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
Here are the solutions to your math problems: 1. Write down the missing numbers in the following patterns: a) The pattern increases by 5 each time. -25, -20, -15, -10, -5, 0, 5, 10, 15, 20 b) The pattern increases by 1 each time. -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 2. Use one of the following signs, <, >, or =, to make these sentences true: a) 27 > 1 b) 13 + 6 > 0 (since 13+6=19) c) 4 > 0 d) -5 > -8 3. Write down the missing numbers to complete the following sentences: a) -9 × 3 = -27 b) 32 ÷ 4 = 8 c) 36 ÷ 2 = 18 d) 5 × 7 = 35 e) 64 ÷ 8 = 8 4. Arrange the following numbers: a) Arrange the following numbers in ascending order: 48, -50, -12, 0 -50, -12, 0, 48 b) Arrange the following numbers in descending order: -36, 24, -15, 1 24, 1, -15, -36 5. Evaluate (find the value of): a) 12 - 6 - (-10) Step 1: Simplify the double negative. 12 - 6 + 10 Step 2: Perform the operations from left to right. 6 + 10 = 16 b) -4 + 9 + (-11) Step 1: Simplify the addition of a negative number. -4 + 9 - 11 Step 2: Perform the operations from left to right. 5 - 11 = -6 c) 7 - 14 - (-21) Step 1: Simplify the double negative. 7 - 14 + 21 Step 2: Perform the operations from left to right. -7 + 21 = 14 6. Calculate: a) 5 × (-3) × 2 Step 1: Multiply the first two numbers. -15 × 2 Step 2: Multiply the result by the last number. -30 b) 6 × (-2) × 4 Step 1: Multiply the first two numbers. -12 × 4 Step 2: Multiply the result by the last number. -48 c) 3 × (-8) × 2 Step 1: Multiply the first two numbers. -24 × 2 Step 2: Multiply the result by the last number. -48 d) -4 × (-7) × 1 Step 1: Multiply the first two numbers. 28 × 1 Step 2: Multiply the result by the