Add 7.3×107+1.8×107 . Which is the correct sum?(1 point)
Responses
9.1×107
9.1 times 10 superscript 7 baseline
9.1+107
9.1 plus 10 superscript 7 baseline
8.1×107
8.1 times 10 superscript 7 baseline
9.1×1014
9.1×107
To add 7.3×10^7 and 1.8×10^7, you need to add the numbers in front of the exponential notation and keep the same exponent.
So, 7.3×10^7 + 1.8×10^7 is equal to (7.3 + 1.8)×10^7.
Performing the addition, we get (7.3 + 1.8) = 9.1.
Therefore, the correct sum is 9.1×10^7.
To add 7.3×10^7 and 1.8×10^7, you need to add the numerical coefficients (7.3 and 1.8) and keep the same base (10) and exponent (7).
The correct sum is 9.1×10^7 (9.1 times 10^7) since 7.3 + 1.8 equals 9.1.
The population of a city is given as 3.45×106 . A nearby city has a population of 1.3×105 . What is the sum of the populations of the two cities in scientific notation?(1 point)
Responses
35.8+105
35.8 plus 10 superscript 5 baseline
4.75×105
4.75 times 10 superscript 5 baseline
4.75×1011
4.75 times 10 superscript 11 baseline
3.58×106
To find the sum of the populations of the two cities, you need to add the numerical coefficients (3.45 and 1.3) and keep the same base (10) and exponent (6).
The correct sum is 4.75×10^6 (4.75 times 10^6) since 3.45 + 1.3 equals 4.75.
Therefore, the correct answer is 4.75×10^6.
An empty dump truck weighs about 2.8×105 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.(1 point)
Responses
2.953×105 pounds
2.953 times 10 superscript 5 baseline pounds
29,530 pounds
29,530 pounds
15,302.8 pounds
15,302.8 pounds
4.33×105 pounds
To find the weight of the dump truck when 15,300 pounds of trash is added, you need to add 15,300 to the initial weight of the empty dump truck, which is 2.8×10^5 pounds.
Adding these two numbers, you get 2.8×10^5 + 15,300 = 2.953×10^5 pounds.
Therefore, the correct answer is 2.953×10^5 pounds.
The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×1011 years longer. What is the half-life of uranium-238? The answer should be in decimal form.(1 point)
Responses
11,463,000,000
11,463,000,000
4.4637×1011
4.4637 times 10 superscript 11 baseline
516,300,000,000
516,300,000,000
447,000,000,000
To find the half-life of uranium-238, you need to add the additional length of its half-life to the half-life of uranium-235.
The additional length is given as 4.463×10^11 years.
Adding this to the half-life of uranium-235 (700,000,000 years), you get:
700,000,000 + 4.463×10^11 = 1,146,300,000,000 years.
Therefore, the correct answer is 1,146,300,000,000 years.
A mobile phone holds 1.28×1011 bytes of storage. You can also pay more money 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.(1 point)
Responses
385.28×1011
385.28 times 10 superscript 11 baseline
5.12×1011
5.12 times 10 superscript 11 baseline
385,280,000,000
385,280,000,000
512×109