Question

A square solar collector measures 6.00 m by 6.00 m and another solar collector measures 8.000 m by 8.000 m. using the correct number of significant figures what is the combined area of both collectors?
a) 1.00×10^2
b) 1.0 ×10^2
c)1×10^2
d) 1.000x10^2
e) 1.0000x10^2

Answer 1

Answer: $1.000\times 10^2m^2$

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 precise number present determines the number of significant figures in the answer.  

The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

Area of square collector 1 =

Area of square collector 1 =$6.00m\times 6.00m=36.0m^2$

Area of square collector 2 =$length\times breadth$

Area of square collector 2 =$8.000m\times 8.000m=64.00m^2$

Combined area of both collectors = Area of square collector 1 + Area of square collector 2 = $36.0m^2+64.00m^2=100.0m^2=1.0\times 10^2m^2$

The combined area of both collectors is $1.000\times 10^2m^2$