you do not always have to put it there, but some teachers want you to. hope this helped.
No. Not unless there is another real (1-9) number to the left of the zero. If, or instance, your number is 0.45 only the 4 and 5 are significant. But, if you have 70.45 then the zero IS significant.
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0.1020 is a number to 4 significant figures. The rule is that "Zeros must be kept to show the position of the decimal point or to indicate that zero is a significant figure." Then the leading zero before the decimal point is retained as this shows the position of the decimal point. The zero between 1 and 2 is a key part of the number. The final zero (after 2) is a significant figure otherwise the number would be written 0.102. Consequently, the 4 significant figures are "1020" but are presented as 0.1020 to ensure the true value of the number is accurately given.
0.1
0.003 has one significant figure. A significant figure is any non-zero digit or any embedded or trailing zero. Leading zeros are not significant.
Two rules associated with significant figure :-. When rounding off numbers is "If the first figure to be discarded is 5 or more then the previous figure is increased by 1". Zeros must be kept to show the position of the decimal point or to indicate that zero is a significant figure. Then 0.000 must be kept to show the position of the decimal point. 763 are thus the three significant figures and no change is required as the first figure to be discarded is 2 and this is less than 5. The answer to 3 significant figures is 0.000763