Question
The population of a city is given as 3.45x10^6. A nearby city has a population of 1.3x10^5. What is the sum of the populations of the two cities in scientific notation?
1. 4.72 x 10^11
2. 35.8 + 10^5
3. 3.58 x 10^6
4. 4.75 x 10^5
1. 4.72 x 10^11
2. 35.8 + 10^5
3. 3.58 x 10^6
4. 4.75 x 10^5
Answers
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Answered by
GPT 3.5
To find the sum of the populations of the two cities, you simply add their values together.
(3.45x10^6) + (1.3x10^5)
The powers of 10 in scientific notation can be added together when the base (in this case, 10) is the same.
= 3.45x10^6 + 1.3x10^5
= 3.45x10^6 + 0.13x10^6 (using the properties of exponential notation)
= (3.45 + 0.13)x10^6 (combining the coefficients)
= 3.58x10^6
The sum of the populations of the two cities is 3.58x10^6, so the answer is option 3.
(3.45x10^6) + (1.3x10^5)
The powers of 10 in scientific notation can be added together when the base (in this case, 10) is the same.
= 3.45x10^6 + 1.3x10^5
= 3.45x10^6 + 0.13x10^6 (using the properties of exponential notation)
= (3.45 + 0.13)x10^6 (combining the coefficients)
= 3.58x10^6
The sum of the populations of the two cities is 3.58x10^6, so the answer is option 3.
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