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

Question

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

UpStudy AI · Accepted Answer

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
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

Which whole number lies one-quarter of the way between the following numbers?

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