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)

Responses

3.58×106
3.58 times 10 superscript 6 baseline

35.8+105
35.8 plus 10 superscript 5 baseline

4.75×105
4.75 times 10 superscript 5 baseline

4.75×10^11

1 answer

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

The first city's population is \( 3.45 \times 10^6 \).

The second city's population is \( 1.3 \times 10^5 \).

To add these two numbers, we can convert \( 1.3 \times 10^5 \) to the same exponent as \( 10^6 \):

\[ 1.3 \times 10^5 = 0.013 \times 10^6 \]

Now we can add the two populations:

\[ 3.45 \times 10^6 + 0.013 \times 10^6 = (3.45 + 0.013) \times 10^6 = 3.463 \times 10^6 \]

However, this isn't one of the provided options. To express \( 3.463 \) in proper scientific notation, we round it as needed or keep it as is, typically maintaining one digit left of the decimal.

Thus \( 3.463 \) in proper format would usually be approximated as \( 3.46 \) or kept in extended notation \( 3.463 \times 10^6 \).

The closest response provided, accounting for possible rounding or presentation variations, is:

3.58 × 10^6.

It looks like the provided answers might not match the calculated result exactly; please verify your options or recheck if there are rounding requirements in your context.