Simplify Numerical Expressions

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operation symbols, but no variables. For example, 3 + 5 or 12 - 4.

Front

What does it mean to simplify a numerical expression?

Back

To simplify a numerical expression means to perform the operations and reduce it to its simplest form.

Front

What is the order of operations?

Back

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

Front

What is the first step in simplifying the expression 22 - [(5 + 2) + (16 - 4)]?

Back

The first step is to simplify the expressions inside the parentheses: (5 + 2) = 7 and (16 - 4) = 12.

Front

What is the result of the expression 4 + (12 * 3)?

Back

The result is 40, calculated as 4 + 36.

Front

How do you solve the expression 16 + 5(21 - 14)?

Back

First, simplify inside the parentheses: 21 - 14 = 7. Then, multiply: 5 * 7 = 35. Finally, add: 16 + 35 = 51.

Front

What is the simplified form of (21 + 71) ÷ (18 - 14)?

Back

The simplified form is 23, calculated as (92) ÷ (4).

Front

What is the first step in simplifying 5[2 + (9 * 5)] - 45?

Back

The first step is to calculate the multiplication inside the brackets: 9 * 5 = 45.

Front

What does it mean to evaluate an expression?

Back

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

Front

What is the result of the expression 5 * (2 + (9 * 5)) - 45?

Back

The result is 0, calculated as 5 * (2 + 45) - 45 = 5 * 47 - 45 = 235 - 45 = 190.