Evaluating Expressions

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: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you evaluate an expression with exponents?

Back

To evaluate an expression with exponents, calculate the exponent first, then perform the remaining operations in the order of operations.

Front

What is the value of (-2)^2?

Back

The value of (-2)^2 is 4, because squaring a negative number results in a positive number.

Front

What is the value of (-5)^2?

Back

The value of (-5)^2 is 25, because squaring a negative number results in a positive number.

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, first evaluate the expression inside the parentheses, then apply the operations outside the parentheses according to the order of operations.

Front

What is the result of 3(4)^2?

Back

The result of 3(4)^2 is 48, calculated as 3 times 16 (since 4^2 = 16).

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by performing the operations indicated in the expression.

Front

How do you handle negative numbers in expressions?

Back

When handling negative numbers in expressions, follow the order of operations and remember that multiplying or squaring a negative number can change its sign.

Front

What is the result of -2 ⋅ (3 + 8 ÷ 4)^2?

Back

The result is -50, calculated as follows: first evaluate inside the parentheses (3 + 2 = 5), then square it (5^2 = 25), and finally multiply by -2 (-2 * 25 = -50).

Front

What is the value of the expression 3r + 2e when r = 3 and e = 2?

Back

The value of the expression 3r + 2e when r = 3 and e = 2 is 13, calculated as 3(3) + 2(2) = 9 + 4 = 13.