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

Answer 1

To compare the numbers 98,789,000; 987,890,000; and 89,987,000 using scientific notation, we will convert each number:

1. 98,789,000 can be written as: \[ 9.8789 \times 10^7 \]

2. 987,890,000 can be written as: \[ 9.8789 \times 10^8 \]

3. 89,987,000 can be written as: \[ 8.9987 \times 10^7 \]

Now, we can compare the scientific notations. The exponents of \(10\) in the scientific notation tell us the order of magnitude of each number.

• For \(9.8789 \times 10^7\) (98,789,000), the exponent is \(7\).
• For \(9.8789 \times 10^8\) (987,890,000), the exponent is \(8\).
• For \(8.9987 \times 10^7\) (89,987,000), the exponent is \(7\).

Next, since \(10^8\) (in 987,890,000) is greater than both \(10^7\) terms, we can conclude that \(987,890,000\) has the highest value.

Now we need to compare \(9.8789 \times 10^7\) and \(8.9987 \times 10^7\):

• The coefficients are \(9.8789\) and \(8.9987\). Since \(8.9987 < 9.8789\), we can determine that \(89,987,000\) (or \(8.9987 \times 10^7\)) is less than \(98,789,000\) (or \(9.8789 \times 10^7\)).

Thus, the number with the least value among the three is \(89,987,000\), which can be expressed in scientific notation as:

\[ \boxed{8.9987 \times 10^7} \]

Answer 2

can you simplify pls

Answer 3

Certainly! Here’s a simplified version of the comparison:

1. Convert each number to scientific notation:

   • 98,789,000 = \(9.8789 \times 10^7\)
   • 987,890,000 = \(9.8789 \times 10^8\)
   • 89,987,000 = \(8.9987 \times 10^7\)

2. Determine the order of magnitude:

   • \(9.8789 \times 10^8\) (987,890,000) has the highest value because of the \(10^8\).
   • Compare \(9.8789 \times 10^7\) (98,789,000) and \(8.9987 \times 10^7\) (89,987,000):
     • \(8.9987 < 9.8789\), so \(89,987,000\) is less than \(98,789,000\).

3. Conclusion:

   • The number with the least value is 89,987,000, expressed in scientific notation as:

\[ \boxed{8.9987 \times 10^7} \]

Answer 4

are you sure

Answer 5

Yes, let's double-check the comparison step by step:

1. Convert to Scientific Notation:

   • \(98,789,000\) is \(9.8789 \times 10^7\)
   • \(987,890,000\) is \(9.8789 \times 10^8\)
   • \(89,987,000\) is \(8.9987 \times 10^7\)

2. Analyze the Scientific Notations:

   • For \(9.8789 \times 10^8\): This is the largest because it has an exponent of \(8\).
   • Comparing \(9.8789 \times 10^7\) and \(8.9987 \times 10^7\):
     • Both have the same exponent (\(10^7\)), so we compare the coefficients \(9.8789\) and \(8.9987\).
     • Since \(8.9987 < 9.8789\), it confirms that \(89,987,000\) is less than \(98,789,000\).

Final Conclusion:

The number with the least value is indeed 89,987,000, which is expressed in scientific notation as:

\[ \boxed{8.9987 \times 10^7} \]

Thank you for your patience, and I can confirm the analysis is correct!