This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Rewrite the first number with the same exponent as the second number. To subtract numbers in scientific notation, their exponents must be the same. We will convert 3 × 10^-5 to have an exponent of -3. 3 × 10^-5 = 3 × 10^-2 × 10^-3 = 0.03 × 10^-3 Step 2: Perform the subtraction. Now that both numbers have the same exponent (10^-3), we can subtract their coefficients. (0.03 × 10^-3) - (8 × 10^-3) = (0.03 - 8) × 10^-3 0.03 - 8 = -7.97 So the expression becomes: -7.97 × 10^-3 Step 3: Ensure the result is in standard scientific notation. A number is in standard scientific notation when it is written as a × 10^b, where 1 |a| < 10 and b is an integer. In our result, -7.97 satisfies 1 |-7.97| < 10. The final answer is -7.97 × 10^-3. That's 2 down. 3 left today — send the next one.