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: Write down the given expression. (0.0225 × 0.0256)/(0.0015 × 0.48) Step 2: Calculate the product in the numerator. 0.0225 × 0.0256 = 0.000576 Step 3: Calculate the product in the denominator. 0.0015 × 0.48 = 0.000720 Step 4: Divide the numerator by the denominator. (0.000576)/(0.000720) To simplify this fraction, we can multiply both the numerator and the denominator by 10^6 to remove the decimals: (0.000576 × 10^6)/(0.000720 × 10^6) = (576)/(720) Now, simplify the fraction (576)/(720). Both numbers are divisible by 8: (576 ÷ 8)/(720 ÷ 8) = (72)/(90) Both numbers are divisible by 9: (72 ÷ 9)/(90 ÷ 9) = (8)/(10) = 0.8 Step 5: Express the result in standard form. Standard form requires a number a such that 1 |a| < 10, multiplied by a power of 10. 0.8 = 8 × 10^-1 The simplified expression in standard form is 8 × 10^-1. That's 2 down. 3 left today — send the next one.