in problem-solving. Through examples, the video demonstrates how to simplify numeric expressions using basic arithmetic operations and the order of operations (PEMDAS). The tutorial also covers more advanced simplification techniques involving square roots and division, highlighting the benefits of reducing expressions to their simplest form.

Why do mathematicians prefer to simplify expressions?

• To avoid dealing with unnecessary numbers

• To make calculations more complex

• To increase the number of steps in a problem

• To make problems harder to solve

What is the result of simplifying 4 squared?

• 8

• 12

• 20

• 16

In the example using PEMDAS, what is the final simplified result of the expression 2 * (7 * 3 - 4)?

• 42

• 38

• 34

• 28

What is the simplified result of the expression inside the square root: 9 * sqrt(5^2 - 9) / 3?

• 4

• 8

• 12

• 16

How many times does 3 go into 36 in the final step of the square root example?

• 13

• 12

• 11

• 10