Grade 10 Math Notes (Clean & Easy)
1. Real Numbers & Exponents
• Real Numbers
Real numbers include: whole numbers, integers, fractions, decimals.
• Exponents Rules
a^m × a^n = a^(m+n)
a^m ÷ a^n = a^(m−n)
(a^m)^n = a^(mn)
Negative exponent: a^(−n) = 1/a^n
• Scientific Notation
Write big/small numbers using powers of 10.
Example: 5,600 = 5.6 × 10^3
2. Polynomials
• Vocabulary
Term: one part (ex: 3x)
Coefficient: number in front (ex: 3 in 3x)
Degree: highest exponent
• Adding/Subtracting Polynomials
Add like terms.
Example: 3x + 2x = 5x
• Multiplying Polynomials
Use FOIL for binomials.
Example: (x+2)(x+3) = x^2 + 5x + 6
1. Real Numbers & Exponents
• Real Numbers
Real numbers include: whole numbers, integers, fractions, decimals.
• Exponents Rules
a^m × a^n = a^(m+n)
a^m ÷ a^n = a^(m−n)
(a^m)^n = a^(mn)
Negative exponent: a^(−n) = 1/a^n
• Scientific Notation
Write big/small numbers using powers of 10.
Example: 5,600 = 5.6 × 10^3
2. Polynomials
• Vocabulary
Term: one part (ex: 3x)
Coefficient: number in front (ex: 3 in 3x)
Degree: highest exponent
• Adding/Subtracting Polynomials
Add like terms.
Example: 3x + 2x = 5x
• Multiplying Polynomials
Use FOIL for binomials.
Example: (x+2)(x+3) = x^2 + 5x + 6
