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The number of significant figures in 50000.040 ×10-3 is

  • A.8
  • B.3
  • C.5
  • D.6
  • E.7

Answer: A

The number has 8 significant figures.

The power of ten does not affect the count; only the digits of 50000.040 matter. The rules:

  • All non-zero digits are significant: 5 and 4.
  • Zeros between non-zero digits are significant: the four zeros of 50000 and the first zero after the decimal point.
  • Trailing zeros after a decimal point are significant: the final 0.

That gives 5, 0, 0, 0, 0, 0, 4, 0, eight figures. Dropping the final zero gives 7, and treating the zeros of 50000 as placeholders gives far fewer, but here they sit between the 5 and the 4 and so count.

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