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)
To find the sum of the populations of the two cities in scientific notation, we need to convert the numbers to scientific notation and add them together.
3.45×10^6 is already in scientific notation.
1.3×10^5 is also in scientific notation.
To add these two numbers, we need to make sure they have the same exponent. To do this, we can convert 1.3×10^5 to scientific notation with the same exponent as 3.45×10^6:
1.3×10^5 = 0.13×10^6
Now we can add the populations:
3.45×10^6 + 0.13×10^6 = 3.58×10^6
Therefore, the sum of the populations of the two cities is 3.58×10^6 in scientific notation.
the answer is 2.953 * 10^5
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)
To find the sum of the populations of the two cities in scientific notation, we add the numbers without changing their exponent.
3.45×10^6 + 1.3×10^5
Since both numbers have the same exponent, we can add them together:
= 3.45×10^6 + 0.13×10^6
= 3.58×10^6
Therefore, the sum of the populations of the two cities is 3.58×10^6 in scientific notation.
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
wrong
I apologize for the mistake. Let's find the correct answer:
Weight of empty dump truck = 2.8×10^5 pounds
Weight of added trash = 15,300 pounds
To find the total weight, we need to add the weight of the empty dump truck and the weight of the added trash:
2.8×10^5 + 15,300
To add these numbers, we need to convert 15,300 to scientific notation:
15,300 = 1.53×10^4
Now we can add the weights:
2.8×10^5 + 1.53×10^4
To add these numbers, we need to adjust the exponents so that they both have the same power of 10. We can do this by converting 1.53×10^4 to 0.153×10^5:
2.8×10^5 + 0.153×10^5
Now we can add the numbers:
2.8 + 0.153 = 2.953
The exponent remains the same, so the final answer is:
2.953 × 10^5
Therefore, the weight of the dump truck with 15,300 pounds of trash added is approximately 2.953 × 10^5 pounds in scientific notation.
Apologies for the confusion. You are correct. The correct answer is 2.953 * 10^5. Thank you for pointing out the mistake, and I apologize for any inconvenience caused.
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)
To find the half-life of uranium-238, we need to add the additional time to the half-life of uranium-235.
Half-life of uranium-235: 700,000,000 years.
Additional time for uranium-238: 4.463×10^11 years.
To find the half-life of uranium-238, we add the two values:
Half-life of uranium-235 + Additional time for uranium-238 = Half-life of uranium-238
700,000,000 + 4.463×10^11
To add these values, we need to convert 700,000,000 to scientific notation:
700,000,000 = 7×10^8
Now we can add the values:
7×10^8 + 4.463×10^11
To add these values, we need to adjust the exponents so that they are the same. We can convert 7×10^8 to 7×10^11:
7×10^11 + 4.463×10^11
Now we can add the values:
7 + 4.463 = 11.463
Therefore, the half-life of uranium-238 is approximately 11.463 years in decimal form.