Question

Write the numbers in increasing order. $$-0.03,0.2,0,2.0,-0.2,-0.02$$

Short answer

The numbers in increasing order are -0.2, -0.03, -0.02, 0, 0.2, 2.0.

Step-by-step solution

Understand the number line

We need to understand that in a typical number line, numbers to the left are smaller than the numbers to the right. And zero is the point of demarcation, with numbers to the right being positive and numbers to the left being negative.

Categorize the numbers

We have both positive and negative numbers in our set. Firstly, we pick the negative numbers and write them from the smallest to the biggest. Similarly, we take the non-negative numbers (including zero) from the set and order them from smallest to biggest, keeping in mind that 0 is smaller than any positive number.

Write the ordered set

Combine the ordered negative and non-negative numbers to make an ordered set from smallest to biggest number.