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Which of the following are always significant digits?  Select all that apply; choosing incorrect answers will reduce credit.Group of answer choicesZeroes that trail in a non-decimal whole number value.Zeroes that lead (in the beginning of) in a decimal value.Zeroes that are in between nonzero digits.Zeroes that trail in a decimal value.

Question

Which of the following are always significant digits?  Select all that apply; choosing incorrect answers will reduce credit.Group of answer choicesZeroes that trail in a non-decimal whole number value.Zeroes that lead (in the beginning of) in a decimal value.Zeroes that are in between nonzero digits.Zeroes that trail in a decimal value.

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Solution

The significant digits are:

  1. Zeroes that are in between nonzero digits: These zeroes are always significant. For example, in the number 2005, all four digits are significant because the zeroes are between two non-zero digits (2 and 5).

  2. Zeroes that trail in a decimal value: These zeroes are also always significant. For example, in the number 3.200, all four digits are significant. The zeroes after the decimal point are significant because they indicate the precision of the measurement.

The non-significant digits are:

  1. Zeroes that trail in a non-decimal whole number value: These zeroes are not significant. For example, in the number 2000, only the first digit (2) is significant. The zeroes are not significant because they could be the result of rounding or estimation.

  2. Zeroes that lead (in the beginning of) in a decimal value: These zeroes are not significant. For example, in the number 0.002, only the last digit (2) is significant. The leading zeroes are not significant because they simply indicate the position of the decimal point.

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