Question

Jack bought an external hard drive with 1 TB, or 1x 10¹², bytes of available space. So far he has used up 7.4x10⁸ bytes. How much space does he have available?

Answer 1

Jack's external hard drive has a remaining space of 0.926 x 10¹² bytes after he has used 7.4 x 10¸ bytes of its 1 TB capacity.

Step-by-step explanation:

Jack bought an external hard drive with a capacity of 1 TB, which is 1 x 10¹² bytes. After using 7.4 x 10¸ bytes, we need to calculate the remaining space on his external hard drive. We perform this calculation using subtraction in scientific notation.

To find the remaining space, we subtract the used space from the total capacity:

1. Total capacity = 1 x 10¹² bytes
2. Used space = 7.4 x 10¸ bytes
3. Remaining space = Total capacity - Used space
4. Remaining space = (1 x 10¹²) - (7.4 x 10¸) bytes
5. To subtract these, we need the exponents to match, so we convert 7.4 x 10¸ to 0.074 x 10¹²
6. Remaining space = (1 - 0.074) x 10¹²
7. Remaining space = 0.926 x 10¹² bytes

Therefore, the remaining space on Jack's external hard drive is 0.926 x 10¹² bytes.