Question

How many significant digits are in the number 2,370.0?

a. 2
b. 3
c. 4
d. 5
How many significant digits are in the number 0.00120?
a. 2
b. 3
c. 4
d. 5

Answer 1

1. would be 5
2.would be 4

Answer 2

2370.0 contains 4 significant digits and Option (c) is correct .

`1.20* 10^(-3)\ contains\ three\ significant\ digit.`

Option (b) is correct .

Explanation:

Rules for finding significant digit .

1 : Non-zero digits are always significant.

2: Any zeros between two significant digits are significant .

3: Trailing zeros in the decimal number is also significant.

As the number given be 2,370.0.

`= (23700)/(10)`

Simplify the above

= 2370

Thus by using the rule given above.

2370.0 contains 4 significant digits.

Option (c) is correct .

As the number given be 0.00120 .

`= (120)/(100000)`

Simplify the above

`= (1.20)/(1000)`

`= 1.20* 10^(-3)`

Thus by using the rule given above.

`1.20* 10^(-3)\ contains\ three\ significant\ digit.`

Option (b) is correct .