Order of Operations and Basic Arithmetic

The video tutorial explains how to evaluate mathematical expressions using the order of operations. It covers four different expressions, demonstrating the steps of simplifying exponents, performing multiplication and division from left to right, and handling parentheses. Each expression is verified using a calculator to ensure accuracy.

What is the first step in evaluating an expression using the order of operations?

• Add and subtract from left to right

• Simplify exponents

• Perform multiplication and division

• Evaluate expressions inside parentheses

In the expression 4 * 5^2 * 8 / 2, what is the result of simplifying 5^2?

• 25

• 10

• 15

• 20

After simplifying 5^2 to 25, what is the next step in the expression 4 * 25 * 8 / 2?

• Subtract 2 from 8

• Divide 8 by 2

• Multiply 4 by 25

• Add 4 and 25

What is the result of 100 divided by 25?

• 5

• 2

• 3

• 4

In the expression 12 + 30 / 6 * 9, what is the result of 30 divided by 6?

• 3

• 4

• 5

• 6

What is the result of multiplying 5 by 9 in the expression 12 + 5 * 9?

• 35

• 40

• 45

• 50

In the expression 8 / 2 * 6 - 5^2, what is the result of 5^2?

• 15

• 20

• 25

• 30

What is the result of 8 divided by 2 in the expression 8 / 2 * 6?

• 3

• 5

• 2

• 4

In the expression 4 * 6 - 25, what is the result of 4 multiplied by 6?

• 32

• 28

• 24

• 20

What is the final result of the expression 24 - 25?

• 0

• -1

• 1

• 2