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 'squared' mean in mathematics?

Back

'Squared' means to raise a number to the power of 2, which is the result of multiplying the number by itself.

Front

How do you evaluate an expression with parentheses?

Back

You should first simplify the expression inside the parentheses before performing any other operations.

Front

What is the result of 2 + [(20 - 13) x 5] ÷ (4 + 3)?

Back

The result is 7.

Front

What is the first step in solving the expression (2 + 7 - 1) ÷ 2²?

Back

The first step is to evaluate the exponent, which is 2² = 4.

Front

What is the correct order to solve the expression 5 - 3 + 2?

Back

You should perform the subtraction first: 5 - 3 = 2, then add 2: 2 + 2 = 4.

Front

What is the error in the calculation 5 - 3 + 2 = 0?

Back

The error is that addition was done before subtraction; subtraction should be performed first.

Front

What is the value of 2 + [20 - (9 x 2)]?

Back

The value is 4.

Front

What is the purpose of using exponents in mathematics?

Back

Exponents are used to represent repeated multiplication of a number by itself.

Front

How do you handle division in the Order of Operations?

Back

Division should be performed from left to right, after any calculations inside parentheses and after evaluating exponents.