Understanding Prime, Square, and Cube Numbers

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Explore the concept of prime numbers, square numbers, and cube numbers through engaging examples and visual representations. Learn how to identify square numbers and understand the difference between squares and cubes. Dive into mathematical reasoning and have fun solving related questions.

  • Prime numbers
  • Square numbers
  • Cube numbers
  • Mathematics
  • Explained

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  1. 1) Write the first 5 prime numbers: 2) 2 2 2 = 3) 9 9 = 4) 5 5 5 =

  2. 1) Write the first 5 prime numbers: 2, 3, 5, 7, 11 2) 2 2 2 = 8 3) 9 9 = 81 4) 5 5 5 = 125

  3. Which of these numbers are square numbers? How can you prove it? 0.25 9 8 16 3 3 = 9 0.5 0.5 = 0.25 The result of a number multiplied by itself Has to be a whole number Have a think

  4. Which of these numbers are square numbers? How can you prove it? 9 8 16 3 3 = 9 4 4 = 16 The result of a number multiplied by itself Has to be a whole number Has to build a square Has to build a complete square

  5. Square numbers The result of a number multiplied by itself Has to be a whole number Has to build a complete square 2 2 Two squared 2

  6. Cube numbers The result of a number multiplied by itself and then multiplied by itself again 2 2 2 2 Two cubed = 8

  7. How many cubes do you need to build a 4 4 4 cube? 4 4 4 4 4 cubed 64 cubes Have a think

  8. Have a go at all of the questions on the worksheet

  9. Dexter works out 20 squared Annie works out 20 cubed Find the difference between Dexter s and Annie s numbers. 20 20 = 400 Dexter: 20 20 20 = 8,000 Annie: 8,000 400 = 7,600

  10. Dexter works out 20 squared Annie works out 20 cubed Find the difference between Dexter s and Annie s numbers. 400 19 Dexter: 20 400 Annie: 400 Th H T O 400 19 = 7,600 4 0 0 1 9 Have a think 3 6 0 0 What if Dexter was working out 17 and Annie was working out 17 ? + 4 0 0 0 7 6 0 0

  11. What if Dexter was working out 17 and Annie was working out 17 ? Th H T O Th H T O Th H T O 1 8 0 1 1 7 2 8 9 4 9 1 3 1 7 1 7 2 8 9 4 6 2 4 1 1 9 2 0 2 3 + + 1 7 0 8 9 0 2 4 2 8 9 9 1 3

  12. What if Dexter was working out 17 and Annie was working out 17 ? 289 16 Dexter: 17 289 Annie: 289 Th H T O 289 16 = 4,624 2 8 9 1 6 1 7 3 4 + 2 8 9 0 4 6 2 4

  13. What if Dexter was working out 17 and Annie was working out 17 ? What s the same? What s different? Have a think

  14. When Mo adds two numbers he gets a prime number. When he multiplies them he gets a square number. 1 4 9 1 9 3 3 1 4 2 2 1 16 25 36 1 36 2 18 3 12 4 9 1 16 2 8 4 4 1 25 5 5 2, 3, 5, 7, 11, 13, 17, 19, 23,

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