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
Welcome back Prishee — been a while! Let's pick up where you left off. To evaluate the expression without using a calculator, we will simplify the numerator and the denominator separately, following the order of operations (PEMDAS/BODMAS). The expression is: sqrt(0.0625) - 12.4 ÷ 0.4 × 3(1)/(8) of 2.56 + 8.68 Step 1: Simplify the numerator. The numerator is sqrt(0.0625) - 12.4 ÷ 0.4 × 3. First, calculate the square root: sqrt(0.0625) = sqrt((625)/(10000)) = sqrt(625)sqrt(10000) = (25)/(100) = 0.25 Next, perform the division: 12.4 ÷ 0.4 = (12.4)/(0.4) = (124)/(4) = 31 Then, perform the multiplication: 31 × 3 = 93 Finally, perform the subtraction: 0.25 - 93 = -92.75 So, the numerator is -92.75. Step 2: Simplify the denominator. The denominator is (1)/(8) of 2.56 + 8.68. First, calculate "(1)/(8) of 2.56": (1)/(8) × 2.56 = (2.56)/(8) To divide 2.56 by 8: 2.56 ÷ 8 = 0.32 Next, perform the addition: 0.32 + 8.68 = 9.00 So, the denominator is 9. Step 3: Divide the numerator by the denominator. (-92.75)/(9) To perform this division: -92.75 ÷ 9 = -10.30555... This is a repeating decimal. We can write it as -10.305. Alternatively, as a fraction: -(92.75)/(9) = -(9275)/(900) Divide both numerator and denominator by 25: -(9275 ÷ 25)/(900 ÷ 25) = -(371)/(36) As a mixed number: -(10 (11)/(36)) The value of the expression is: -10.305 or -(371)/(36) Send me the next one 📸