Podcast
Questions and Answers
(______)⁵ = 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3
(______)⁵ = 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3 × 2/3
-7
(-5)³ = ?
(-5)³ = ?
-125
3³ = ?
3³ = ?
27
(1 1/3)² = ?
(1 1/3)² = ?
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(53 - (-10)) ÷ (-3)² = ?
(53 - (-10)) ÷ (-3)² = ?
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-6 - 1 × 3 1/3 = ?
-6 - 1 × 3 1/3 = ?
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(-1/2 ÷ (-1/3)) + (1/3 ÷ (-3/4)) = ?
(-1/2 ÷ (-1/3)) + (1/3 ÷ (-3/4)) = ?
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(-1/4)² + 18 x (2 - 5)² = ?
(-1/4)² + 18 x (2 - 5)² = ?
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Study Notes
Exponents and Order of Operations
- Exponential Form to Expanded Form: Convert exponential expressions into their expanded form. For example, (-7)5 expands to (-7) x (-7) x (-7) x (-7) x (-7).
- Finding the Value of Exponential Expressions: Evaluate expressions like (-5)3 to determine their numerical value.
- Order of Operations (PEMDAS/BODMAS): Solve problems involving multiple operations. This includes parentheses/brackets, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
- Number Lines for Addition and Subtraction: Use number lines to visualize addition and subtraction problems.
Mixed Numbers
- Answers should be in lowest terms when dealing with mixed numbers.
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Description
This quiz covers key concepts in exponents and the order of operations, including converting exponential expressions to expanded form and evaluating them. Additionally, you'll practice using the PEMDAS/BODMAS rules to solve multi-step problems and visualize addition and subtraction using number lines. Mixed numbers will also be addressed, ensuring answers are in their lowest terms.
