If the decimals $$ 0.2591,0.206 $$, and 0.26 are arranged on a typical horizontal number line, which is furthest to the left? The number

Question

UpStudy AI · Accepted Answer

We compare the numbers by aligning their decimal digits:

1. $$0.2591$$  
2. $$0.206$$  
3. $$0.26$$ (which is equivalent to $$0.260$$)

We compare digit by digit from the left:

- The whole number part for all is $$0$$.

- The tenths digit for each is:
  - $$0.2591$$: $$2$$
  - $$0.206$$: $$2$$
  - $$0.260$$: $$2$$

- Now, the hundredths digit:
  - $$0.2591$$: $$5$$
  - $$0.206$$: $$0$$
  - $$0.260$$: $$6$$

Since $$0 < 5$$ and $$0 < 6$$, the number with the hundredths digit $$0$$ is the smallest.

Thus, the number furthest to the left is $$\boxed{0.206}$$.
The number $$0.206$$ is the smallest and is furthest to the left on the number line.

If the decimals , and 0.26 are arranged on a typical horizontal number line, which is furthest to the left?
The number