Final answer:
The solution to the problem 1.034 - (4.5 × 10⁻²) in scientific notation is 9.89 × 10⁻¹. We adjusted the decimal of 1.034 to match the exponent of the second term, performed the subtraction, and then expressed the result in proper scientific notation.
Step-by-step explanation:
To solve the problem 1.034 – (4.5 × 10⁻²) with both numbers in scientific notation, first, we convert 1.034 into scientific notation. The number 1.034 is already between 1 and 10, so it remains as 1.034 × 10⁹. The given expression now looks like (1.034 × 10⁹) – (4.5 × 10⁻²).
Since the exponents are different, we need to make them the same to proceed with the subtraction. We can rewrite 1.034 as 103.4 × 10⁻² to match the exponent of the second term. The expression becomes (103.4 × 10⁻²) – (4.5 × 10⁻²), which simplifies to 98.9 × 10⁻².
Finally, bring back the result to proper scientific notation, by adjusting the decimal point: 9.89 × 10⁻¹ (which is the same as 9.89 × 10⁹ adjusted by one order of magnitude).
Therefore, the solution in scientific notation is 9.89 × 10⁻¹.