The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using this method:

Cell C: 4, point, 1, 6, times, 10, to the power minus 24.16×10
−2
centimeters
Cell D: 9, point, 5, times, 10, to the power minus 49.5×10
−4
centimeters
How much larger is the diameter of cell C than the diameter of cell D? Express your answer using scientific notation.

1 answer

To find the difference in diameter between cell C and cell D, we need to subtract the diameter of cell D from the diameter of cell C.

The diameter of cell C is 4.16 × 10^(-2) cm and the diameter of cell D is 9.5 × 10^(-4) cm.

To subtract the two numbers, we need to convert them to the same power of 10. In this case, let's convert them to the same power of 10 as the larger number, which is 10^(-2).

The diameter of cell D in scientific notation with a power of 10^(-2) is 0.95 × 10^(-2) cm.

Now we can subtract the two numbers:

4.16 × 10^(-2) cm - 0.95 × 10^(-2) cm = 3.21 × 10^(-2) cm.

Therefore, the diameter of cell C is 3.21 × 10^(-2) cm larger than the diameter of cell D.