Questions: Is the number 1.98 × 10^2 written in scientific notation, engineering notation, both, or neither? - scientific notation - both - engineering notation - neither

Is the number 1.98 × 10^2 written in scientific notation, engineering notation, both, or neither?
- scientific notation
- both
- engineering notation
- neither
Transcript text: Is the number $1.98 \times 10^{2}$ written in scientific notation, engineering notation, both, or neither? - scientific notation - both - engineering notation - neither
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Solution

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Solution Steps

Step 1: Understand the definitions of scientific and engineering notation
  • Scientific notation requires a number to be written in the form \(a \times 10^{n}\), where \(1 \leq |a| < 10\) and \(n\) is an integer.
  • Engineering notation requires a number to be written in the form \(a \times 10^{n}\), where \(n\) is a multiple of 3 and \(1 \leq |a| < 1000\).
Step 2: Analyze the given number
  • The number \(1.98 \times 10^{2}\) has \(a = 1.98\) and \(n = 2\).
  • Check if \(1.98\) satisfies \(1 \leq |a| < 10\): Yes, it does.
  • Check if \(n = 2\) is a multiple of 3: No, it is not.
Step 3: Determine the notation type
  • Since \(1.98 \times 10^{2}\) satisfies the condition for scientific notation but not for engineering notation, it is written in scientific notation only.

Final Answer

The correct answer is A.

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