Question
upstudy study bank question image url

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

Upstudy AI Solution

Tutor-Verified Answer

Answer

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

Solution

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.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

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: \( (4321 \times 9) - 9 = 38880 \).

Latest Arithmetic Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy