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)
The temperature of the sun at its center is approximately 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)
To determine which number has the least value using scientific notation, we need to convert each number to scientific notation.
98,789,000 = 9.8789 x 10^7
987,890,000 = 9.8789 x 10^8
89,987,000 = 8.9987 x 10^7
Based on their scientific notation representation, the number 9.8789 x 10^7 (98,789,000) has the least value.
Place the numbers in descending order.
2.3 × 10^−10 ; 3.2 × 10^−10 ; 2.3 × 10^−12 ; 2.3 × 10^−8
To place the numbers in descending order, we compare the exponents first. The larger the negative exponent, the smaller the value.
2.3 × 10^-12 (smallest)
2.3 × 10^-10
2.3 × 10^-8
3.2 × 10^-10 (largest)
So, the numbers in descending order are:
2.3 × 10^-12
2.3 × 10^-10
3.2 × 10^-10
2.3 × 10^-8
Janiya found that her playlist will play for 3.8×10^2 seconds, 6.3¯¯¯ ×10^5 minutes, 1.05¯¯¯¯¯ ×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 and see which one is commonly used for measuring the duration of a playlist.
Answer 1: 3.8×10^2 seconds - This is measured in seconds, which is a common unit for measuring time but not commonly used for the duration of a playlist.
Answer 2: 6.3¯¯¯ ×10^5 minutes - This is measured in minutes, which is commonly used for measuring the duration of a playlist.
Answer 3: 1.05¯¯¯¯¯ ×10^4 hours - This is measured in hours, which is also commonly used for measuring the duration of a playlist.
Answer 4: 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days - This is measured in days, which is not typically used for measuring the duration of a playlist.
Based on common usage, Answer 2 (6.3¯¯¯ ×10^5 minutes) and Answer 3 (1.05¯¯¯¯¯ ×10^4 hours) both use appropriate units for measuring the duration of a playlist.
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)
Responses
To find the total number of acres in the park and the forest combined, we simply need to add the areas of the park and the forest.
Area of the national park: 1.42×10^6 acres
Area of the national forest: 1.2×10^6 acres
Adding these two areas together:
1.42×10^6 + 1.2×10^6 = 2.62×10^6 acres
Therefore, the total number of acres in the park and the forest combined is 2.62×10^6 acres.