10. A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are 6 x 105meters by 5 x104 meters. Find the area of the land in square meters. Make sure your answer is in correct scientific notation form and show your work. I need help! my grade depends on it.
multiply the mantissas (6 and 5) and add the powers of ten
area = (6 x 10^5 m) * (5 x 10^4 m) = 30 x 10^9 = 3 x 10^10 m^2
A rectangular section of wilderness will be set aside for a new wildlife refuge. It's dimensions are 5.2 × 105meters by 3.7 × 106meters. Find the area of the land in square meters.
To find the area of the rectangular section, we need to multiply its length by its width. The length is given as 6 x 105 meters and the width is given as 5 x 104 meters.
To perform the multiplication, we can multiply the numerical values together and then multiply the powers of 10. In this case, multiplying 6 by 5 will give us 30. Then, we add the powers of 10 by adding the exponents together.
So, the area of the rectangular section can be calculated as:
30 x (10^5) x (10^4)
To simplify this expression, we can add the exponents of 10:
30 x (10^(5+4))
Now, we can add the powers of 10 in the parentheses:
30 x (10^9)
Finally, we can express the answer in scientific notation form:
3 x 10^10 square meters
Therefore, the area of the land in square meters is 3 x 10^10.