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Phase 10.1

Mathematics Intelligence

Core math calculators for percentages, fractions, ratios, averages, roots, exponents, logarithms, equations, and number checks. Each tool explains the formula and what the result means.

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Mathematics cluster standard

Phase 10.1 calculators are designed for educational use. They show formulas, validate common edge cases, and guide learners toward related math tools.

Mathematics calculators included

Phase 10.1

Percentage Calculator

Convert a part and whole into a percentage with a simple interpretation.

Formula: Part ÷ Whole × 100
Phase 10.1

Percentage Increase Calculator

Measure how much a value increased compared with its starting point.

Formula: (New − Original) ÷ Original × 100
Phase 10.1

Percentage Decrease Calculator

Measure how much a value decreased compared with its starting point.

Formula: (Original − New) ÷ Original × 100
Phase 10.1

Fraction Calculator

Simplify a fraction and understand its decimal value.

Formula: Numerator ÷ Denominator
Phase 10.1

Decimal Calculator

Convert a decimal into a percent and readable fraction-style context.

Formula: Decimal × 100 = Percent
Phase 10.1

Ratio Calculator

Simplify two values into a cleaner ratio for comparison.

Formula: A:B simplified by greatest common factor
Phase 10.1

Proportion Calculator

Solve a simple proportion and show the missing value.

Formula: A ÷ B = C ÷ X, so X = B × C ÷ A
Phase 10.1

Average Calculator

Find the average of a set of numbers.

Formula: Sum of values ÷ Number of values
Phase 10.1

Mean Calculator

Calculate the arithmetic mean for learning, grades, or general data.

Formula: Sum of values ÷ Count
Phase 10.1

Median Calculator

Find the middle value in a data set.

Formula: Middle value after sorting
Phase 10.1

Mode Calculator

Find the value that appears most often.

Formula: Most frequently occurring value
Phase 10.1

Prime Number Calculator

Check whether a whole number is prime.

Formula: A number is prime if only divisible by 1 and itself
Phase 10.1

GCF Calculator

Find the greatest common factor between two numbers.

Formula: Greatest common factor using Euclidean method
Phase 10.1

LCM Calculator

Find the least common multiple between two numbers.

Formula: |A × B| ÷ GCF(A,B)
Phase 10.1

Scientific Calculator

Run common scientific-style operations using simple inputs.

Formula: Selected operation on two inputs
Phase 10.1

Equation Solver Calculator

Solve a basic linear equation in the form ax + b = c.

Formula: ax + b = c, so x = (c − b) ÷ a

How to use this cluster

  1. Choose the math operation closest to your problem.
  2. Enter values carefully and avoid zero where the formula cannot divide by zero.
  3. Review the formula note and the result explanation.
  4. Use a related calculator when you need a second step such as converting a decimal to a percent or simplifying a ratio.