Concept:Leading zeros are not significant. Only nonzero digits and trailing zeros after a decimal point are counted for significant figures.Explanation:Write 0.0033780 in scientific notation:0.0033780=3.3780×10−3To round to 3 significant figures, look at the fourth significant digit, which is 8.Since 8≥5, round 3.378 up to 3.38.Now convert back to ordinary notation:3.38×10−3=0.00338The three zeros before the digit 3 are not significant, so they remain in the decimal value.Thus the value of 0.0033780 correct to 3 significant figures is 0.00338.Answer:0.00338