Grade 9 Math Exam Review – Teacher Copy Unit 1 Review Notes – POWERS AND EXPONENT LAWS 1. 1 What is a Power – 45 = = (use a calculator) Ex.1: 4x4x4x4x4 1024 a) 32 = b) -32 = c) (-3)2 = Ex.2: 9 -9 9 1. 2 Powers of Ten and Zero Exponent – For Powers of Ten, the # of Zeroes = Value of Exponent Zero Exponents always equal 1 – Ex.1: a) (-9) 0 = 1 b) -90 = -1 Write 3452 using powers of 10 Ex.2: = 3000 + 400 + 50 + 2 = (3 x 103) + (4 x 102) + (5 x 101) + (2 x 100) 1. 3 Order of Operations with Powers – Ex.1: 33 + 23 = 27 + 8 = 35 [2 x (-3)3 6]2 = Ex.2: [2 x (-27) 6]2 = [-54-6]2 = [-60]2 = 3600 – – 1. 4 & 1.5 Exponent Laws I and II – 54 x 52 = Ex: 56 Product of Powers (same base add exponents) – 7 6 ÷ 72 = Ex: 74 Quotient of Powers (same base subtract exponents) – - multiply the exponents Ex: (32)4 = 38 Power of a Power - the exponent (3 x 4)5 = distribute Ex: 35 x 45 Power of a Product the exponent Ex: Power of a Quotient –distribute Ex: Unit 2 Review Notes - POLYNOMIALS 2. 1 Modeling Polynomials –
Grade 9 Math Exam Review – Teacher Copy Unit 1 Review Notes – POWERS AND EXPONENT LAWS 1. 1 – What is a Power Ex.1: 45 = 4x4x4x4x4 = 1024 (use a calculator) Ex.2: a) 32 = 9 b) -32 = -9 c) (-3)2 = 9 1. 2 – Powers of Ten and Zero Exponent For Powers of Ten, the # of Zeroes = Value of Exponent Zero Exponents – always equal 1 Ex.1: a) (-9) 0 = 1 b) -90 = -1 Ex.2: Write 3452 using powers of 10 = 3000 + 400 + 50 + 2 = (3 x 103) + (4 x 102) + (5 x 101) + (2 x 100) 1. 3 – Order of Operations with Powers Ex.1: 33 + 23 = 27 + 8 = 35 Ex.2: [2 x (-3)3 – 6]2 = [2 x (-27) – 6]2 = [-54-6]2 = [-60]2 = 3600 1. 4 & 1.5 – Exponent Laws I and II Product of Powers Ex: 54 x 52 = 56 (same base – add exponents) Quotient of Powers Ex: 7 6 ÷ 72 = 74 (same base – subtract exponents) Power of a Power - multiply the exponents Ex: (32)4 = 38 Power of a Product - distribute the exponent Ex: (3 x 4)5 = 35 x 45 Power of a Quotient –distribute the exponent Ex: Ex: Unit 2 Review Notes - POLYNOMIALS 2. 1 – Modeling Polynomials
grade_9_math_exam_review_notes.docx