Pregunta
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Determine what the next equation would be, and verify that it is indeed a true statement. \( (1 \times 9)-9=0 \) \( (21 \times 9)-9=180 \) \( (321 \times 9)-9=2,880 \) A. \( (4321 \times 9)-9=38,880 \) B. \( (432 \times 9)-9=38,880 \) C. \( (4321 \times 9)-9=3,879 \) D. \( (4321 \times 9)-9=28,880 \)

Ask by Joseph Bush. in the United States
Mar 09,2025

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The next equation is \( (4321 \times 9) - 9 = 38,880 \), which is option A.

Solución

We first analyze the pattern in the multiplicands. Notice that the numbers multiplied by \(9\) are: \[ 1,\quad 21,\quad 321,\quad 4321,\quad \ldots \] This suggests that the next number in the pattern is \(4321\). Now, we calculate: \[ (4321 \times 9) - 9 \] Step 1: Multiply \(4321\) by \(9\): \[ 4321 \times 9 = 38889 \] Step 2: Subtract \(9\) from \(38889\): \[ 38889 - 9 = 38880 \] Thus, the next equation is: \[ (4321 \times 9) - 9 = 38880 \] Among the answer choices, option A states: \[ (4321 \times 9)-9=38,880 \] This confirms that option A is correct.

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Extra Insights

To find the next equation, we first need to understand the pattern in the provided equations. The equations suggest a relationship between the number before the multiplication, the multiplication by 9, and then subtracting 9. Let's break each equation down: 1. \( (1 \times 9) - 9 = 0 \) : This simplifies to \( 9 - 9 = 0 \). 2. \( (21 \times 9) - 9 = 180 \) : This simplifies to \( 189 - 9 = 180 \). 3. \( (321 \times 9) - 9 = 2880 \) : This simplifies to \( 2889 - 9 = 2880 \). Following the pattern, the result of each equation seems to increase significantly, so let's compute \( (4321 \times 9) - 9 \) to see if it matches with any of the options. Calculating it gives: \[ 4321 \times 9 = 38889 \] Then subtracting 9 gives: \[ 38889 - 9 = 38880 \] Thus, the correct next equation is: A. \( (4321 \times 9) - 9 = 38,880 \). And here’s the verification, it is indeed a true statement as calculated: \( (4321 \times 9) - 9 = 38880 \).

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