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.
To determine which of these numbers has the least value, we need to rewrite them in scientific notation.
98,789,000 can be written as 9.8789 × 10^7.
987,890,000 can be written as 9.8789 × 10^8.
89,987,000 can be written as 8.9987 × 10^7.
Comparing the exponents, we can see that 9.8789 × 10^7 is the smallest value.
To determine which number has the least value, we need to convert each of the numbers into scientific notation and compare their exponents.
1. 98,789,000 can be written in the form of scientific notation as 9.8789 x 10^7.
2. 987,890,000 can be written in scientific notation as 9.8789 x 10^8.
3. 89,987,000 can be written in scientific notation as 8.9987 x 10^7.
Now, we compare the exponents of each number:
- 9.8789 x 10^7 has an exponent of 7.
- 9.8789 x 10^8 has an exponent of 8.
- 8.9987 x 10^7 has an exponent of 7.
Comparing the exponents, we can see that the number with the least value is 98,789,000 in scientific notation, which is 9.8789 x 10^7.
Place the numbers in descending order.
2.3 × 10−10 ; 3.2 × 10−10 ; 2.3 × 10−12 ; 2.3 × 10−8
To determine which of the given numbers has the least value, we need to convert them into 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
Comparing these values, we can see that 9.8789 x 10^7 (98,789,000) has the least value.