Basic Arithmetic Solvers

PEMDAS Expression Solver

Understanding Order of Operations: PEMDAS/BODMAS

When you see a math problem with multiple operations, it's important to solve it in the correct order. PEMDAS (or BODMAS) helps remember this order:

  • Parentheses (or Brackets)
  • Exponents (or Orders/Indices)
  • Multiplication and Division (left to right)
  • Addition and Subtraction (left to right)

Describe your PEMDAS problem, e.g., 'Solve 5 + 3 * 2 - (10 / 5) step by step.'

Relevant Tools

To further enhance your learning and problem-solving skills, explore these additional resources

Interactive Arithmetic Practice

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LCM and HCF Calculator

Understanding LCM and HCF

Highest Common Factor (HCF / GCD): The largest positive integer that divides each of the integers without a remainder. Example: $HCF(12, 18) = 6$.

Least Common Multiple (LCM): The smallest positive integer that is a multiple of all the integers. Example: $LCM(4, 6) = 12$. It can be found using $ LCM(a, b) = \frac{|a \times b|}{HCF(a, b)} $.

Describe your LCM/HCF problem, e.g., 'Find the LCM and HCF of 12, 18, and 30 step by step.'

Basic Arithmetic (HTU Method)

Understanding HTU (Column Method)

The HTU (Hundreds, Tens, Units) method, or column method, visually organizes numbers for basic operations, emphasizing place value and regrouping (carrying/borrowing).

  • Addition: Align numbers by place value. Add columns from right, carrying sums $\ge 10$.
  • Subtraction: Align numbers. Subtract columns from right, borrowing if a top digit is smaller.
  • Multiplication (Long): Multiply by each digit of the multiplier, creating shifted partial products. Sum these products.

Describe your HTU problem, e.g., 'Show column addition for 123 + 456.'