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 the problems: 4. Find the next six square numbers in this pattern: 1; 4; 9. Step 1: Identify the pattern. The given numbers are 1^2=1, 2^2=4, 3^2=9. Step 2: Calculate the next six square numbers. 4^2 = 16 5^2 = 25 6^2 = 36 7^2 = 49 8^2 = 64 9^2 = 81 The next six square numbers are 16, 25, 36, 49, 64, 81. 5. Calculate: a) Step 1: Calculate the square. 5^2 = 5 × 5 = 25 b) Step 1: Calculate the square. 8^2 = 8 × 8 = 64 d) Step 1: Calculate the square. 10^2 = 10 × 10 = 100 e) Step 1: Calculate the square. 11^2 = 11 × 11 = 121 6. Compare these calculations. Fill in >; <; =. a) Step 1: Calculate both sides. 2^2 = 2 × 2 = 4 2 × 2 = 4 Step 2: Compare the results. 4 = 4 So, 2^2 = 2 × 2. b) Step 1: Calculate both sides. 5^2 = 5 × 5 = 25 5 × 2 = 10 Step 2: Compare the results. 25 > 10 So, 5^2 > 5 × 2. d) Step 1: Calculate both sides. 9^2 = 9 × 9 = 81 9 × 2 = 18 Step 2: Compare the results. 81 > 18 So, 9^2 > 9 × 2. e) Step 1: Calculate both sides. 11 × 11 = 121 11^2 = 11 × 11 = 121 Step 2: Compare the results. 121 = 121 So, 11 × 11 = 11^2. Last free one today — make it count tomorrow, or type /upgrade for unlimited.