A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are 5×10^5meters by 4×10^4meters. Find the area of the land in square meters. Make sure your answer is in correct scientific notation form.
Help me understand how to solve this please I really need help
Our l=4*10^4 and b=5*10^5
A=l*b
=5*10^5*4*10^4
=2*10^10 M^2
the area is the product (multiplication) of the two dimensions
(5 x 10^5 m) * (4 x 10^4 m) = (5 * 4) x (10^5 * 10^4) m^2 = 20 x 10^9 m^2
for scientific notation the leading digit is between 1 and 10
... in this case ... 2 x 10^10 m^2
area is measured in square meters
I still dont understand
To find the area of the land in square meters, we need to multiply the length and width of the rectangular section. The dimensions given for the length and width are in scientific notation form.
The length is 5×10^5 meters, which means 5 multiplied by 10 raised to the power of 5: 5 * 10^5.
The width is 4×10^4 meters, which means 4 multiplied by 10 raised to the power of 4: 4 * 10^4.
To multiply two numbers in scientific notation, multiply the coefficients (the numbers before the power of 10), and add the exponents. So, in this case:
(5 * 10^5) * (4 * 10^4) = 20 * 10^(5+4) = 20 * 10^9.
Therefore, the area of the land in square meters is 20 * 10^9 square meters or 2 × 10^10 square meters in scientific notation form.