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What number is modelled by the following multi-base materials?

Mathematics

ScanSolve AI Answer

Step-by-step solution

9 steps

The problem asks to determine the number represented by the given multi-base materials. In the context of base-10 blocks:

  • A "cube" represents 1 unit.
  • A "rod" represents 10 units.
  • A "flat" represents 100 units.

Let's calculate the number for each item.

1) 4 flats, 2 rods, and 9 cubes

  1. Calculate the value of each type of material.

    4 flats=4×100=4004 \text{ flats} = 4 \times 100 = 400 2 rods=2×10=202 \text{ rods} = 2 \times 10 = 20 9 cubes=9×1=99 \text{ cubes} = 9 \times 1 = 9
  2. Sum the values.

    400+20+9=429400 + 20 + 9 = 429

    The number is 429\boxed{429}.

    2) 8 flats, 8 rods, and 8 cubes

  3. Calculate the value of each type of material.

    8 flats=8×100=8008 \text{ flats} = 8 \times 100 = 800 8 rods=8×10=808 \text{ rods} = 8 \times 10 = 80 8 cubes=8×1=88 \text{ cubes} = 8 \times 1 = 8
  4. Sum the values.

    800+80+8=888800 + 80 + 8 = 888

    The number is 888\boxed{888}.

    3) 6 Cubes

  5. Calculate the value of the cubes.

    6 cubes=6×1=66 \text{ cubes} = 6 \times 1 = 6

    The number is 6\boxed{6}.

    4) 3 rods, 5 Cubes

  6. Calculate the value of each type of material.

    3 rods=3×10=303 \text{ rods} = 3 \times 10 = 30 5 cubes=5×1=55 \text{ cubes} = 5 \times 1 = 5
  7. Sum the values.

    30+5=3530 + 5 = 35

    The number is 35\boxed{35}.

    5) 7 flats, 3 Cubes

  8. Calculate the value of each type of material.

    7 flats=7×100=7007 \text{ flats} = 7 \times 100 = 700 3 cubes=3×1=33 \text{ cubes} = 3 \times 1 = 3
  9. Sum the values.

    700+3=703700 + 3 = 703

    The number is 703\boxed{703}.

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