Each page of a document requires

Question

\[8113 \text{ B}\] (bytes).
Choose the best approximation of the number of bytes required for a page of a document.
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[8 \cdot 10^2\text{ B}\]
A
\[8 \cdot 10^2\text{ B}\]
(Choice B)
\[8 \cdot 10^{3}\text{ B}\]
B
\[8 \cdot 10^{3}\text{ B}\]
Rhonda has a USB drive that can hold
\[8{,}000{,}000{,}000\text{ B}\].
Choose the best approximation of the number of bytes that Rhonda's USB drive can hold.
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[8 \cdot 10^{8}\text{ B}\]
A
\[8 \cdot 10^{8}\text{ B}\]
(Choice B)
\[8 \cdot 10^{9}\text{ B}\]
B
\[8 \cdot 10^{9}\text{ B}\]
Approximately how many pages can Rhonda's USB drive hold?
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[1\cdot10^6\] pages
A
\[1\cdot10^6\] pages
(Choice B)
\[8\cdot10^6\] pages
B
\[8\cdot10^6\] pages
(Choice C)
\[1\cdot10^7\] pages
C
\[1\cdot10^7\] pages

Answer 1

To solve the questions, let's break them down step by step.

1. Find the best approximation of the number of bytes required for a page of a document: \[8113 \text{ B} = 8.113 \cdot 10^3 \text{ B}\] When rounding to 1 significant figure, we can approximate this as: \[8 \cdot 10^3 \text{ B}\] Therefore, the correct choice is: Choice B: \[8 \cdot 10^{3} \text{ B}\]

2. Find the best approximation of the number of bytes that Rhonda's USB drive can hold: \[8{,}000{,}000{,}000 \text{ B} = 8 \cdot 10^9 \text{ B}\] So, the correct choice is: Choice B: \[8 \cdot 10^{9} \text{ B}\]

3. Calculate approximately how many pages Rhonda's USB drive can hold: Given that each page requires \(8113 \text{ B}\): \[ \text{Number of pages} = \frac{8{,}000{,}000{,}000 \text{ B}}{8113 \text{ B}} \] Calculating this gives: \[ \text{Number of pages} \approx \frac{8{,}000{,}000{,}000}{8{,}113} \approx 985{,}000 \text{ pages} \] This can be approximated to \(1 \cdot 10^6\) pages.

   Therefore, the correct choice is: Choice A: \[1 \cdot 10^6\] pages.

In summary, the answers are:

1. B: \[8 \cdot 10^{3} \text{ B}\]
2. B: \[8 \cdot 10^{9} \text{ B}\]
3. A: \[1 \cdot 10^6\] pages