Order of Operations with Exponents

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 acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'exponent' refer to in mathematics?

Back

An exponent refers to the number of times a base is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 x 2 x 2).

Front

How do you evaluate an expression with exponents?

Back

To evaluate an expression with exponents, first calculate the exponent, then perform any multiplication or division, and finally perform addition or subtraction as per the order of operations.

Front

What is the result of 4^2?

Back

The result of 4^2 is 16, as 4 is multiplied by itself (4 x 4).

Front

What is the first operation to perform in the expression 10 - 4 ÷ 1 x 5?

Back

The first operation to perform is division (4 ÷ 1), according to the order of operations.

Front

What is the value of 15^1?

Back

The value of 15^1 is 15, as any number raised to the power of 1 is the number itself.

Front

How do you simplify the expression 24 ÷ 6 + 4^2?

Back

First, calculate 4^2 which is 16. Then perform the division: 24 ÷ 6 = 4. Finally, add: 4 + 16 = 20.

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses are used to indicate which operations should be performed first in an expression, overriding the standard order of operations.

Front

What is the result of 42 ÷ (15 - 2^3)?

Back

First, calculate 2^3 which is 8. Then, simplify the expression inside the parentheses: 15 - 8 = 7. Finally, divide: 42 ÷ 7 = 6.

Front

What is the difference between multiplication and division in the order of operations?

Back

Multiplication and division are performed from left to right in the order they appear in the expression, meaning they have the same level of precedence.