Using Multi-base Blocks

Modelling is a way to represent number quantities using mathematical concepts and ideas. In the video below, we discuss the multi-base block model, and how to use it to model or represent number quantities.






Lesson

Watch the lesson below and try your hands on the exercises that follow.








Examples

Example 1

If a cube represents 1,000, what is the value of a rod?

Solution









Example 2

If a cube represents 10,000, what is the value of a rod?

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Example 3

Using multi-base blocks \((1 \ cube = 100,000)\) model the number 1,500,000.

Solution









Example 4

Using multi-base blocks \((1 \ cube = 100,000)\) model the number 21,500,000.

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Example 5

Using multi-base blocks \((1 \ cube = 100,000)\) model the number 100,700,000.

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Key Concepts

\( \begin{eqnarray*} 1 \ rod & = & 10 \times 1 \ cube \\[0.5em] 1 \ flat & = & 10 \times 1 \ rod \\ 1 \ flat & = & 10 \times 10 \ cubes \\[0.5em] 1 \ block & = & 10 \times 1 \ flat \\ 1 \ block & = & 10 \times 10 \ rods \\ 1 \ block & = & 10 \times 10 \times 10 \ cubes \\ \end{eqnarray*} \)






Exercise

Using multi-base blocks \((1 \ cube = 100,000)\) model the following numbers.

  1. 6,000,000
  2. 42,500,000
  3. 7,900,000
  4. 800,000
  5. 91,000,000
  6. 1,500,000
  7. 200,000
  8. 60,400,000
  9. 5,000,000
  10. 87,000,000






Quick Test

Test yourself on what you have learnt so far. Improve on your speed in solving questions.







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