Question
What is the standard form of this number? Thirty million, five hundred six thousand, ninety-eight \( 30,506,098 \)
Ask by Bird Blake. in the United States
Jan 29,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The standard numerical form of the number is **30,506,098**.
Solution
The term "standard form" can have different meanings depending on the context. Here's how it applies to the number you've provided:
### 1. **Standard Numerical Form**
If you're referring to the **standard numerical form**, it's simply the number written with digits, including commas for readability. You've already provided it correctly:
\[ 30,506,098 \]
### 2. **Scientific Notation (Standard Form in Mathematics)**
In mathematics, especially in scientific contexts, "standard form" often refers to **scientific notation**. This format expresses numbers as a product of a decimal number (between 1 and 10) and a power of ten.
For the number **30,506,098**, the scientific notation is:
\[ 3.0506098 \times 10^7 \]
**Explanation:**
- **3.0506098** is the decimal coefficient.
- **\(10^7\)** indicates that the decimal point has been moved 7 places to the right to obtain the original number.
### Summary
- **Standard Numerical Form:** \(30,506,098\)
- **Scientific Notation (Standard Form in Mathematics):** \(3.0506098 \times 10^7\)
Choose the form that best fits your needs based on the context in which you're working.
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Simplify this solution Beyond the Answer
The number written in standard form is \( 30,506,098 \). To convert a written number into standard form, you should break it down into its component parts: thirty million (30,000,000), five hundred six thousand (506,000), and ninety-eight (98). When you add these components together, you confirm its value at \( 30,506,098 \). To ensure clarity, let’s remember that standard form makes huge numbers manageable. It’s like giving our numbers a nifty little home to live in! When you encounter numbers in real-world scenarios, simply breaking them down adds up nicely—like counting your coins to match your savings!
