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
Let's estimate and calculate these multiplication problems. a) 31 × 29 Step 1: Estimate the product. Round 31 to 30 and 29 to 30. 30 × 30 = 900 The estimated product is 900. Step 2: Calculate the exact product. 31 × 29 = 899 The exact product is 899. Step 3: Verify the student's answer. The student's answer of 899 is correct. The estimate of 900 is close to the exact answer. The answer is 899. b) 18 × 22 Step 1: Estimate the product. Round 18 to 20 and 22 to 20. 20 × 20 = 400 The estimated product is 400. Step 2: Calculate the exact product. 18 × 22 = 396 The exact product is 396. Step 3: Verify the student's answer. The student's answer of 396 is correct. The estimate of 400 is close to the exact answer. The answer is 396. c) 18 × 13 Step 1: Estimate the product. Round 18 to 20 and 13 to 10. 20 × 10 = 200 The estimated product is 200. Step 2: Calculate the exact product. 18 × 13 = 234 The exact product is 234. Step 3: Verify the student's answer. The student's answer of 234 is correct. The estimate of 200 is reasonably close to the exact answer. The answer is 234. 3 done, 2 left today. You're making progress.