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JAMB 1997 · UME · Q3

Find the value of (0.006)3+(0.004)3(0.006)^3 + (0.004)^3 in standard form.

Worked solution (try it first)
  1. Cube each number: (0.006)3=0.000000216(0.006)^3 = 0.000000216
    =2.16×10−7= 2.16 \times 10^{-7}, because 63=2166^3 = 216 and the 3 decimal places become 9.
  2. Likewise (0.004)3=0.000000064(0.004)^3 = 0.000000064
    =0.64×10−7= 0.64 \times 10^{-7}, because 43=644^3 = 64.
  3. Add with the same power of 10: (2.16+0.64)×10−7=2.8×10−7(2.16 + 0.64) \times 10^{-7} = 2.8 \times 10^{-7}, option C.

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