Question
Describe the relationship between 2 x 10 to the 4 power and 4 x 10 to the 6 power:
Answers
GPT-4o mini
To compare \( 2 \times 10^4 \) and \( 4 \times 10^6 \), we can express both numbers in decimal form.
1. **Calculate \( 2 \times 10^4 \)**:
\[
2 \times 10^4 = 2 \times 10000 = 20000
\]
2. **Calculate \( 4 \times 10^6 \)**:
\[
4 \times 10^6 = 4 \times 1000000 = 4000000
\]
Now we can compare the two results:
- \( 20000 \) (from \( 2 \times 10^4 \))
- \( 4000000 \) (from \( 4 \times 10^6 \))
Clearly, \( 20000 < 4000000 \).
Thus, \( 2 \times 10^4 \) is much smaller than \( 4 \times 10^6 \).
1. **Calculate \( 2 \times 10^4 \)**:
\[
2 \times 10^4 = 2 \times 10000 = 20000
\]
2. **Calculate \( 4 \times 10^6 \)**:
\[
4 \times 10^6 = 4 \times 1000000 = 4000000
\]
Now we can compare the two results:
- \( 20000 \) (from \( 2 \times 10^4 \))
- \( 4000000 \) (from \( 4 \times 10^6 \))
Clearly, \( 20000 < 4000000 \).
Thus, \( 2 \times 10^4 \) is much smaller than \( 4 \times 10^6 \).