Andrew's computer hard drive has a memory capacity of 1 terabyte, which is $$ 10^{12} $$ bytes. If the size of an image is $$ 5 imes 10^{6} $$ bytes, what is the maximum number of such images that can be saved on Andrew's hard drive?

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Andrew's computer hard drive has a memory capacity of 1 terabyte, which is $$ 10^{12} $$ bytes. If the size of an image is $$ 5 	imes 10^{6} $$ bytes, what is the maximum number of such images that can be saved on Andrew's hard drive?

UpStudy AI · Accepted Answer

To determine the maximum number of images Andrew can store on his 1 terabyte (TB) hard drive, follow these steps:

1. **Understand the Units:**
   - **1 terabyte (TB)** = $$ 10^{12} $$ bytes
   - **Size of one image** = $$ 5 \times 10^{6} $$ bytes

2. **Calculate the Number of Images:**
   
   To find out how many images can fit into 1 TB, divide the total storage capacity by the size of one image:
   
   $$
   \text{Number of images} = \frac{\text{Total Storage}}{\text{Size per Image}} = \frac{10^{12} \text{ bytes}}{5 \times 10^{6} \text{ bytes}}
   $$
   
3. **Perform the Division:**
   
   $$
   \frac{10^{12}}{5 \times 10^{6}} = \frac{10^{12}}{5 \times 10^{6}} = \frac{10^{12}}{5 \times 10^{6}} = 2 \times 10^{5} = 200,\!000
   $$
   
4. **Conclusion:**
   
   Andrew can store **200,000** such images on his 1 TB hard drive.

**Final Answer:**  
A maximum of 200 000 images can be saved on Andrew’s 1 terabyte hard drive.
Andrew can store 200,000 images on his 1 terabyte hard drive.

Andrew's computer hard drive has a memory capacity of 1 terabyte, which is \( 10^{12} \) bytes. If the size of an image is \( 5 \times 10^{6} \) bytes, what is the maximum number of such images that can be saved on Andrew's hard drive?

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