Question
upstudy study bank question image url

6) Which whole number lies one-quarter of the way between the following numbers? \( \begin{array}{ll}\text { a) } 987320250 \text { and } 987320450 & \text { b) } 250700 \text { and } 251100 \\ \text { c) } 251100 \text { and } 251500 & \text { d) } 250900 \text { and } 251300\end{array} \)

Ask by Carroll Schwartz. in South Africa
Jan 20,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The whole numbers one-quarter of the way between the given pairs are: - **a)** 987,320,300 - **b)** 250,800 - **c)** 251,200 - **d)** 251,000

Solution

To find the whole number that lies one-quarter of the way between two numbers, you can use the following formula: \[ \text{One-quarter point} = \text{First number} + \frac{1}{4} \times (\text{Second number} - \text{First number}) \] Let's apply this to each part: ### a) Between 987,320,250 and 987,320,450 1. **Calculate the difference:** \[ 987,320,450 - 987,320,250 = 200 \] 2. **Find one-quarter of the difference:** \[ \frac{1}{4} \times 200 = 50 \] 3. **Add this to the first number:** \[ 987,320,250 + 50 = 987,320,300 \] **Answer:** **987,320,300** --- ### b) Between 250,700 and 251,100 1. **Calculate the difference:** \[ 251,100 - 250,700 = 400 \] 2. **Find one-quarter of the difference:** \[ \frac{1}{4} \times 400 = 100 \] 3. **Add this to the first number:** \[ 250,700 + 100 = 250,800 \] **Answer:** **250,800** --- ### c) Between 251,100 and 251,500 1. **Calculate the difference:** \[ 251,500 - 251,100 = 400 \] 2. **Find one-quarter of the difference:** \[ \frac{1}{4} \times 400 = 100 \] 3. **Add this to the first number:** \[ 251,100 + 100 = 251,200 \] **Answer:** **251,200** --- ### d) Between 250,900 and 251,300 1. **Calculate the difference:** \[ 251,300 - 250,900 = 400 \] 2. **Find one-quarter of the difference:** \[ \frac{1}{4} \times 400 = 100 \] 3. **Add this to the first number:** \[ 250,900 + 100 = 251,000 \] **Answer:** **251,000** --- **Summary of Answers:** - **a)** 987,320,300 - **b)** 250,800 - **c)** 251,200 - **d)** 251,000

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Extra Insights

To find the whole number that lies one-quarter of the way between two given numbers, first calculate the difference between them, divide that difference by four, and then add that to the smaller number. For \( a) \) The difference between \( 987320250 \) and \( 987320450 \) is \( 200 \). One-quarter of \( 200 \) is \( 50 \). Adding \( 50 \) to \( 987320250 \) gives \( 987320300 \). For \( b) \) The difference between \( 250700 \) and \( 251100 \) is \( 400 \). One-quarter of \( 400 \) is \( 100 \). Adding \( 100 \) to \( 250700 \) gives \( 250800 \). For \( c) \) The difference between \( 251100 \) and \( 251500 \) is \( 400 \). One-quarter of \( 400 \) is \( 100 \). Adding \( 100 \) to \( 251100 \) gives \( 251200 \). For \( d) \) The difference between \( 250900 \) and \( 251300 \) is \( 400 \). One-quarter of \( 400 \) is \( 100 \). Adding \( 100 \) to \( 250900 \) gives \( 251000 \). So, the final answers are: a) \( 987320300 \) b) \( 250800 \) c) \( 251200 \) d) \( 251000 \)

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