Subjects algebra

Scientific Notation Subtraction Dcff4C

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to evaluate $$(9.27 \times 10^7) - (2.8 \times 10^4)$$ and express the result in scientific notation. 2. Recall that scientific notation expresses numbers as $a \times 10^n$ where $1 \leq a < 10$ and $n$ is an integer. 3. To subtract these numbers, they must have the same power of 10. We rewrite $2.8 \times 10^4$ as $0.00028 \times 10^7$ to match the power of $10^7$: $$2.8 \times 10^4 = 2.8 \times 10^{4} = 0.00028 \times 10^{7}$$ 4. Now subtract the coefficients: $$9.27 - 0.00028 = 9.26972$$ 5. So the result is: $$9.26972 \times 10^7$$ 6. This is already in scientific notation since $1 \leq 9.26972 < 10$. Final answer: $$9.26972 \times 10^7$$