Question

a number that is written as a sum of single digit multiples of powers of 10

Answer 1

A number that is written as a sum of single-digit multiples of powers of 10 can be represented in expanded form. For example, the number 345 can be expressed as follows:

\[
3 \times 10^2 + 4 \times 10^1 + 5 \times 10^0
\]

Here's a breakdown of what this means:
- \(3\) is the coefficient for \(10^2\) (which is 100),
- \(4\) is the coefficient for \(10^1\) (which is 10),
- \(5\) is the coefficient for \(10^0\) (which is 1).

When you add these together:

\[
(3 \times 100) + (4 \times 10) + (5 \times 1) = 300 + 40 + 5 = 345
\]

This form represents the number using single-digit coefficients (0 through 9) multiplied by the corresponding powers of 10. Any number can be expressed in this way. For example:

The number 5824 can be written as:

\[
5 \times 10^3 + 8 \times 10^2 + 2 \times 10^1 + 4 \times 10^0
\]

If you give me a specific number, I can show you its representation using this method!