To analyze Jorge's model for solving the division problem 54 ÷ 4 using base ten blocks, let's break down the statements based on the information provided.
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Jorge should have divided the extra tens block into 10 ones blocks.
- This statement is true. Since 54 consists of 5 tens and 4 ones, if he has a remainder (which he does with 10 after forming groups of 4), he could convert the extra ten into single units to make more complete groups.
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Jorge’s model correctly shows a quotient of 11.
- This statement is incorrect. When dividing 54 by 4, the actual quotient is 13 with a remainder of 2 (because 4 * 13 = 52, and then you have 2 left over from the original 54). However, if Jorge has only depicted 11 in his model, then this would be false.
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Jorge’s model correctly shows a remainder of 10.
- This statement is incorrect. The remainder after dividing 54 by 4 would not be 10 (as mentioned before, it would be 2).
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Jorge has not finished modeling this division problem.
- This statement is true. Since he has leftover blocks that could be used to form additional complete groups (like the extra tens block), it indicates that he hasn't completed the representation of the problem fully.
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Jorge needs to add another group for the extra tens block.
- This statement is also true. He could regroup the 10 from the tens block into one more group of 4 to get closer to the correct quotient and remainder.
Given the analysis, the true statements about Jorge's work are:
- Jorge should have divided the extra tens block into 10 ones blocks.
- Jorge has not finished modeling this division problem.
- Jorge needs to add another group for the extra tens block.
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