The size of a certain cell is 4.75 x 10^-7m.
Another cell is 1.2 x 10^4times larger. How large is the larger cell in scientific notation?
To determine the size of the larger cell in scientific notation, you will need to multiply the size of the smaller cell by the given factor of 1.2 x 10^4.
Step 1: Convert the size of the smaller cell to scientific notation if it isn't already in that form.
The size of the smaller cell is 4.75 x 10^-7m, which is already in scientific notation.
Step 2: Multiply the size of the smaller cell by the factor of 1.2 x 10^4.
(4.75 x 10^-7m) * (1.2 x 10^4) = (4.75 * 1.2) * (10^-7 * 10^4) = 5.7 * 10^(-7 + 4) = 5.7 x 10^-3
Therefore, the larger cell is 5.7 x 10^-3m in scientific notation.
because multiplication is associative,
4.75x10^-7 * 1.2x10^4 = (4.75*1.2) x 10^(-7+4) = ____ x 10^-3