A small organism with a length of 7.5x10^-5 meter tripled in size. Write the new length in standard notation

multiply the 7.5 times 3 to give you

22.5 times 10^-5

To get to standard notation you need to write the 22.5 as 2.25 x 10^1

combine the 1 + -5 to get -4 because we have the same base of 10. When multiplying, you keep the base and add the exponents.

2.25 x 10^-4

To find the new length, we need to multiply the initial length by 3.

Initial length: 7.5 x 10^-5 meters

New length = (7.5 x 10^-5) x 3

To multiply the numbers, we multiply the coefficients (7.5 x 3) and add the exponents of 10.

7.5 x 3 = 22.5

10^-5

Therefore, the new length in standard notation is: 22.5 x 10^-5 meters

To write the new length in standard notation, we first need to find the result of tripling the length of the organism.

Let's perform the calculation:
Original length = 7.5 × 10^-5 meters
Triple the length = 3 × (7.5 × 10^-5 meters)

To multiply these numbers, we multiply the numerical parts and add the exponents of 10:
3 × 7.5 = 22.5
10^-5

So, the new length is 22.5 × 10^-5 meters.

To write this in standard notation or decimal form, we need to move the decimal point to the appropriate place based on the exponent of 10. Since the exponent is negative, we move the decimal point 5 places to the left.

The final answer in standard notation is:
0.000225 meters