Answer: [tex]0.076[/tex] and [tex]1\overline{0}000[/tex]
Step-by-step explanation:
The question asks you to go to two significant figures.
[tex]0.076499[/tex] to two significant figures is [tex]0.076[/tex] because leading zeros are insignificant. Any number from 1 to 9 is always significant. If the digit next to the 6 was 5 or greater, then it would be [tex]0.077[/tex], but because it is 4 or less, it is not the case.
[tex]10100[/tex] to two significant figures is [tex]1\overline{0}000[/tex] because the zeros represent placeholders unless a decimal is present after the final zero. However, what we have is a 0 sandwiched in between a 1 and a 1. Zeros in between numbers that are between 1 and 9 are always significant. Because the second zero is considered significant, we draw a line over it to signify it as such. The remaining zeros are insignificant and are simply placeholders.
