Final answer:
The number 0.00045 in scientific notation is 4.5 × 10^-4. For the additional exercise, 0.00000000552 × 0.0000000006188 equals 3.416 × 10^-18 when expressed in scientific notation and limited to four significant figures.
Step-by-step explanation:
The number 0.00045 in scientific notation is expressed as 4.5 × 10-4. To convert a decimal number to scientific notation, you move the decimal point until you have a number between 1 and 9. This number becomes the coefficient. The number of places you moved the decimal point becomes the exponent on 10. If you move the decimal to the right, the exponent will be negative, indicating a very small number.
For additional exercises, evaluating 0.00000000552 × 0.0000000006188:
- Rewrite in scientific notation: 5.52 × 10-9 and 6.188 × 10-10.
- Multiply the coefficients: 5.52 × 6.188 = 34.15776.
- Add the exponents: -9 + (-10) = -19.
- The answer in scientific notation rounded to four significant figures is 3.416 × 10-18.