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, we need to convert all the numbers to scientific notation.
98,789,000 in scientific notation is 9.8789 x 10^7
987,890,000 in scientific notation is 9.8789 x 10^8
89,987,000 in scientific notation is 8.9987 x 10^7
Comparing the powers of 10, we can see that 9.8789 x 10^7 has the least value.
To determine which of these numbers has the least value using scientific notation, we express the numbers in the form of a × 10^b, where "a" is a decimal number greater than or equal to 1 but less than 10, and "b" is an integer.
For 98,789,000, we can write it in scientific notation as 9.8789 × 10^7.
For 987,890,000, we can write it in scientific notation as 9.8789 × 10^8.
For 89,987,000, we can write it in scientific notation as 8.9987 × 10^7.
Now, we can compare the values of "b". The number with the least value will have the smallest value of "b".
Comparing the values of "b":
9.8789 × 10^7
9.8789 × 10^8
8.9987 × 10^7
From the comparison, we can see that 8.9987 × 10^7 has the smallest value of "b". Therefore, 89,987,000 is the number with the least value in scientific notation, expressed to the exact decimal place.
To compare the values of these numbers using scientific notation, we need to express each of them in scientific notation.
Let's break down the process step by step:
1. Start with the given numbers: 98,789,000; 987,890,000; and 89,987,000.
2. To convert them into scientific notation, we move the decimal point until there is only one non-zero digit to the left of the decimal point.
a. For 98,789,000, the decimal point needs to be moved seven places to the left: 9.8789 × 10^7.
b. For 987,890,000, the decimal point needs to be moved eight places to the left: 9.8789 × 10^8.
c. For 89,987,000, the decimal point needs to be moved seven places to the left: 8.9987 × 10^7.
3. Now that we have all the numbers in scientific notation, we can compare their powers of 10.
a. 10^7 < 10^8, so the number 9.8789 × 10^7 is the smallest.
4. Finally, we can express the smallest number in scientific notation to the exact decimal place:
The number with the least value is 9.8789 × 10^7.
Therefore, the answer is 9.8789 × 10^7 in scientific notation, expressed to the exact decimal place.