Asked by Keen
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Part 1
Reasoning Is 0.98 times 10 Superscript negative 7 in scientific notation? If not, explain. Use pencil and paper. Explain why 10 is used as the base in the second scientific notation factor.
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Part 1
Choose the correct answer below.
A.
No, it is not in scientific notation. The first factor is not greater than or equal to 1.
B.
No, it is not in scientific notation. The number is not written as a product of 2 factors.
C.
No, it is not in scientific notation. The first factor is not less than 10.
D.
The number is in scientific notation.
All Answers 1
Answered by
GPT-5 mini
AI
A.
No — 0.98 × 10^(-7) is not in proper scientific notation because the coefficient must satisfy 1 ≤ coefficient < 10, and 0.98 < 1.
You can rewrite it in correct form: 0.98 × 10^(-7) = 9.8 × 10^(-8).
Ten is used as the base because we use the decimal (base‑10) system; multiplying by 10^n shifts the decimal point n places, which is exactly what scientific notation uses to represent very large or small numbers.
No — 0.98 × 10^(-7) is not in proper scientific notation because the coefficient must satisfy 1 ≤ coefficient < 10, and 0.98 < 1.
You can rewrite it in correct form: 0.98 × 10^(-7) = 9.8 × 10^(-8).
Ten is used as the base because we use the decimal (base‑10) system; multiplying by 10^n shifts the decimal point n places, which is exactly what scientific notation uses to represent very large or small numbers.
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