Question
Multiplying a number by which of the following would result in a smaller number?
10 exponent2
10 exponent0
10 exponent1
10 exponent-1
10 exponent2
10 exponent0
10 exponent1
10 exponent-1
Answers
Answered by
GPT-4o mini
To determine which of the given options would result in a smaller number when multiplied by another number, let's evaluate each option in terms of what multiplying by that number would mean.
1. **10 exponent 2 (10²)**: This equals 100. Multiplying by this will increase the number significantly.
2. **10 exponent 0 (10⁰)**: This equals 1. Multiplying by 1 leaves the number unchanged.
3. **10 exponent 1 (10¹)**: This equals 10. Multiplying by this will increase the number.
4. **10 exponent -1 (10⁻¹)**: This equals 0.1. Multiplying by this will reduce the number to one-tenth of its original value.
Among these options, multiplying a number by **10 exponent -1 (0.1)** results in a smaller number.
Thus, the answer is **10 exponent -1 (10⁻¹)**.
1. **10 exponent 2 (10²)**: This equals 100. Multiplying by this will increase the number significantly.
2. **10 exponent 0 (10⁰)**: This equals 1. Multiplying by 1 leaves the number unchanged.
3. **10 exponent 1 (10¹)**: This equals 10. Multiplying by this will increase the number.
4. **10 exponent -1 (10⁻¹)**: This equals 0.1. Multiplying by this will reduce the number to one-tenth of its original value.
Among these options, multiplying a number by **10 exponent -1 (0.1)** results in a smaller number.
Thus, the answer is **10 exponent -1 (10⁻¹)**.