The population of a city is given as 3.45×10^6 . A nearby city has a population of 1.3×10^5 . What is the sum of the populations of the two cities in scientific notation?(1 point)

Question

Responses

4.75×1011
4.75 times 10 superscript 11 baseline

3.58×106
3.58 times 10 superscript 6 baseline

4.75×105
4.75 times 10 superscript 5 baseline

35.8+105

Answer 1

To find the sum of the populations of the two cities in scientific notation, we first need to express both populations with the same exponent for easier addition.

The populations are:

• City A: \( 3.45 \times 10^6 \)
• City B: \( 1.3 \times 10^5 \)

We can convert City B's population to a similar exponent as City A's:

\[ 1.3 \times 10^5 = 0.13 \times 10^6 \]

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:

\[ \boxed{3.58 \times 10^6} \]