This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Alright mondekafungwa088 — let's do this. To subtract numbers in different bases, it's often easiest to convert them to base 10, perform the operation, and then convert the result back to the original base. Step 1: Convert the numbers from base 8 to base 10. The first number is 645_8. 645_8 = 6 × 8^2 + 4 × 8^1 + 5 × 8^0 = 6 × 64 + 4 × 8 + 5 × 1 = 384 + 32 + 5 = 421_10 The second number is 776_8. 776_8 = 7 × 8^2 + 7 × 8^1 + 6 × 8^0 = 7 × 64 + 7 × 8 + 6 × 1 = 448 + 56 + 6 = 510_10 Step 2: Perform the subtraction in base 10. We need to calculate 645_8 - 776_8, which is equivalent to 421_10 - 510_10. 421_10 - 510_10 = -89_10 Step 3: Convert the absolute value of the result (89_10) from base 10 back to base 8. We use successive division by 8: 89 ÷ 8 = 11 remainder 1 11 ÷ 8 = 1 remainder 3 1 ÷ 8 = 0 remainder 1 Reading the remainders from bottom to top, 89_10 = 131_8. Step 4: Apply the negative sign to the base 8 result. Since the result of the subtraction in base 10 was negative, the final answer in base 8 is also negative. 645_8 - 776_8 = -131_8 What's next? 📸