How many significant figures in 0.07090?

Four significant figures.

Think of significant figures like the important digits that tell us how precise a number is; in zero point zero seven zero nine zero the first two zeros before the decimal and the zero right after the decimal that only hold the place are not counted as important, but the digits seven, zero, nine, and the last zero are all important because the zero after nine is a trailing zero in a decimal and shows precision. So you count seven as one, the middle zero as two, nine as three, and the final zero as four, giving four significant figures. Remember that zeros that just show where the decimal sits are not counted, but zeros that come after a nonzero digit in a number with a decimal point are counted.

Students often forget that the zero between seven and nine is significant because it looks like a placeholder, but any zero between nonzero digits is always significant, so count it; another common mistake is thinking the leading zeros before the first nonzero digit are significant, but they are not, so do not count them; some learners also assume all trailing zeros are insignificant, yet in a decimal like this the trailing zero is significant because it indicates measured precision, so include it.

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Significant Figures in 0.07090

  1. Count only important digits
  2. Ignore leading placeholder zeros
  3. Count zeros between nonzero digits
  4. Trailing zeros after decimal count

Common Mistakes with Significant Figures

  1. Ignoring zeros between nonzero digits
  2. Counting leading placeholder zeros
  3. Assuming all trailing zeros are insignificant

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