Jessie divided her beads into 2 equal groups. There was 1 bead left over.
Jessie said that she has an even number of beads. Lilly said that Jessie has an odd number of beads.
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Part A
(2 points)
Who is right?
Lilly
Part B
Explain your answer.
When an even number of beads is divided into 2 equal groups, there
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When an odd number of beads is divided into 2 equal groups, there
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When an even number of beads is divided into 2 equal groups, there is never a remainder (or bead left over).
When an odd number of beads is divided into 2 equal groups, there is always a remainder (or bead left over).
In this scenario, Jessie divided her beads into 2 equal groups and there was 1 bead left over. This means the total number of beads must be an odd number. Therefore, Lilly is right in saying that Jessie has an odd number of beads.
Part A: Who is right?
Lilly
Part B: Explain your answer.
When an even number of beads is divided into 2 equal groups, there will be no beads left over in each group. Since Jessie had 1 bead left over, this means that her total number of beads is not even. Therefore, Jessie does not have an even number of beads, and Lilly is correct in saying that Jessie has an odd number of beads.
Part A: Who is right?
Lilly
Part B: Explain your answer.
When an even number of beads is divided into 2 equal groups, there will not be any beads left over. This is because each group will have an equal number of beads, so they will be divided evenly. Since Jessie said she has an even number of beads but there was 1 bead left over after dividing them into 2 equal groups, it means that she actually has an odd number of beads. Therefore, Lilly is right in saying that Jessie has an odd number of beads.