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 questions. 4. Vermenigvuldig die getalle deur die tweede getal (vermenigvuldigtal) tot die naaste 100 af te rond. (Multiply the numbers by rounding the second number (multiplicand) to the nearest 100.) a. 6\,572 × 209 Step 1: Round 209 to the nearest 100. 209 ≈ 200 Step 2: Multiply 6\,572 by the rounded number. 6\,572 × 200 = 1\,314\,400 The estimated product is 1 314 400. b. 7\,436 × 689 Step 1: Round 689 to the nearest 100. 689 ≈ 700 Step 2: Multiply 7\,436 by the rounded number. 7\,436 × 700 = 5\,205\,200 The estimated product is 5 205 200. c. 5\,853 × 822 Step 1: Round 822 to the nearest 100. 822 ≈ 800 Step 2: Multiply 5\,853 by the rounded number. 5\,853 × 800 = 4\,682\,400 The estimated product is 4 682 400. d. 4\,634 × 246 Step 1: Round 246 to the nearest 100. 246 ≈ 200 Step 2: Multiply 4\,634 by the rounded number. 4\,634 × 200 = 926\,800 The estimated product is 926 800. e. 9\,365 × 545 Step 1: Round 545 to the nearest 100. 545 ≈ 500 Step 2: Multiply 9\,365 by the rounded number. 9\,365 × 500 = 4\,682\,500 The estimated product is 4 682 500. f. 8\,274 × 374 Step 1: Round 374 to the nearest 100. 374 ≈ 400 Step 2: Multiply 8\,274 by the rounded number. 8\,274 × 400 = 3\,309\,600 The estimated product is 3 309 600. 5. Vermenigvuldig die getalle deur die eerste getal (vermenigvuldiger) en die tweede getal (vermenigvuldigtal) tot die naaste 100 af te rond. (Multiply the numbers by rounding the first number (multiplier) and the second number (multiplicand) to the nearest 100.) a. 7\,697 × 863 Step 1: Round 7\,697 to the nearest 100. 7\,697 ≈ 7\,700 Step 2: Round 863 to the nearest 100. 863 ≈ 900 Step 3: Multiply the rounded numbers. 7\,700 × 900 = 6\,930\,000 The estimated product is 6 930 000. b. 6\,427 × 478 Step 1: Round 6\,427 to the nearest 100. 6\,427 ≈ 6\,400 Step 2: Round 478 to the nearest 100. 478 ≈ 500 Step 3: Multiply the rounded numbers. 6\,400 × 500 = 3\,200\,000 The estimated product is 3 200 000. 6. Gaan terug na vrae 2 - 5. Kontroleer om te sien hoe naby jou antwoorde was deur die getalle met 'n sakrekenaar te vermenigvuldig. (Go back to questions 2 - 5. Check how close your answers were by multiplying the numbers with a calculator.) This step requires you to use a calculator to find the exact products for questions 2, 3, 4, and 5, and then compare them to your estimated answers. This helps you understand the accuracy of your rounding. 7. Skat wat die antwoorde sal wees. Bereken en kontroleer jou berekeninge teenoor jou skatting. (Estimate what the answers will be. Calculate and check your calculations against your estimation.) a. 35\,421 + 42\,365 Step 1: Estimate by rounding to the nearest 1 000. 35\,421 ≈ 35\,000 42\,365 ≈ 42\,000 Estimated sum: 35\,000 + 42\,000 = 77\,000. Step 2: Calculate the exact sum. 35\,421 + 42\,365 = 77\,786 The estimated sum is 77 000 and the exact sum is 77 786. b. 4\,235 × 76 Step 1: Estimate by rounding 4\,235 to the nearest 100 and 76 to the nearest 100. 4\,235 ≈ 4\,200 76 ≈ 100 Estimated product: 4\,200 × 100 = 420\,000. Step 2: Calculate the exact product. 4\,235 × 76 = 321\,860 The estimated product is 420 000 and the exact product is 321 860. Probleemoplossing: Verjaarsdag geld (Word Problem: Birthday money) My ma verkoop verjaarsdag geskenkpakkies. In elke geskenkpakkie is sjokolade ter waarde van R25, lekkers ter waarde van R22 en toffies ter waarde van R18. Die boks vir die lekkers kos R5. My ma voeg nog R20 by vir die maak daarvan en vir haar aflewering koste. Sy het laas jaar R2 320 se geskenkpakkies verkoop. Wat was die totale bedrag geld wat my ma gekry het? (My mom sells birthday gift packages. Each gift package contains chocolate worth R25, sweets worth R22, and toffees worth R18. The box for the sweets costs R5. My mom adds another R20 for making it and for her delivery costs. Last year she sold R2 320 worth of gift packages. What was the total amount of money my mom received?) Assumption: The phrase "R2 320 se geskenkpakkies verkoop" means she sold 2 320 packages, and the question asks for the total revenue from these sales, given the price breakdown per package. Step 1: Calculate the total price of one gift package. Price per package = Chocolate + Sweets + Toffees + Box + Making/Delivery Price per package = R25 + R22 + R18 + R5 + R20 = R90 Step 2: Calculate the total amount of money received for 2 320 packages. Total money received = Number of packages × Price per package Total money received = 2\,320 × R90 = R208\,800 The total amount of money your mom received was R208 800. Got more? Send 'em.