I have a rectangle and i have to find the area using scientific notation and standard form. The length is 1.2 x 10^5 and the width is 2 x 10^2. Thanks!
A = L ∙ W
A = 1.2 ∙ 10⁵ ∙ 2 ∙ 10² = 1.2 ∙ 2 ∙ 10²⁺⁵ = 2.4 ∙ 10⁷
Thank you!
To find the area of a rectangle, you need to multiply its length by its width. In this case, the length is given as 1.2 x 10^5 and the width is given as 2 x 10^2.
Let's first express the numbers in standard form, which means removing the scientific notation.
The length, 1.2 x 10^5, can be expressed as 120,000.
The width, 2 x 10^2, can be expressed as 200.
Now, we can find the area by multiplying the length and the width:
Area = Length x Width
Area = 120,000 x 200
Area = 24,000,000
The area of the rectangle is 24,000,000 in standard form.
If you want to express the area in scientific notation, you can write it as 2.4 x 10^7. This is obtained by moving the decimal point to the left until there is one non-zero digit to the left of the decimal point, and counting the number of places you moved the decimal. In this case, we moved the decimal point 7 places to the left, so the exponent is 7.