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The Fewest Pieces Rule
The TIMS Candy Company decided that the best way to record the amount of candy it makes is to use the smallest possible number of base-ten pieces. The company calls this the Fewest Pieces Rule. For example, the best way to record 32 candies is to use 3 skinnies and 2 bits.
The best way to record 457 candies is to use 4 flats, 5 skinnies, and 7 bits.
Writing a number showing partitions using the Fewest Pieces Rule is using expanded form. Expanded form for 457 is 400 + 50 + 7. Standard form is 457. So we write 457 = 400 + 50 + 7.
- Show each number using base-ten shorthand. Make sure your answer uses the Fewest Pieces Rule. Write a number sentence with expanded form on one side of the equal sign and standard form on the other like the example above.
- 236
- 507
- 5235
- 6048
In Questions 14–20:
- Write a number sentence and tell how many Chocos were made.
- Then, check if the Fewest Pieces Rule is followed. If it is not, use base-ten shorthand to show the candy using the fewest pieces possible. Write a new number sentence to match.
Ex.
- 400 + 60 + 12 = 472
- No, the Fewest Pieces Rule is not being used.
400 + 70 + 2 = 472