Podcast
Questions and Answers
What does PEMDAS stand for?
What does PEMDAS stand for?
What is the first step in the order of operations?
What is the first step in the order of operations?
How should multiplication and division be performed?
How should multiplication and division be performed?
What is the order in which exponents should be applied?
What is the order in which exponents should be applied?
Signup and view all the answers
In the expression $3 + 2 imes 5$, what operation should be performed first?
In the expression $3 + 2 imes 5$, what operation should be performed first?
Signup and view all the answers
What is the correct order of operations for the expression $4 - 2(3 + 5)^2$?
What is the correct order of operations for the expression $4 - 2(3 + 5)^2$?
Signup and view all the answers
What is the result of $2 + 3 imes 4 - 6 ÷ 2$ using the order of operations?
What is the result of $2 + 3 imes 4 - 6 ÷ 2$ using the order of operations?
Signup and view all the answers
What does the acronym PEMDAS stand for?
What does the acronym PEMDAS stand for?
Signup and view all the answers
What is the result of $2 imes 4^2 + 20 ext{ ÷ } 4$?
What is the result of $2 imes 4^2 + 20 ext{ ÷ } 4$?
Signup and view all the answers
In the expression $9 ext{ ÷ } 3^2 imes 4 ext{ ÷ } 8 + 1 imes 4 ext{ ÷ } 2 imes 6$, what is the correct result?
In the expression $9 ext{ ÷ } 3^2 imes 4 ext{ ÷ } 8 + 1 imes 4 ext{ ÷ } 2 imes 6$, what is the correct result?
Signup and view all the answers
What is the result of $5 + 3 imes 4^2 ext{ ÷ } 2$?
What is the result of $5 + 3 imes 4^2 ext{ ÷ } 2$?
Signup and view all the answers
What is the value of $2 + 3 imes (4 + 5)^2$?
What is the value of $2 + 3 imes (4 + 5)^2$?
Signup and view all the answers
What is the result of $8 - 4 ext{ ÷ } 2 + 3^2$?
What is the result of $8 - 4 ext{ ÷ } 2 + 3^2$?
Signup and view all the answers
What is the value of $4 imes (3 + 5) ext{ ÷ } 2^2$?
What is the value of $4 imes (3 + 5) ext{ ÷ } 2^2$?
Signup and view all the answers
What is the result of $6^2 ext{ ÷ } 2 + 5 imes 3$?
What is the result of $6^2 ext{ ÷ } 2 + 5 imes 3$?
Signup and view all the answers
Study Notes
Order of Operations
- PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
- The first step in the order of operations is to evaluate expressions inside Parentheses.
- Multiplication and Division should be performed from left to right.
- Exponents should be applied in the order in which they appear from left to right.
- In the expression $3 + 2 \times 5$, the Multiplication should be performed first, resulting in $3 + 10 = 13$.
- The correct order of operations for the expression $4 - 2(3 + 5)^2$ is:
- Evaluate the expression inside the Parentheses: $3 + 5 = 8$
- Apply the Exponent: $8^2 = 64$
- Perform Multiplication: $2 \times 64 = 128$
- Finally, perform Subtraction: $4 - 128 = -124$
- The result of $2 + 3 \times 4 - 6 \div 2$ using the order of operations is:
- Perform Multiplication: $3 \times 4 = 12$
- Perform Division: $6 \div 2 = 3$
- Finally, perform Addition and Subtraction: $2 + 12 - 3 = 11$
- The result of $2 \times 4^2 + 20 \div 4$ is:
- Apply the Exponent: $4^2 = 16$
- Perform Multiplication: $2 \times 16 = 32$
- Perform Division: $20 \div 4 = 5$
- Finally, perform Addition: $32 + 5 = 37$
- The result of $9 \div 3^2 \times 4 \div 8 + 1 \times 4 \div 2 \times 6$ is:
- Apply the Exponent: $3^2 = 9$
- Perform Division: $9 \div 9 = 1$
- Perform subsequent Divisions and Multiplications: $1 \times 4 \div 8 = 1 \times 0.5 = 0.5$
- Perform another Division: $1 \times 4 \div 2 = 2$
- Perform final Multiplication: $2 \times 6 = 12$
- Finally, add the results: $0.5 + 12 = 12.5$
- The result of $5 + 3 \times 4^2 \div 2$ is:
- Apply the Exponent: $4^2 = 16$
- Perform Multiplication: $3 \times 16 = 48$
- Perform Division: $48 \div 2 = 24$
- Finally, perform Addition: $5 + 24 = 29$
- The value of $2 + 3 \times (4 + 5)^2$ is:
- Evaluate the expression inside the Parentheses: $4 + 5 = 9$
- Apply the Exponent: $9^2 = 81$
- Perform Multiplication: $3 \times 81 = 243$
- Finally, perform Addition: $2 + 243 = 245$
- The result of $8 - 4 \div 2 + 3^2$ is:
- Perform Division: $4 \div 2 = 2$
- Apply the Exponent: $3^2 = 9$
- Perform Subtraction: $8 - 2 = 6$
- Finally, perform Addition: $6 + 9 = 15$
- The value of $4 \times (3 + 5) \div 2^2$ is:
- Evaluate the expression inside the Parentheses: $3 + 5 = 8$
- Perform Multiplication: $4 \times 8 = 32$
- Apply the Exponent: $2^2 = 4$
- Perform Division: $32 \div 4 = 8$
- The result of $6^2 \div 2 + 5 \times 3$ is:
- Apply the Exponent: $6^2 = 36$
- Perform Division: $36 \div 2 = 18$
- Perform Multiplication: $5 \times 3 = 15$
- Finally, perform Addition: $18 + 15 = 33$
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of the Order of Operations with this quiz. Challenge yourself to correctly solve math equations involving addition, subtraction, multiplication, division, exponents, and parentheses. Sharpen your math skills and master the correct sequence for solving complex problems.