Question

1. How many significant figures are in each of these numbers? a) 768 b) 0.000086 c) 8.0 d) 43,000 e) 3.0200x106 f) 7.9800 g) 98.0010 h) 0.0087600 i) 0.00202​

Answer 1

a) There are 3 significant numbers in 768

b) There are 2 significant numbers in 0.000086

c) There are 2 significant numbers in 8.0

d) There are 5 significant numbers in 43,000

e) There are 11 significant numbers in 3.0200x10^6

f) There are 5 significant numbers in 7.9800

g) There are 6 significant numbers in 98.0010

h) There are 5 significant numbers in 0.0087600

i) There are 3 significant numbers in 0.00202

Explanation:

How many significant figures are in each of these numbers?

a) 768

There is no decimal so, all digits are significant numbers.

There are 3 significant numbers in 768

b) 0.000086

There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.

So, There are 2 significant numbers in 0.000086

c) 8.0

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So, There are 2 significant numbers in 8.0

d) 43,000

There is no decimal so, all digits are significant numbers.

There are 5 significant numbers in 43,000

e) 3.0200x10^6

It can be written as: 3.0200000000

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So, There are 11 significant numbers in 3.0200x10^6

f) 7.9800

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So, There are 5 significant numbers in 7.9800

g) 98.0010

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So, There are 6 significant numbers in 98.0010

h) 0.0087600

There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.

So, There are 5 significant numbers in 0.0087600

i) 0.00202​

There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.

So, There are 3 significant numbers in 0.00202