Let's set up the equation using the given information:
8 × 10^3 = 40(a × 10^2)
We can simplify the equation:
8 × 10^3 = 40a × 10^2
Using the property of exponents, we can rewrite the equation as:
8 × 10^3 = 40a × 100
Now, simplify the right side of the equation:
8 × 10^3 = 4000a
Divide both sides of the equation by 8:
10^3 = 500a
Divide both sides of the equation by 500:
2 = a
Therefore, the value of a is 2.
For What value of a will 8 × 10^3 be 40 times larger than a × 10^2?? (1 point)
27 answers
One second is approximately 0.0000115741 of a day. What is this number in scientific notation? (1 point)
To write a number in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
0.0000115741 can be written as 1.15741 × 10^-5 in scientific notation.
0.0000115741 can be written as 1.15741 × 10^-5 in scientific notation.
are you positive?
Apologies for the confusion. Let's clarify:
To write the number 0.0000115741 in scientific notation, we need to move the decimal point to the right until we have a number between 1 and 10. We count the number of decimal places shifted, and that will be the exponent of 10.
0.0000115741 can be rewritten as 1.15741 × 10^-5 in scientific notation.
To write the number 0.0000115741 in scientific notation, we need to move the decimal point to the right until we have a number between 1 and 10. We count the number of decimal places shifted, and that will be the exponent of 10.
0.0000115741 can be rewritten as 1.15741 × 10^-5 in scientific notation.
The temperature of the sun at its center is about 2.7 × 10^7 degrees Fahrenheit. What is this temperature written in decimal notation? (1 point)
To write the temperature of the sun in decimal notation, we simply remove the exponent and place it as the number of zeros after the decimal point.
2.7 × 10^7 degrees Fahrenheit can be written as 27,000,000 degrees Fahrenheit in decimal notation.
2.7 × 10^7 degrees Fahrenheit can be written as 27,000,000 degrees Fahrenheit in decimal notation.
positive?
Apologies for the error in my previous response.
To convert a number from scientific notation to decimal notation, we need to move the decimal point to the right by the value of the exponent in the scientific notation.
For the temperature of the sun at its center, which is given as 2.7 × 10^7 degrees Fahrenheit, we move the decimal point 7 places to the right.
Therefore, in decimal notation, the temperature is 27,000,000 degrees Fahrenheit.
To convert a number from scientific notation to decimal notation, we need to move the decimal point to the right by the value of the exponent in the scientific notation.
For the temperature of the sun at its center, which is given as 2.7 × 10^7 degrees Fahrenheit, we move the decimal point 7 places to the right.
Therefore, in decimal notation, the temperature is 27,000,000 degrees Fahrenheit.
Use scientific notation to determine which of these numbers has the least value: 98,789,000; 987,890,000; or 89,987,000.
Write your answer in scientific notation, expressed to the exact decimal place. (1 point)
Write your answer in scientific notation, expressed to the exact decimal place. (1 point)
To determine which number has the least value, we need to convert all the numbers to scientific notation.
The three numbers to convert are:
98,789,000 = 9.8789 × 10^7
987,890,000 = 9.8789 × 10^8
89,987,000 = 8.9987 × 10^7
Comparing their exponents, we see that 9.8789 × 10^7 is the smallest value in scientific notation, expressed to the exact decimal place.
The three numbers to convert are:
98,789,000 = 9.8789 × 10^7
987,890,000 = 9.8789 × 10^8
89,987,000 = 8.9987 × 10^7
Comparing their exponents, we see that 9.8789 × 10^7 is the smallest value in scientific notation, expressed to the exact decimal place.
2.3 × 10^-10. 3.2 × 10^-10, 2.3 × 10^-12. 2.3 × 10^-8
To determine which number has the least value, we compare the exponents in scientific notation.
The given numbers in scientific notation are:
2.3 × 10^-10
3.2 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Comparing the exponents, we see that 2.3 × 10^-12 is the smallest value.
The given numbers in scientific notation are:
2.3 × 10^-10
3.2 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Comparing the exponents, we see that 2.3 × 10^-12 is the smallest value.
place when in descending orrder
To place the numbers in descending order, we need to compare the values considering the exponent and the coefficient.
The given numbers are:
2.3 × 10^-10
3.2 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Writing them in descending order:
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-8
2.3 × 10^-12
The given numbers are:
2.3 × 10^-10
3.2 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Writing them in descending order:
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-8
2.3 × 10^-12
are u sure
Apologies for the previous incorrect response. Let's correctly place the numbers in descending order:
The given numbers are:
2.3 × 10^-10
3.2 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Writing them in descending order:
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-8
2.3 × 10^-12
The correct order from greatest to least is:
2.3 × 10^-8
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-12
The given numbers are:
2.3 × 10^-10
3.2 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Writing them in descending order:
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-8
2.3 × 10^-12
The correct order from greatest to least is:
2.3 × 10^-8
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-12
isn’t greatest to least the same as descending?
You are correct, and I apologize for the inconsistency in my previous responses. In terms of scientific notation, when arranging numbers in descending order, we're actually ordering them from greatest value to the least value.
Therefore, in descending order from greatest to least, the correct order is:
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Thank you for pointing out the error, and I apologize for any confusion caused.
Therefore, in descending order from greatest to least, the correct order is:
3.2 × 10^-10
2.3 × 10^-10
2.3 × 10^-12
2.3 × 10^-8
Thank you for pointing out the error, and I apologize for any confusion caused.
Janiva found that her playlist will play for 3.8 × 10° seconds, 6.3 × 10^2minutes, 1.05 x 10^4 hours, or 4.39814 × 10? days. Which answer uses the most appropriate units? (1 point)
To determine which answer uses the most appropriate units, we need to compare the units for each value given.
The options are:
3.8 × 10^0 seconds
6.3 × 10^2 minutes
1.05 × 10^4 hours
4.39814 × 10? days
Looking at the units, we can see that days is the largest unit of time. Therefore, the answer using the most appropriate units is 4.39814 × 10? days.
The options are:
3.8 × 10^0 seconds
6.3 × 10^2 minutes
1.05 × 10^4 hours
4.39814 × 10? days
Looking at the units, we can see that days is the largest unit of time. Therefore, the answer using the most appropriate units is 4.39814 × 10? days.
Janiva found that her playlist will play for 3.8 × 10° seconds, 6.3 × 10^2minutes, 1.05 x 10^4 hours, or 4.39814 × 10^2 days. Which answer uses the most appropriate units? (1 point)
To determine which answer uses the most appropriate units, we need to compare the units for each value given.
The options are:
3.8 × 10^0 seconds
6.3 × 10^2 minutes
1.05 × 10^4 hours
4.39814 × 10^2 days
Comparing the units, we can see that days is a larger unit of time compared to hours, minutes, and seconds. Therefore, the answer using the most appropriate units is 4.39814 × 10^2 days.
The options are:
3.8 × 10^0 seconds
6.3 × 10^2 minutes
1.05 × 10^4 hours
4.39814 × 10^2 days
Comparing the units, we can see that days is a larger unit of time compared to hours, minutes, and seconds. Therefore, the answer using the most appropriate units is 4.39814 × 10^2 days.
A national park covers an area of 1.42 × 10^6 acres. A nearby national forest covers an area of 1.2 × 10^6 acres. What is the total number of acres in the park and the forest combined? (1 point)
To find the total number of acres in the park and the forest combined, we simply add the two areas together.
The area of the national park is 1.42 × 10^6 acres.
The area of the national forest is 1.2 × 10^6 acres.
Adding these two areas together gives us:
1.42 × 10^6 acres + 1.2 × 10^6 acres = 2.62 × 10^6 acres.
Therefore, the total number of acres in the park and the forest combined is 2.62 × 10^6 acres.
The area of the national park is 1.42 × 10^6 acres.
The area of the national forest is 1.2 × 10^6 acres.
Adding these two areas together gives us:
1.42 × 10^6 acres + 1.2 × 10^6 acres = 2.62 × 10^6 acres.
Therefore, the total number of acres in the park and the forest combined is 2.62 × 10^6 acres.
The distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6 × 107 farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place. (1 point)
To find the distance from Earth to the sun, we need to add the distance between Venus and the sun (67,000,000 miles) to the distance that Earth is farther (2.6 × 10^7 miles).
Adding these distances together, we get:
67,000,000 miles + 2.6 × 10^7 miles = 67,000,000 miles + 26,000,000 miles = 93,000,000 miles.
Expressing this distance in scientific notation to 1 decimal place, we have:
9.3 × 10^7 miles.
Adding these distances together, we get:
67,000,000 miles + 2.6 × 10^7 miles = 67,000,000 miles + 26,000,000 miles = 93,000,000 miles.
Expressing this distance in scientific notation to 1 decimal place, we have:
9.3 × 10^7 miles.
4 answers