Converting to scientific notation: Express the number 14.8 in standard scientific notation (mantissa between 1 and 10).

Introduction / Context:Scientific notation expresses numbers as a product of a mantissa (between 1 and 10) and a power of ten. This format simplifies calculations, comparisons, and significant-figure control—especially in electronics where values span many orders of magnitude.

Given Data / Assumptions:

• Original number: 14.8.
• Target format: a × 10^n with 1 ≤ a < 10.
• No change to the value—only its representation.

Concept / Approach:

To convert, reposition the decimal point so the mantissa lies between 1 and 10, then adjust the exponent to preserve the numeric value. Moving the decimal one place to the left increases the power of ten by +1; moving to the right decreases it by −1.

Step-by-Step Solution:

Verification / Alternative check:

Write 14.8 as 148 × 10^−1 or 0.148 × 10^2; normalizing to mantissa 1–10 always returns 1.48 × 10^1. This is the unique standard scientific-notation form for 14.8.

Why Other Options Are Wrong:

• 1.48 × 10^−1 and 1.48 × 10^0 do not equal 14.8.
• 1.48 × 10^2 equals 148, not 14.8.
• 14.8 × 10^0 equals 14.8 but mantissa is not normalized; standard scientific notation requires 1 ≤ mantissa < 10.

Common Pitfalls:

• Leaving mantissas like 14.8 instead of normalizing.
• Forgetting to adjust the exponent when moving the decimal point.

Final Answer:

1.48 × 10^1