Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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An Exponent Question

Which mental path do you think is easiest for beginning students?  (Analytical, numerical, graphical, algebraic?) Would you give a different hint to beginning students than to advanced students?

Will the average of \( 2^{48} \) & \( 2^{50}\) be less than, greater than, or equal to \( 2^{49} \)?

Can you find the actual average? (without a calculator!)


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Number Theory
David Marain
SAT

Source: David Marain
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