Write the following in standard form. (5×100)+(3×10)+(8×0.1)+(2×0.01)

(5x10^2)+(3x10^1)+(8x10^-1)+(2x10^-2)

Step-by-step explanation:

Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

So instead of the writing 500 which is what you would get by multiplying 5 by 100, for it to be in standard form it would be written as 5 multiplied by 10 raised to the second power or 5x10^2

so on and so forth.

(5×100)=(5×10^2)

why is because of the two zeros after the one. if it was an ordinary number like 5678, the answer will be 5.6×10^3 because of the three numbers after the 5

(3×10)=(3×10^1)

(8×0.1)=(8×10^-1) it is raised to the power of -1 because its a decimal number

(2×0.01)=(2×10^-2)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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