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
Right Ashok, let's go. 4. Subtract the first integer from the second integer: a) 6, 18 Step 1: Identify the first and second integers. First integer = 6 Second integer = 18 Step 2: Subtract the first integer from the second. 18 - 6 = 12 The result is 12. b) -3, 6 Step 1: Identify the first and second integers. First integer = -3 Second integer = 6 Step 2: Subtract the first integer from the second. 6 - (-3) = 6 + 3 = 9 The result is 9. 5. Find the value of: a) -37 - (-15) - 2 Step 1: Simplify the double negative. -37 - (-15) - 2 = -37 + 15 - 2 Step 2: Perform the operations from left to right. -37 + 15 = -22 -22 - 2 = -24 The value is -24. b) 16 - [14 - (-2)] Step 1: Simplify the expression inside the innermost parentheses. 14 - (-2) = 14 + 2 = 16 Step 2: Substitute this value back into the expression. 16 - [16] Step 3: Perform the subtraction. 16 - 16 = 0 The value is 0. 6. Using >, < or =, fill in the boxes to make each statement true. a) (-1) + (-5) (-7) - (-5) Step 1: Evaluate the left side. (-1) + (-5) = -1 - 5 = -6 Step 2: Evaluate the right side. (-7) - (-5) = -7 + 5 = -2 Step 3: Compare the two values. -6 < -2 The completed statement is (-1) + (-5) < (-7) - (-5). c) 6 - (-2) + 5 -1 - (-2) - 3 Step 1: Evaluate the left side. 6 - (-2) + 5 = 6 + 2 + 5 = 8 + 5 = 13 Step 2: Evaluate the right side. -1 - (-2) - 3 = -1 + 2 - 3 = 1 - 3 = -2 Step 3: Compare the two values. 13 > -2 The completed statement is 6 - (-2) + 5 > -1 - (-2) - 3. 7. Use commutative and associative property of addition. c) 43 + 21 + 79 = Step 1: Group numbers that are easy to add using the associative property. 43 + (21 + 79) Step 2: Add the numbers in the parentheses. 21 + 79 = 100 Step 3: Add the remaining numbers. 43 + 100 = 143 The sum is 143. 8. Verify: a) [(-18) + 4] + 6 = (-18) + (6 + 4) Step 1: Evaluate the left side. [(-18) + 4] + 6 = [-14] + 6 = -8 Step 2: Evaluate the right side. (-18) + (6 + 4) = (-18) + 10 = -8 Step 3: Compare both sides. -8 = -8 The statement is Verified. c) (11 + 3) + (-9) = 11 + [3 + (-9)] Step 1: Evaluate the left side. (11 + 3) + (-9) = 14 + (-9) = 14 - 9 = 5 Step 2: Evaluate the right side. 11 + [3 + (-9)] = 11 + [3 - 9] = 11 + [-6] = 11 - 6 = 5 Step 3: Compare both sides. 5 = 5 The statement is Verified. Send me the next one 📸