Table of Contents

- 1 What is a rule for evaluating expressions called?
- 2 How do we evaluate expressions with two or more operations?
- 3 What does evaluating an expression mean?
- 4 What are the rules for math equations?
- 5 What is the Pemdas rule?
- 6 How is the difference in a set defined?
- 7 When are two sets are mutually exclusive or disjoint?

## What is a rule for evaluating expressions called?

Cole used the order of operations rule, PEMDAS, and his answer is correct. This is called evaluating or simplifying a numerical expression. A variable expression is evaluated using the order of operations in the same way as a numerical expression is evaluated.

**What are the rules to be followed in solving a mathematical expression having more than one operation?**

First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right. Fourth, we solve all addition and subtraction from left to right.

### How do we evaluate expressions with two or more operations?

First, follow the order of operations and evaluate the parentheses and exponents. Next, substitute these values back into the original number sentence. Then, complete the multiplication. Finally, complete the addition and subtraction in order from left to right.

**What is the set of rules used to determine the order in which operations are performed?**

PEMDAS means the order of operations for mathematical expressions involving more than one operation. It stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

#### What does evaluating an expression mean?

To evaluate an algebraic expression means to determine the value of the expression for a given value of each variable in the expression. Replace each variable in the expression with the given value, then simplify the resulting expression using the order of operations.

**Which rule is used to solve expressions equations?**

In algebra 1 we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule. The addition rule for equations tells us that the same quantity can be added to both sides of an equation without changing the solution set of the equation.

## What are the rules for math equations?

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

**How do you evaluate expressions?**

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

### What is the Pemdas rule?

**Do you use Pemdas for every equation?**

Simple, right? We use an “order of operations” rule we memorized in childhood: “Please excuse my dear Aunt Sally,” or PEMDAS, which stands for Parentheses Exponents Multiplication Division Addition Subtraction. * This handy acronym should settle any debate—except it doesn’t, because it’s not a rule at all.

#### How is the difference in a set defined?

The difference (subtraction) is defined as follows. The set consists of elements that are in but not in . For example if and , then . In Figure 1.8, is shown by the shaded area using a Venn diagram. Note that . Fig.1.8 – The shaded area shows the set .

**Are there Nested rules in the rules top-level section?**

The rules top-level section contains a number of named rule groups, which can be nested. These in turn contain a number of named rules. The rule groups, apart from grouping the rules, can provide defaults to apply to all the rules they contain.

## When are two sets are mutually exclusive or disjoint?

Two sets A and B are mutually exclusive or disjoint if they do not have any shared elements; i.e., their intersection is the empty set, A∩B = ∅. More generally, several sets are called disjoint if they are pairwise disjoint, i.e., no two of them share a common elements. Figure 1.9 shows three disjoint sets.

**When is a set a a proper subset?**

A proper subset. Definition: A set A is said to be a proper subset of B if and only if A B and A B. We denote that A is a proper subset of B with the notation A B. U A B CS 441 Discrete mathematics for CS M. Hauskrecht.