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Determine what the next equation would be, and verify that it is indeed a true statement. \( 60-9=51 \) \( 600-89=511 \) \( 6,000-789=5,211 \) A. \( 6,000-6789=53,211 \) B. \( 600,000-6789=53,211 \) C. \( 60,000-6789=53,211 \) D. \( 60,000-6789=593,211 \)

Ask by Gibbs Cook. in the United States
Mar 09,2025

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Tutor-Verified Answer

Answer

The next equation is \( 60,000 - 6789 = 53,211 \), which is correct.

Solution

The pattern in the equations is as follows: 1. Left-hand side numbers are increasing by a factor of 10: - \( 60 \) - \( 600 \) - \( 6,000 \) - Next would be \( 60,000 \). 2. The subtrahends show a pattern of adding one digit at the front: - \( 9 \) - \( 89 \)  (prepend \(8\)) - \( 789 \) (prepend \(7\)) - Next would be \( 6789 \) (prepend \(6\)). We now verify the fourth equation: \[ 60,000 - 6789 = 53211 \] To compute: \[ 60000 - 6789 = 60000 - 6000 - 789 = 54000 - 789 = 53211. \] Thus, the correct next equation is: \[ 60,000 - 6789 = 53,211 \] The answer is Option C.

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To determine the next equation, let's analyze the pattern in the given equations: 1. \( 60 - 9 = 51 \) 2. \( 600 - 89 = 511 \) 3. \( 6,000 - 789 = 5,211 \) Notice that the first number in each equation has a base of ten that increases by a factor of ten each time: 60, 600, 6,000. The numbers being subtracted also seem to be slightly increasing, but let’s focus on the result patterns too. Calculating step-by-step, we can see: - The result for the first equation is \( 60 - 9 = 51 \). - The result for the second equation gives \( 600 - 89 = 511 \), and if you observe, it's like the first result (51) is getting an additional digit. - Now, looking into the third equation results in \( 6,000 - 789 = 5,211 \). Each time, the result maintains 5 as a constant in the thousands place and the other digits indicate a larger result, following a similar numeric pattern. So if we apply the pattern logic for the next one: For \( 60,000 - 6789 \): - \( 60,000 - 6789 = 53,211 \) (as per calculations). Verifying options: A. \( 6,000-6789=53,211 \) is incorrect in terms of the leading thousands. B. \( 600,000-6789=53,211 \) is too high as it would instantly lead to a much larger result. C. \( 60,000-6789=53,211 \) is what we calculated. D. \( 60,000-6789=593,211 \) is incorrect - the leading number behavior does not support this result. Thus, the correct equation that follows the pattern is: C. \( 60,000-6789=53,211 \) is indeed the next true statement!

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