Basic Concepts
Arithmetic Foundations
Understanding Numbers and Operations
Arithmetic is the backbone of quantitative reasoning. You'll use it to manipulate numbers, compare values, and make quick calculations.
Key Concepts
- Types of numbers: integers, fractions, decimals, and percents.
- Order of operations (PEMDAS): Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
- Absolute value and basic number properties.
Real-World Relevance
Whether splitting a bill, converting currencies, or tracking discounts, arithmetic skills are essential for daily life.
Quick Tips
- Always follow the order of operations.
- Convert fractions to decimals for easier comparisons.
- Percent changes often appear in GRE questions—practice converting between decimals and percents.
Practice Problems
Try calculating the sale price of an item after a 20% discount or add up a grocery list to stay within budget.
Examples
Calculate \( 25% \) of 160.
If \( 3x + 7 = 16 \), what is \( x \)?
In a Nutshell
Mastering arithmetic is crucial for accurate and quick calculations on the GRE.