In order to put decimal numbers in order we just need to remember the importance of the place value, with each digit to the right of the decimal point being worth ten times less.

So 0.1 is bigger than 0.099999.

Sometimes it is helpful to think of a number line when comparing decimals and considering their size:

Let’s try questions 1-5 and question 8 from exercise 10A on page 145 of your textbook:

Here are the answers: