the length of o'p' is .
it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.
the center of dilation is origin and the scale factor is 1.5.
in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.
the scale factor is defined as
the scale factor is 1.5.
multiply both sides by op.
note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.
therefore length of o'p' is .
the largest number of the four options is 1.8 x 10-2
you have it in scientific notation.
1.80 x 10-6 = 0.00000180
1.80 x 10-4 = 0.000180 (bigger, or "less small", than the former one)
1.8 x 10-2 = 0.0180. as you see. the "less small", or the biggest one of them all.
as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).
if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:
1.8 x (10)2 = 180
so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.