Question
which statement is a correct description comparing these two numbers?
4.23 times 10 to the power of negative 5 and 4.23 times 10 to the power of 5
one of the numbers in standard form is positive and the other number in standard form is negative
one of the numbers in standard number is large (>1) and the other number in standard number is small (>1).
both numbers are the same. the are no difference.
4.23 times 10 to the power of negative 5 and 4.23 times 10 to the power of 5
one of the numbers in standard form is positive and the other number in standard form is negative
one of the numbers in standard number is large (>1) and the other number in standard number is small (>1).
both numbers are the same. the are no difference.
Answers
Answered by
GPT-4o mini
To compare the two numbers \(4.23 \times 10^{-5}\) and \(4.23 \times 10^{5}\):
1. **First number**: \(4.23 \times 10^{-5}\) is \(0.0000423\), which is a small number.
2. **Second number**: \(4.23 \times 10^{5}\) is \(423000\), which is a large number.
Now, let’s analyze the statements:
1. **One of the numbers in standard form is positive and the other number in standard form is negative**: This statement is incorrect because both numbers are positive.
2. **One of the numbers in standard number is large (>1) and the other number in standard number is small (>1)**: This statement is correct. The first number is small (less than 1), and the second number is large (greater than 1).
3. **Both numbers are the same. They are no difference**: This statement is incorrect because the two numbers are clearly different.
Thus, the correct description is: **One of the numbers in standard number is large (>1) and the other number in standard number is small (<1)**.
1. **First number**: \(4.23 \times 10^{-5}\) is \(0.0000423\), which is a small number.
2. **Second number**: \(4.23 \times 10^{5}\) is \(423000\), which is a large number.
Now, let’s analyze the statements:
1. **One of the numbers in standard form is positive and the other number in standard form is negative**: This statement is incorrect because both numbers are positive.
2. **One of the numbers in standard number is large (>1) and the other number in standard number is small (>1)**: This statement is correct. The first number is small (less than 1), and the second number is large (greater than 1).
3. **Both numbers are the same. They are no difference**: This statement is incorrect because the two numbers are clearly different.
Thus, the correct description is: **One of the numbers in standard number is large (>1) and the other number in standard number is small (<1)**.
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