Evaluate numerical expressions involving rational numbers

key notes:

Understanding Rational Numbers

1. Definition:

1. Examples:

Evaluating Numerical Expressions

• Order of Operations (PEMDAS/BODMAS):

1. Parentheses/Brackets: Solve expressions inside parentheses/brackets first.
2. Exponents/Orders: Evaluate exponents or orders (powers and roots).
3. Multiplication and Division: From left to right.
4. Addition and Subtraction: From left to right.

• Steps for Evaluating Expressions:

1. Simplify inside parentheses or brackets first.
2. Apply exponents or roots.
3. Perform multiplication and division from left to right.
4. Perform addition and subtraction from left to right.

• Combining Rational Numbers:

1. Addition/Subtraction: Find a common denominator if needed.
2. Multiplication: Multiply the numerators and the denominators.
3. Division: Multiply by the reciprocal of the divisor.

Examples

1. Simple Addition:

• Expression with Parentheses:

• Expression with Exponents:

• Complex Expression:

Practice Problems

1. Addition and Subtraction:

• Multiplication and Division:

• Expressions with Parentheses:

• Expressions with Exponents:

Tips for Success

• Follow Order of Operations:

• Always follow the order of operations (PEMDAS/BODMAS) to evaluate expressions correctly.

• Common Denominator:

• When adding or subtracting fractions, always find a common denominator.

• Simplify:

• Simplify fractions whenever possible to make calculations easier.

• Check Work:

• Double-check calculations to ensure accuracy, especially when dealing with complex expressions.

Learn with an example

Let’s Practice!