5) Which whole number lies three-quarters 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

5) Which whole number lies three-quarters 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 three-quarters of the way between two given numbers, you can use the following formula:

$$
\text{Desired Number} = \text{Starting Number} + 0.75 \times (\text{Ending Number} - \text{Starting Number})
$$

Let's apply this formula 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 three-quarters of the difference:**
   $$
   0.75 \times 200 = 150
   $$

3. **Add this to the starting number:**
   $$
   987,320,250 + 150 = 987,320,400
   $$

**Answer:** **987,320,400**

---

**b) Between 250,700 and 251,100**

1. **Calculate the difference:**
   $$
   251,100 - 250,700 = 400
   $$

2. **Find three-quarters of the difference:**
   $$
   0.75 \times 400 = 300
   $$

3. **Add this to the starting number:**
   $$
   250,700 + 300 = 251,000
   $$

**Answer:** **251,000**

---

**c) Between 251,100 and 251,500**

1. **Calculate the difference:**
   $$
   251,500 - 251,100 = 400
   $$

2. **Find three-quarters of the difference:**
   $$
   0.75 \times 400 = 300
   $$

3. **Add this to the starting number:**
   $$
   251,100 + 300 = 251,400
   $$

**Answer:** **251,400**

---

**d) Between 250,900 and 251,300**

1. **Calculate the difference:**
   $$
   251,300 - 250,900 = 400
   $$

2. **Find three-quarters of the difference:**
   $$
   0.75 \times 400 = 300
   $$

3. **Add this to the starting number:**
   $$
   250,900 + 300 = 251,200
   $$

**Answer:** **251,200**

---

**Summary of Answers:**

- **a) 987,320,400**
- **b) 251,000**
- **c) 251,400**
- **d) 251,200**
The whole numbers three-quarters of the way between the given pairs are: - **a) 987,320,400** - **b) 251,000** - **c) 251,400** - **d) 251,200**

Which whole number lies three-quarters of the way between the following numbers?

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