Question

The length of cell A is 9x10^-7 m. The length of cell B is 0.00000003 m. What is the ratio of cell A's length to cell B's length?

a) 3:1
b) 1:3
c) 1:30
d) 30:1

Answer 1

The ratio of cell A's length to cell B's length is found by dividing the lengths expressed in the same units, resulting in a ratio of 30:1, which corresponds to answer option (d) 30:1.

Step-by-step explanation:

To compare the lengths of cell A and cell B, we must express both lengths in the same units. Cell A is given as 9 x 10-7 meters, and cell B as 0.00000003 meters, which can also be written as 3 x 10-8 meters. To find the ratio of cell A's length to cell B's length, we divide cell A's length by cell B's length:

Ratio = Cell A Length / Cell B Length = (9 x 10-7 m) / (3 x 10-8 m)

We can simplify this by dividing 9 by 3, which is 3, and subtracting the exponents (-7) - (-8), which is 1. Thus, the ratio is 3 x 101 or 30:1. Therefore, the correct answer is (d) 30:1.