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
Hey Kaido, good to see you again. Here are the solutions to the problems: 1. Calculate the following: a) Step 1: Perform the addition. -8 + 6 = -2 The result is -2. b) Step 1: Perform the subtraction. -12 - 20 = -32 The result is -32. c) Step 1: Change the subtraction of a negative number to addition. 20 - (-30) = 20 + 30 Step 2: Perform the addition. 20 + 30 = 50 The result is 50. d) Step 1: Simplify the expression by removing the parentheses. -9 + (-12) = -9 - 12 Step 2: Perform the subtraction. -9 - 12 = -21 The result is -21. e) Step 1: Change the subtraction of a negative number to addition. 3 - (-8) = 3 + 8 Step 2: Perform the addition. 3 + 8 = 11 The result is 11. f) Step 1: Perform the subtraction. 14 - 28 = -14 The result is -14. g) Step 1: Perform the addition. -14 + 26 = 12 The result is 12. h) Step 1: Perform the subtraction. -100 - 200 = -300 The result is -300. 2. Simplify the following: a) Step 1: Simplify the expression by removing the parentheses. 15 + (-11) = 15 - 11 Step 2: Perform the subtraction. 15 - 11 = 4 The simplified expression is 4. b) Step 1: Perform the subtraction. -230 - 245 = -475 The simplified expression is -475. c) Step 1: Change the subtraction of a negative number to addition. 300 - (-300) = 300 + 300 Step 2: Perform the addition. 300 + 300 = 600 The simplified expression is 600. d) Step 1: Simplify the expression by removing the parentheses. 1235 + (-1100) = 1235 - 1100 Step 2: Perform the subtraction. 1235 - 1100 = 135 The simplified expression is 135. 3. Write down the value of n that makes each of the following true: a) Step 1: Calculate the left side of the equation. -12 + 12 = n 0 = n The value of n is 0. b) Step 1: Isolate n by adding 10 to both sides of the equation. -10 + n = 6 n = 6 + 10 Step 2: Perform the addition. n = 16 The value of n is 16. c) Step 1: Isolate n by subtracting 10 from both sides of the equation. 10 + n = 4 n = 4 - 10 Step 2: Perform the subtraction. n = -6 The value of n is -6. d) Step 1: Calculate the left side of the equation. -8 + 2 = n - 8 -6 = n - 8 Step 2: Isolate n by adding 8 to both sides of the equation. -6 + 8 = n 2 = n The value of n is 2. e) Step 1: Calculate the left side of the equation. 11 - 15 = -15 + n -4 = -15 + n Step 2: Isolate n by adding 15 to both sides of the equation. -4 + 15 = n 11 = n The value of n is 11. f) Step 1: Isolate -n by adding 7 to both sides of the equation. -7 - n = -15 -n = -15 + 7 -n = -8 Step 2: Multiply both sides by -1 to find n. n = 8 The value of n is 8. Send me the next one 📸