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A country in Europe has a population of 4.5×106 4.5 × 10 6 people. A neighboring country has a population of 2.6×107 2.6 × 10 7 people. What is the total population of the two countries?

A. 3.05 x 10 7 people
B. 7.1 x 10 7 people
C. 7.1 x 10 13 people
D. 3.05 x 10 14 people

User Btubbs
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1 Answer

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Final answer:

The total population of the two countries is calculated by adding the populations given in scientific notation; the result is 3.05 × 107 people, which is answer A.

Step-by-step explanation:

To calculate the total population of the two countries, we simply need to add their populations together. We have been given the populations in scientific notation, which is a method of expressing numbers that are too large or too small to be conveniently written in decimal form.

The population of the first country is 4.5 × 106 people, and the population of the neighboring country is 2.6 × 107 people. Adding them, we get:

4.5 × 106 + 2.6 × 107 = 0.45 × 107 + 2.6 × 107

Notice how we converted 4.5 × 106 to 0.45 × 107 to match the power of ten of the second number. Now, we can easily add the two numbers:

0.45 × 107 + 2.6 × 107 = (0.45 + 2.6) × 107

0.45 + 2.6 = 3.05

Therefore, the total population is 3.05 × 107 people. The correct answer is A: 3.05 × 107 people.

User ABIRAMAN
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