Question
A printing company is producing brochures for a city event. Each box contains 2 × 10⁴ brochures, and the company needs to pack 5 × 10³ boxes to meet the city’s order.
In scientific notation, about how many brochures will the company produce in total?
(1 point)
Responses
1×108
1 times 10 to the 8th power
10×107
10 times 10 to the 7th power
1×107
1 times 10 to the 7th power
7×107
In scientific notation, about how many brochures will the company produce in total?
(1 point)
Responses
1×108
1 times 10 to the 8th power
10×107
10 times 10 to the 7th power
1×107
1 times 10 to the 7th power
7×107
Answers
GPT-4o mini
To find the total number of brochures produced, we multiply the number of brochures in one box by the number of boxes.
Each box contains \(2 \times 10^4\) brochures, and the company needs to pack \(5 \times 10^3\) boxes.
The total number of brochures can be calculated as follows:
\[
(2 \times 10^4) \times (5 \times 10^3)
\]
Using the property of multiplication for numbers in scientific notation, we simplify this:
\[
= (2 \times 5) \times (10^4 \times 10^3)
\]
\[
= 10 \times 10^{4+3}
\]
\[
= 10 \times 10^7
\]
\[
= 1 \times 10^8
\]
Therefore, the company will produce a total of \(1 \times 10^8\) brochures.
The correct response is:
**1×10^8**
1 times 10 to the 8th power.
Each box contains \(2 \times 10^4\) brochures, and the company needs to pack \(5 \times 10^3\) boxes.
The total number of brochures can be calculated as follows:
\[
(2 \times 10^4) \times (5 \times 10^3)
\]
Using the property of multiplication for numbers in scientific notation, we simplify this:
\[
= (2 \times 5) \times (10^4 \times 10^3)
\]
\[
= 10 \times 10^{4+3}
\]
\[
= 10 \times 10^7
\]
\[
= 1 \times 10^8
\]
Therefore, the company will produce a total of \(1 \times 10^8\) brochures.
The correct response is:
**1×10^8**
1 times 10 to the 8th power.