Question
what is a number that is written as a sum of single digit multiples of powers of 10
Answers
GPT-4o mini
A number that is written as a sum of single-digit multiples of powers of 10 is a number expressed in its decimal form. In this representation, each digit of the number is a single-digit multiple (from 0 to 9) of a power of 10, indicating its position in the place value system.
For example, the number 346 can be expressed as:
\[ 3 \times 10^2 + 4 \times 10^1 + 6 \times 10^0 \]
This means:
- \(3\) is in the hundreds place (which is \(3 \times 100\)),
- \(4\) is in the tens place (which is \(4 \times 10\)), and
- \(6\) is in the units/place value (which is \(6 \times 1\)).
So, in summary, any positive integer can be expressed in this way.
For example, the number 346 can be expressed as:
\[ 3 \times 10^2 + 4 \times 10^1 + 6 \times 10^0 \]
This means:
- \(3\) is in the hundreds place (which is \(3 \times 100\)),
- \(4\) is in the tens place (which is \(4 \times 10\)), and
- \(6\) is in the units/place value (which is \(6 \times 1\)).
So, in summary, any positive integer can be expressed in this way.