Let's analyze Hailey's division work step by step to determine which statements are true:
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Hailey found the correct quotient.
- Hailey’s division of 92 ÷ 5 gives a quotient of 18 and a remainder of 2 (18 R 2). The correct quotient is indeed 18 (since 5 × 18 = 90) and a remainder of 2. So, this statement is true.
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The “1” in the quotient represents the number of tens in each of the 5 groups.
- In the context of the quotient 18, the "1" refers to the 1 ten from the number 18 when looking at the division process. However, this is not how we typically explain the distribution of groups in that way; it actually represents the ten tens that were distributed as whole groups (5 per group). Therefore, in this context, this statement is false.
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Hailey placed the dividend and divisor in the wrong places in the problem.
- Hailey correctly placed the dividend (92) and the divisor (5) in the right order for division. Therefore, this statement is false.
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The “R2” represents the number of ones in each of the 5 groups.
- The remainder (R2) from the division represents what is left after distributing whole groups of 5, which corresponds to 2 ones remaining from the total of 92 after taking out 90 (the equivalent of 18 groups of 5). However, saying "in each of the 5 groups" is misleading; the remainder is what is left over, not the amount in each group. Hence, this statement is false.
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Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.
- This statement is incorrect; the correct understanding is that Hailey subtracted 5 from 9 to see how many of the tens could be utilized. However, since there aren’t really 5 tens to divide (there is just 1 ten in the 92), this calculation isn't applied correctly here. So, this statement is false.
Based on these evaluations, the only true statement regarding Hailey's work is:
- Hailey found the correct quotient.