SIGNIFICANT FIGURES

Question 1

Zeros between two non-zero digits ARE significant

Answer 1

670090657 = 9 sf

Question 2

All non-zero numbers ARE significant

Answer 2

657890 = 5sf

Question 3

Leading zeros are NOT significant

Answer 3

0.0032 = 2sf

Question 4

Trailing zeros to the right of the decimal ARE significant

Answer 4

76.00 = 4sf

Question 5

Trailing zeros in a whole number with the decimal shown ARE significant.

Answer 5

130600.

6sf

Question 6

For a number in scientific notation: N x 10x, all digits comprising N ARE significant by the first 6 rules; “10” and “x” are NOT significant.

Answer 6

6.25 x 10^8

3 sf

Question 7

If the format of the problem is like this:

N x 10 ^n, THE ANSWER MUST BE

Answer 7

N x 10 ^n

Question 8

RULES OF SIG FIG FOR Log

keep as many significant figures to the right of the decimal point as there are significant figures in the original number

log 4.000 sf = 0.6021(4 s.f. to right of the decimal point)

Question 9

Significant Figures and Rules for Rounding in Calculations

https://cxp.cengage.com/contentservice/assets/owms01h/references/significantfigures/index.html#:~:text=When%20you%20take%20the%20logarithm,right%20of%20the%20decimal%20point).&text=3.44%20has%20three%20s.f.%2C%20so,reported%20to%20three%20decimal%20places.