Question

In the calculation shown below, how many significant digits should the answer have?

A. 1
B. 2
C. 3
D. 4

Answer 1

c
because 1cm3 is the same of 1gram

Answer 2

Answer : The correct option is, (A) 1

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The given expression is:

`(2860kg)/(0.915cm^3)* (1cm^3)/(1.0* 10^6cm^3)* (1000g)/(1kg)`

`\Rightarrow 3.125`

In the given expression, 2860 has 3 significant figures, 0.915 has 3 significant figures, 1000 has 1 significant figure and
`1.0* 10^6` has 2 significant figures. From this we conclude that 1 is the least significant figure in this problem. So, the answer should be in 1 significant figure.

Thus, the answer will be
`\Rightarrow 0.3* 10^1`

Hence, the correct option is, (A) 1