A factory produces 2.3×105

Question

marbles per hour. How many marbles will be produced after 200 hours?

(This is a multiplication question)

(1 point)
Responses

4.6×107
marbles
4 point 6 times 10 to the 7th power marbles

200
marbles
200 marbles

223×105
marbles
223 times 10 to the 5th power marbles

4.3×1010
marbles

Answer 1

To find out how many marbles will be produced after 200 hours, you can multiply the number of marbles produced per hour by the number of hours:

\[ 2.3 \times 10^5 \text{ marbles/hour} \times 200 \text{ hours} \]

First, express 200 in scientific notation: \[ 200 = 2.0 \times 10^2 \]

Now, multiply the two values: \[ (2.3 \times 10^5) \times (2.0 \times 10^2) = (2.3 \times 2.0) \times (10^5 \times 10^2) = 4.6 \times 10^{5+2} = 4.6 \times 10^7 \]

So, the total number of marbles produced after 200 hours is:

\[ 4.6 \times 10^7 \text{ marbles} \]

Therefore, the correct answer is: 4.6×10^7 marbles.