Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

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.

Answer 3

[AI-generated answer — Explain Bot]

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.