Final answer:
Numbers in scientific notation are written as a product of a number between 1 and 10, and a power of 10. The provided numbers can be converted accordingly, ensuring the first factor is between 1 and 10 and adjusting the exponent of 10 to accommodate the movement of the decimal place.
Step-by-step explanation:
To write numbers in scientific notation, you should express them as a product of two factors: a number between 1 and 10, and a power of 10. Here's how you can convert the provided numbers:
- a. 2342432145324151 should be written as 2.342432145324151 × 1015.
- b. 4532000 x 10-6 should first be rewritten as 4.532 x 106, and then combined with the 10-6 to get 4.532 x 100 or simply 4.532, since any number raised to the power of 0 is 1.
- c. 0.00009234 should be written as 9.234 × 10-5.
To perform the conversion accurately and efficiently, we move the decimal place until we're left with a number between 1 and 10, then count the number of places the decimal point has moved to determine the exponent of 10.
Applying this process to the given numbers:
a. 2342432145324151 can be written as 2.342432145324151 × 10^15
b. 4532000 × 10^-6 can be written as 4.532000 × 10^-2
c. 0.00009234 can be written as 9.234 × 10^-5