1) Suppose a student adds: –3 + 7 = –10. How would you explain their mistake? 2) Explain. 3) Explain. 4) Explain. 5) A student says 2³ × 2⁴ = 2¹². How would you explain their mistake? 6) Explain. 7) A student simplifies (3⁴)(3²) as 3⁸. Another student writes 3⁶. Who is correct? How would you justify your answer 8) A student says:“(5²)³ = 5⁵ because you add exponents.”How would you explain why this is incorrect? 9) A student claims that (4⁶)/(4²) = 16⁴. Explain the mistake and show the correct reasoning. 10) Simplify (4.3)(4.3²)⁴.
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Math 7
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