A 64 cm ribbon is cut in half, one half is cut in half again, and so on, as shown. How long is the orange piece, and what part of the whole ribbon is it?

Question

Accepted Answer

8 cm = 2⁻³ of the ribbon. The ribbon is halved 3 times: 64 × 12 × 12 × 12 = 8 cm. That is 12^3 = 2^-3 of the ribbon. ( 2^3 would make it 8 times longer, not shorter.)

A 64 cm ribbon is cut in half, one half is cut in half again, and so on, as shown. How long is the orange piece, and what part of the whole ribbon is it?

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