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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Flashcards
Exponential Form
Exponential Form
A base multiplied by itself a number of times, indicated by the exponent.
Expanded Form
Expanded Form
The expanded form shows the base multiplied by itself the number of times indicated by the exponent.
Standard Form
Standard Form
The value of a number raised to a power.
Exponent
Exponent
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Base
Base
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Power
Power
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Order of Operations
Order of Operations
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Evaluating Expressions
Evaluating Expressions
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Negative Number
Negative Number
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Multiplication
Multiplication
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Addition
Addition
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Subtraction
Subtraction
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Division
Division
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PEMDAS
PEMDAS
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Order of Operations: Left-to-Right
Order of Operations: Left-to-Right
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Variable
Variable
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Algebraic Expression
Algebraic Expression
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Equation
Equation
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Inequality
Inequality
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Constant
Constant
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Rational Number
Rational Number
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Irrational Number
Irrational Number
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Sequence
Sequence
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Common Difference
Common Difference
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Arithmetic Sequence
Arithmetic Sequence
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Rate
Rate
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Central Tendency
Central Tendency
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Measure of Variability
Measure of Variability
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Mean
Mean
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Median
Median
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Mode
Mode
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Graph
Graph
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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.