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(10) There are four numbers in a set. Three of the numbers in the set are shown. 2,\( 897 ; 2,561 ; 2,348 \) The fourth number in the set is the greatest number. Which of these numbers could be the fourth number? A. 2,964 B. 2,478 C. 2,368 (D. 2,125

Ask by Watson Page. in the United States
Mar 09,2025

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Answer

The fourth number could be 2,964.

Solution

1. List the given numbers: \[ 2897,\quad 2561,\quad 2348 \] 2. Identify the greatest number among the three: \[ \text{Greatest among given numbers} = 2897 \] 3. Since the fourth number is the greatest in the set, it must satisfy: \[ \text{Fourth number} > 2897 \] 4. Evaluate each option: - **Option A:** \(2964 > 2897\) - **Option B:** \(2478 < 2897\) - **Option C:** \(2368 < 2897\) - **Option D:** \(2125 < 2897\) 5. Only Option A satisfies the condition. Thus, the fourth number could be \[ \boxed{2964} \]

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To find the greatest number that could be the fourth number in the set, you'll want to compare it against the largest number already given, which is 2,897. Among the options provided, the only number greater than 2,897 is 2,964. Therefore, 2,964 is the suitable choice as the greatest number that can be included in the set. Regarding the other options: - 2,478, 2,368, and 2,125 are all less than 2,897 and thus cannot be the greatest number in the set. So, the answer is **A. 2,964.** Happy number crunching!

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