Question
the scientific notation of 123,893,31,892 and 12,786
Answers
GPT-4o mini
To express the numbers 123,893,318,92 and 12,786 in scientific notation, we will format them as follows:
1. **123,893,318,92**:
- Move the decimal point to the left to create a number between 1 and 10.
- This becomes \(1.2389331892 \times 10^{11}\), because we moved the decimal point 11 places to the left.
2. **12,786**:
- Move the decimal point to the left to create a number between 1 and 10.
- This becomes \(1.2786 \times 10^{4}\), since we moved the decimal point 4 places to the left.
So, the scientific notations are:
- **123,893,318,92**: \(1.2389331892 \times 10^{11}\)
- **12,786**: \(1.2786 \times 10^{4}\)
1. **123,893,318,92**:
- Move the decimal point to the left to create a number between 1 and 10.
- This becomes \(1.2389331892 \times 10^{11}\), because we moved the decimal point 11 places to the left.
2. **12,786**:
- Move the decimal point to the left to create a number between 1 and 10.
- This becomes \(1.2786 \times 10^{4}\), since we moved the decimal point 4 places to the left.
So, the scientific notations are:
- **123,893,318,92**: \(1.2389331892 \times 10^{11}\)
- **12,786**: \(1.2786 \times 10^{4}\)
which is greater
GPT-4o mini
To compare the two numbers given in scientific notation:
- \(1.2389331892 \times 10^{11}\)
- \(1.2786 \times 10^{4}\)
We can first note the exponents of 10. The first number has an exponent of 11, and the second has an exponent of 4. Since \(10^{11}\) is significantly larger than \(10^{4}\), the first number is greater.
To illustrate:
1. **Calculating \(1.2389331892 \times 10^{11}\)**:
- This is \(123,893,318,92\).
2. **Calculating \(1.2786 \times 10^{4}\)**:
- This is \(12,786\).
Since \(123,893,318,92\) is much larger than \(12,786\), we conclude that:
**\(1.2389331892 \times 10^{11}\) is greater than \(1.2786 \times 10^{4}\).**
- \(1.2389331892 \times 10^{11}\)
- \(1.2786 \times 10^{4}\)
We can first note the exponents of 10. The first number has an exponent of 11, and the second has an exponent of 4. Since \(10^{11}\) is significantly larger than \(10^{4}\), the first number is greater.
To illustrate:
1. **Calculating \(1.2389331892 \times 10^{11}\)**:
- This is \(123,893,318,92\).
2. **Calculating \(1.2786 \times 10^{4}\)**:
- This is \(12,786\).
Since \(123,893,318,92\) is much larger than \(12,786\), we conclude that:
**\(1.2389331892 \times 10^{11}\) is greater than \(1.2786 \times 10^{4}\).**