Order of Operations

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The standard order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you solve the expression 10 × 8 + 52 ÷ 4?

Back

First, perform the division: 52 ÷ 4 = 13. Then, multiply: 10 × 8 = 80. Finally, add: 80 + 13 = 93.

Front

What is the first step in solving the expression 6^2 - 92 ÷ 4?

Back

The first step is to calculate the exponent: 6^2 = 36.

Front

What is the second step in solving the expression 6^2 - 92 ÷ 4 after calculating the exponent?

Back

The second step is to perform the division: 92 ÷ 4 = 23.

Front

What is the final step in solving the expression 6^2 - 92 ÷ 4?

Back

The final step is to subtract: 36 - 23 = 13.

Front

How do you solve the expression 23 + 4 × 1 + 15?

Back

First, perform the multiplication: 4 × 1 = 4. Then, add: 23 + 4 + 15 = 42.

Front

What is the value of 2 × 3^3 + 10?

Back

First, calculate the exponent: 3^3 = 27. Then, multiply: 2 × 27 = 54. Finally, add: 54 + 10 = 64.

Front

How do you solve the expression 70 ÷ 5 - 2^3?

Back

First, perform the division: 70 ÷ 5 = 14. Then, calculate the exponent: 2^3 = 8. Finally, subtract: 14 - 8 = 6.

Front

What is the importance of following the order of operations?

Back

Following the order of operations is crucial to obtaining the correct result in mathematical expressions, as it ensures consistency and accuracy in calculations.