Question
Write the number in scientific notation. -332
Ask by Zimmerman Matthews. in the United States
Jan 29,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
-332 in scientific notation is -3.32 × 10².
Solution
To express **-332** in scientific notation:
\[
-332 = -3.32 \times 10^{2}
\]
**Explanation:**
1. **Identify the decimal part:**
Move the decimal point in **-332** two places to the left to get **-3.32**.
2. **Determine the exponent:**
Since you moved the decimal two places to the left, the exponent is **2**.
3. **Combine them:**
So, **-332** in scientific notation is **-3.32 × 10²**.
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Simplify this solution Beyond the Answer
To write -332 in scientific notation, you express it as -3.32 × 10². This format makes it easier to read and work with, especially in calculations involving very large or very small numbers. The negative sign indicates that it's below zero, while moving the decimal point two places to the right gives us the exponent of 2. Converting numbers into scientific notation isn't just a party trick—it’s super useful in fields like science and engineering! For instance, in physics, it simplifies the manipulation of numbers that vary dramatically in size, helping to compare quantities without losing track of the decimal point or running into cumbersome zeros.
