Question
The technology output for \( 2^{48} \) is 2.81474977 E14. Write this number in scientific notation with three significant digits. The number \( 2^{48} \) written in scientific notation with three significant digits is (Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Ask by Tyler Chan. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(2.81 \times 10^{14}\)
Solution
Calculate or simplify the expression \( 2^{48} \).
Calculate the value by following steps:
- step0: Calculate:
\(2^{48}\)
The technology output for \(2^{48}\) is approximately \(2.81475 \times 10^{14}\).
To write this number in scientific notation with three significant digits, we round the coefficient to three significant digits.
Therefore, the number \(2^{48}\) written in scientific notation with three significant digits is \(2.81 \times 10^{14}\).
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Simplify this solution Mind Expander
The number \( 2^{48} \) can be expressed in scientific notation as \( 2.81 \times 10^{14} \). When rounding, we take into account the first three significant digits, which are '2', '8', and '1'. To ensure correctness, we observe the full number of \( 2.81474977 \times 10^{14} \), which confirms that rounding to three significant digits results in \( 2.81 \).
