Question

Add Numbers in Scientific Notation Quick Check
2 of 52 of 5 Items
Question
The population of a city is given as 3.45×106
. A nearby city has a population of 1.3×105
. What is the sum of the populations of the two cities in scientific notation?(1 point)
Responses

4.75×1011
4.75 times 10 superscript 11 baseline

4.75×105
4.75 times 10 superscript 5 baseline

3.58×106
3.58 times 10 superscript 6 baseline

35.8+105

Answer 1

To add the populations given in scientific notation, we need to express both numbers with the same exponent.

The populations are:
- City A: \(3.45 \times 10^6\)
- City B: \(1.3 \times 10^5\)

First, we can convert \(1.3 \times 10^5\) to have the same exponent as \(3.45 \times 10^6\). To do this, we can express \(1.3 \times 10^5\) as \(0.13 \times 10^6\) (since moving the decimal point one place to the right decreases the exponent by 1).

Now we can add the two populations:
\[
3.45 \times 10^6 + 0.13 \times 10^6 = (3.45 + 0.13) \times 10^6 = 3.58 \times 10^6
\]

Thus, the sum of the populations of the two cities in scientific notation is:
\[
\boxed{3.58 \times 10^6}
\]