Grade 8 Mathematics Unit 2 | Practice Workbook
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Day 1: Rational and irrational numbers
- Classify -8 as integer, rational, or both.
- Write 0.25 as a simplified fraction.
- Write 0.666… as a fraction.
- Is √2 rational or irrational?
- Is π rational or irrational?
- Is 1.41 an exact value of √2?
- Is zero a whole number?
- Explain why every integer is rational.
Day 2: Squares and square roots
- Find √64.
- Solve x² = 64 over the real numbers.
- Find √0.
- Between which consecutive integers is √30?
- Between which consecutive integers is √70?
- Is √81 rational?
- A square has area 49 cm². Find its side length.
- Explain the difference between √25 and the solutions of x² = 25.
Day 3: Estimating and ordering
- Between which integers is √10?
- Is √10 greater than 3.1?
- Is √10 less than 3.2?
- Calculate 1.4².
- Calculate 1.5².
- Order 1.4, √2, 1.5 from least to greatest.
- What symbol indicates approximately equal?
- Explain why 1.414 is not exactly √2.
Day 4: Integer exponents and powers
- Evaluate 2³ × 2².
- Evaluate 3⁴ ÷ 3².
- Evaluate 5⁰.
- Write 2⁻³ as a fraction.
- Evaluate (-3)².
- Evaluate -3².
- Is 0⁻¹ defined?
- Explain why 2⁻³ is positive.
Day 5: Independent assessment
- Classify √3 as rational or irrational.
- Write 0.125 as a simplified fraction.
- Solve x² = 36 over the real numbers.
- Between which consecutive integers is √50?
- Is √5 greater than 2.2? Explain using a square.
- Evaluate 2⁴ × 2³.
- Evaluate 10⁻² as a fraction or decimal.
- A square has area 20 cm². Give its exact side length and bracket it between consecutive whole numbers.