Add 7.3 x 10^7 + 1.8 x 10^7. Which is the correct sum?
The population of a city is given as 3.45 x 10^6. A nearby city has a population of 1.3 x 10^5. What is the sum of the populations of the two cities in scientific notation?
To find the sum of the populations of the two cities, you simply add the numbers in front of the scientific notation and keep the same power of 10.
(3.45 x 10^6) + (1.3 x 10^5) = (3.45 + 0.13) x 10^6 = 3.58 x 10^6.
Therefore, the sum of the populations of the two cities in scientific notation is 3.58 x 10^6.
An empty dump truck weighs about 2.8 x 10^5 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 15,300 pounds of trash added, you simply need to add the numbers in front of the scientific notation.
2.8 x 10^5 + 1.53 x 10^4 = 2.8 x 10^5 + 1.53 x 10^4 = 3.953 x 10^5.
Therefore, the weight of the dump truck with 15,300 pounds of trash added in scientific notation is 3.953 x 10^5 pounds.
The half life of uranium-235 is 700,000,000 years. The half life of uranium-238 is 4.463 x 10^11 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 time of 4.463 x 10^11 years to the half-life of uranium-235.
Half-life of uranium-235: 700,000,000 years
Additional time: 4.463 x 10^11 years
Adding the additional time to the half-life of uranium-235:
700,000,000 years + 4.463 x 10^11 years = 4.463 x 10^11 + 700,000,000 years.
Converting both numbers to scientific notation:
4.463 x 10^11 + 7 x 10^8 = 4.463 x 10^11 + 0.7 x 10^9.
To add these two numbers, we need to adjust the exponents to be the same:
4.463 x 10^11 + 0.7 x 10^9 = 4.463 x 10^11 + 70 x 10^7.
Now we can add the numbers in front of the scientific notation:
4.463 x 10^11 + 70 x 10^7 = (4.463 + 0.7) x 10^11 = 5.163 x 10^11.
Therefore, the half-life of uranium-238 is approximately 5.163 x 10^11 years in decimal form.
A mobile phone holds 1.28 x 10^11 bytes of storage. You can pay more to get an additional 384,000,000,000 bytes. How much storage would your phone have if you buy the additional bytes? The answer should be in scientific notation.
To find out how much storage the phone would have if you buy the additional bytes, you simply need to add the numbers in front of the scientific notation.
1.28 x 10^11 + 3.84 x 10^11 = 1.28 x 10^11 + 3.84 x 10^11 = 5.12 x 10^11.
Therefore, if you buy the additional 384,000,000,000 bytes, your phone would have approximately 5.12 x 10^11 bytes of storage in scientific notation.
To add numbers written in scientific notation, you need to have the same exponent. Let's break down the given numbers:
7.3 x 10^7 + 1.8 x 10^7
Since both numbers have the same exponent (10^7), we can add the coefficients (the numbers in front of 10^7).
7.3 + 1.8 = 9.1
So the sum is 9.1 x 10^7.
Therefore, the correct sum is 9.1 x 10^7.