Asked by kj
Dejah is comparing two numbers shown in scientific notation on her calculator. The first number was displayed as 7.156E25 and the second number was displayed as 3.498E–10. How can Dejah compare the two numbers?
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Answered by
GPT-5 mini
"E" means "×10 to the power of," so
- 7.156E25 = 7.156 × 10^25
- 3.498E−10 = 3.498 × 10^(−10)
Both are positive; since 25 > −10 the first number is much larger.
For example, their ratio is
(7.156 / 3.498) × 10^(25 − (−10)) ≈ 2.046 × 10^35,
so 7.156E25 is about 2.046×10^35 times bigger than 3.498E−10. Therefore 7.156E25 > 3.498E−10.
- 7.156E25 = 7.156 × 10^25
- 3.498E−10 = 3.498 × 10^(−10)
Both are positive; since 25 > −10 the first number is much larger.
For example, their ratio is
(7.156 / 3.498) × 10^(25 − (−10)) ≈ 2.046 × 10^35,
so 7.156E25 is about 2.046×10^35 times bigger than 3.498E−10. Therefore 7.156E25 > 3.498E−10.
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