Arithmetic Essentials
What Is Arithmetic?
Arithmetic is the foundation of all mathematics, dealing with numbers and basic operations like addition, subtraction, multiplication, and division. On the GMAT, arithmetic questions test your ability to manipulate numbers quickly and accurately.
Key Concepts
- Whole numbers, fractions, and decimals
- Percentages and ratios
- Prime numbers, factors, multiples
- Order of operations (PEMDAS/BODMAS)
Real-World Importance
Arithmetic is everywhere—from calculating discounts at a store to figuring out your monthly budget.
Quick Tips
- Always check your calculations for common mistakes.
- Learn shortcuts for percentage and ratio problems.
Common Mistakes
- Forgetting to convert percentages to decimals before calculations
- Not applying the correct order of operations
Practice Makes Perfect
The more you practice mental math and estimation skills, the faster you'll be on test day.
Examples
If a shirt originally costs $40 and is on sale for 25% off, the sale price is $40 - (0.25 × $40) = $30.
To divide 3/4 by 1/2, multiply 3/4 by the reciprocal of 1/2, which is 2/1: (3/4) × (2/1) = 6/4 = 1.5.
In a Nutshell
Arithmetic is the backbone of quantitative reasoning, covering everything from basic number operations to percentages and ratios.