Order of Operations in Expressions

The video tutorial by Only He Tall from Achieve in Math focuses on simplifying numeric expressions by following the order of operations. It emphasizes the importance of correctly applying the order of operations to avoid mistakes. The tutorial includes three example problems: a basic operation, a complex expression, and a fractional expression, each demonstrating the step-by-step process of solving using the order of operations. The video concludes with a reminder to always follow the order of operations for accurate results.

Why is it important to follow the order of operations when simplifying numeric expressions?

• To ensure the result is consistent and correct.

• To make the expression look more complex.

• To confuse the person solving the problem.

• To make the calculation faster.

What is the first step in the order of operations?

• Exponents

• Parentheses

• Multiplication and Division

• Addition and Subtraction

Which operation should be performed after parentheses according to the order of operations?

• Multiplication and Division

• Exponents

• None of the above

• Addition and Subtraction

What is the correct order of operations to follow when simplifying expressions?

• Addition, Subtraction, Multiplication, Division, Exponents, Parentheses

• Multiplication, Division, Addition, Subtraction, Exponents, Parentheses

• Exponents, Parentheses, Addition, Subtraction, Multiplication, Division

• Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

In the expression 4 + 5 * 6, what is the correct order of operations?

• Add 4 and 5, then multiply by 6

• Multiply 4 and 5, then add 6

• Multiply 5 and 6, then add 4

• Add 4 and 6, then multiply by 5

What is the correct result of the expression 4 + 5 * 6?

• 9

• 30

• 34

• 54

What is the result of the expression 4 + 5 * 6 if the order of operations is not followed?

• 34

• 54

• 30

• 9

In the expression 3 * (4 + 5) / 9 - 4 * 2^3, what should be calculated first?

• 9 - 4

• 2^3

• 4 + 5

• 3 * 9

What is the value of 2^3 in the expression 3 * (4 + 5) / 9 - 4 * 2^3?

• 6

• 8

• 12

• 9

After solving the parentheses and exponents in 3 * (4 + 5) / 9 - 4 * 2^3, what is the next step?

• Multiply 4 and 8

• Divide 27 by 9

• Add 3 and 9

• Subtract 4 from 9