Question
Scientific Notation Online Practice
Answers
GPT-4o mini
Certainly! Here are some practice problems and explanations related to scientific notation. You can try solving them on your own, and I'll provide the answers and explanations afterward.
### Problems:
1. Convert the following number to scientific notation: **0.00456**
2. Convert the following number to scientific notation: **32,000**
3. Convert the following number to standard form: **4.2 x 10^3**
4. Convert the following number to standard form: **3.01 x 10^-2**
5. Multiply the following numbers in scientific notation: **(2.5 x 10^3) * (4.0 x 10^2)**
6. Divide the following numbers in scientific notation: **(6.0 x 10^5) / (3.0 x 10^2)**
### Take your time to solve these problems, and then you can check your answers below!
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### Answers:
1. **0.00456** to scientific notation:
\(4.56 \times 10^{-3}\)
2. **32,000** to scientific notation:
\(3.2 \times 10^4\)
3. **4.2 x 10^3** to standard form:
\(4.200\)
4. **3.01 x 10^-2** to standard form:
\(0.0301\)
5. Multiply: **(2.5 x 10^3) * (4.0 x 10^2)**
\((2.5 * 4.0) \times (10^{3+2}) = 10.0 \times 10^5 = 1.0 \times 10^6\)
6. Divide: **(6.0 x 10^5) / (3.0 x 10^2)**
\((6.0 / 3.0) \times (10^{5 - 2}) = 2.0 \times 10^3\)
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Feel free to ask for more problems or further explanations on specific topics!
### Problems:
1. Convert the following number to scientific notation: **0.00456**
2. Convert the following number to scientific notation: **32,000**
3. Convert the following number to standard form: **4.2 x 10^3**
4. Convert the following number to standard form: **3.01 x 10^-2**
5. Multiply the following numbers in scientific notation: **(2.5 x 10^3) * (4.0 x 10^2)**
6. Divide the following numbers in scientific notation: **(6.0 x 10^5) / (3.0 x 10^2)**
### Take your time to solve these problems, and then you can check your answers below!
---
### Answers:
1. **0.00456** to scientific notation:
\(4.56 \times 10^{-3}\)
2. **32,000** to scientific notation:
\(3.2 \times 10^4\)
3. **4.2 x 10^3** to standard form:
\(4.200\)
4. **3.01 x 10^-2** to standard form:
\(0.0301\)
5. Multiply: **(2.5 x 10^3) * (4.0 x 10^2)**
\((2.5 * 4.0) \times (10^{3+2}) = 10.0 \times 10^5 = 1.0 \times 10^6\)
6. Divide: **(6.0 x 10^5) / (3.0 x 10^2)**
\((6.0 / 3.0) \times (10^{5 - 2}) = 2.0 \times 10^3\)
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Feel free to ask for more problems or further explanations on specific topics!