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
To multiply the given numbers, we will multiply the numerical parts and the powers of 10 separately. Step 1: Multiply the numerical parts. 2.7 × 6.3 = 17.01 Step 2: Multiply the powers of 10. When multiplying powers with the same base, add their exponents. 10^-4 × 10^6 = 10^(-4) + 6 = 10^2 Step 3: Combine the results from Step 1 and Step 2. 17.01 × 10^2 Step 4: Express the result in standard form. Standard form requires the numerical part to be between 1 and 10. To change 17.01 to a number between 1 and 10, we move the decimal point one place to the left, making it 1.701. Since we moved the decimal point one place to the left, we increase the power of 10 by 1. 17.01 × 10^2 = 1.701 × 10^2+1 = 1.701 × 10^3 The product in standard form is 1.701 × 10^3. 3 done, 2 left today. You're making progress.