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.
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Here are the solutions to the questions: 3. Vind die faktore van 1 000 000. Onthou dat faktore in pare voorkom. To find the factors of 1,000,000, we list all pairs of numbers that multiply to 1,000,000. Step 1: List the factor pairs of 1,000,000. 1 × 1\,000\,000 = 1\,000\,000 2 × 500\,000 = 1\,000\,000 4 × 250\,000 = 1\,000\,000 5 × 200\,000 = 1\,000\,000 8 × 125\,000 = 1\,000\,000 10 × 100\,000 = 1\,000\,000 16 × 62\,500 = 1\,000\,000 20 × 50\,000 = 1\,000\,000 25 × 40\,000 = 1\,000\,000 32 × 31\,250 = 1\,000\,000 40 × 25\,000 = 1\,000\,000 50 × 20\,000 = 1\,000\,000 80 × 12\,500 = 1\,000\,000 100 × 10\,000 = 1\,000\,000 125 × 8\,000 = 1\,000\,000 160 × 6\,250 = 1\,000\,000 200 × 5\,000 = 1\,000\,000 250 × 4\,000 = 1\,000\,000 400 × 2\,500 = 1\,000\,000 500 × 2\,000 = 1\,000\,000 625 × 1\,600 = 1\,000\,000 800 × 1\,250 = 1\,000\,000 1\,000 × 1\,000 = 1\,000\,000 The factors of 1,000,000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 6250, 8000, 10000, 12500, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000. 4. Skryf die veelvoude van hierdie getalle neer, maar nie groter as 1 000 000 nie. a. 100 000: The multiples of 100,000 up to 1,000,000 are: 100 000, 200 000, 300 000, 400 000, 500 000, 600 000, 700 000, 800 000, 900 000, 1 000 000. b. 250 000: The multiples of 250,000 up to 1,000,000 are: 250 000, 500 000, 750 000, 1 000 000. c. 125 000: The multiples of 125,000 up to 1,000,000 are: 125 000, 250 000, 375 000, 500 000, 625 000, 750 000, 875 000, 1 000 000. d. 300 000: The multiples of 300,000 up to 1,000,000 are: 300 000, 600 000, 900 000. e. 200 000: The multiples of 200,000 up to 1,000,000 are: 200 000, 400 000, 600 000, 800 000, 1 000 000. Probleemoplossing: Palesa het 126 boeke wat in ewe groot stapels gepak is. Noem al die maniere waarop die boeke gestapel kan word. This question asks for all the factors of 126, as each factor represents a possible number of books per stack (or number of stacks). Step 1: Find the prime factorization of 126. 126 = 2 × 63 = 2 × 3 × 21 = 2 × 3 × 3 × 7 = 2^1 × 3^2 × 7^1 Step 2: List all factors by combining the prime factors. The factors of 126 are: 1 2 3 7 2 × 3 = 6 2 × 7 = 14 3 × 3 = 9 3 × 7 = 21 2 × 3 × 3 = 18 2 × 3 × 7 = 42 3 × 3 × 7 = 63 2 × 3 × 3 × 7 = 126 The ways Palesa can stack the books are in stacks of: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, or 126 books. That's 2 down. 3 left today — send the next one.