Approximate the number ∛-12 to the nearest a) integer and b) tenth

Below in bold.

Step-by-step explanation:

∛-12

The nearest cube  to -12 is -8    ( -27 is the next after -12)

a) The answer is -2.

b) we can do this by trial and improvement

It must be between -2 and -3, closer to -2 than 3 so first we guess -2.1

(-2.1)^3 = -9.261

(-2.2)^3 = -10.648

(-2.3)^3 = `2.167  - very close

Answer is -2.3 .