To find the sum of the populations of the two cities in scientific notation, we have to make the exponents of the powers of 10 the same.
The population of the first city is 3.45x10^6.
The population of the second city is 1.3x10^5.
To make the exponents the same, we need to convert the population of the second city to scientific notation with an exponent of 6.
1.3x10^5 can be rewritten as 0.13x10^6.
Now we can add the populations:
3.45x10^6 + 0.13x10^6 = 3.58x10^6
Therefore, the sum of the populations of the two cities in scientific notation is 3.58x10^6. Answer: \boxed{3.58x10^6}.
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?
5 answers
An empty dumb truck weighs about 2.8x10^5 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.
To find the weight of the dump truck with the trash added in scientific notation, we need to add the weights of the empty dump truck and the trash.
The weight of the empty dump truck is 2.8x10^5 pounds.
The weight of the trash added is 15,300 pounds.
Adding these weights gives:
2.8x10^5 + 15,300 = 2.8x10^5 + 1.53x10^4
Now, to add these numbers, we need to make the exponents of 10 the same.
10^5 is already in the same form, so we don't need to do anything.
Now we can add the numbers:
2.8x10^5 + 1.53x10^4 = (2.8 + 0.153)x10^5
Simplifying the expression further, we get:
2.953 x 10^5
Therefore, the weight of the dump truck with the trash added in scientific notation is 2.953 x 10^5 pounds.
The weight of the empty dump truck is 2.8x10^5 pounds.
The weight of the trash added is 15,300 pounds.
Adding these weights gives:
2.8x10^5 + 15,300 = 2.8x10^5 + 1.53x10^4
Now, to add these numbers, we need to make the exponents of 10 the same.
10^5 is already in the same form, so we don't need to do anything.
Now we can add the numbers:
2.8x10^5 + 1.53x10^4 = (2.8 + 0.153)x10^5
Simplifying the expression further, we get:
2.953 x 10^5
Therefore, the weight of the dump truck with the trash added in scientific notation is 2.953 x 10^5 pounds.
a half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463x10^11 years longer. What is the half-life of uranium-238? The answer should be in decimal form.
To find the half-life of uranium-238, we need to add the additional half-life to the half-life of uranium-235.
The half-life of uranium-235 is given as 700,000,000 years.
The additional half-life for uranium-238 is stated as 4.463x10^11 years longer.
To find the half-life of uranium-238, we add the additional half-life to the half-life of uranium-235:
700,000,000 + 4.463x10^11
To add these numbers, we need to convert 700,000,000 to scientific notation:
700,000,000 = 7x10^8
Now, with both numbers in scientific notation, we can add them:
7x10^8 + 4.463x10^11
Since both numbers have the same base (10), we can add them by keeping the base and adding the coefficients:
(7 + 4.463)x10^11
This simplifies to:
11.463x10^11
Therefore, the half-life of uranium-238 is approximately 11.463x10^11 years. In decimal form, this is 11,463,000,000,000 years or 11.463 trillion years.
The half-life of uranium-235 is given as 700,000,000 years.
The additional half-life for uranium-238 is stated as 4.463x10^11 years longer.
To find the half-life of uranium-238, we add the additional half-life to the half-life of uranium-235:
700,000,000 + 4.463x10^11
To add these numbers, we need to convert 700,000,000 to scientific notation:
700,000,000 = 7x10^8
Now, with both numbers in scientific notation, we can add them:
7x10^8 + 4.463x10^11
Since both numbers have the same base (10), we can add them by keeping the base and adding the coefficients:
(7 + 4.463)x10^11
This simplifies to:
11.463x10^11
Therefore, the half-life of uranium-238 is approximately 11.463x10^11 years. In decimal form, this is 11,463,000,000,000 years or 11.463 trillion years.
1 answer