Important math formulas for Grade 6

 Here are some important math formulas for Grade 6:

Arithmetic

1. Addition & Subtraction of Integers

   • $(+a) + (+b) = +(a+b)$
   • $(-a) + (-b) = -(a+b)$
   • $(+a) + (-b) = (a-b)$ (Take the sign of the larger number)

2. Multiplication & Division of Integers

   • $(+a) \times (+b) = +(a \times b)$
   • $(-a) \times (-b) = +(a \times b)$
   • $(+a) \times (-b) = -(a \times b)$
   • $(-a) \times (+b) = -(a \times b)$

3. BODMAS Rule (Order of Operations)

   • Brackets → Orders (powers/roots) → Division → Multiplication → Addition → Subtraction

Fractions & Decimals

4. Fraction Addition & Subtraction

   • $\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$
   • $\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}$

5. Fraction Multiplication & Division

   • $\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$
   • $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Geometry

6. Perimeter Formulas

   • Rectangle: $P = 2(l + w)$
   • Square: $P = 4s$

7. Area Formulas

   • Rectangle: $A = l \times w$
   • Square: $A = s^2$
   • Triangle: $A = \frac{1}{2} \times \text{base} \times \text{height}$

8. Volume Formulas

   • Cube: $V = s^3$
   • Rectangular Prism: $V = l \times w \times h$

Algebra

9. Simple Equations

   • If $ax = b$, then $x = \frac{b}{a}$

10. Mean (Average)

    • $\text{Mean} = \frac{\text{Sum of all values}}{\text{Total number of values}}$

These formulas will help with Grade 6 math concepts!