Think of a cheerleading squad on the field. Everyone has a specific spot. Numbers are organized the same way. The decimal point is like the center line of the field. To its left, you have the whole numbers, representing the full squads. To its right, you have the parts of a squad, the fractions of a whole.

Let's focus on the positions just to the right of that decimal point. These spots tell us about pieces that are smaller than one whole.

The first spot immediately to the right of the decimal point is the tenths place. Imagine a small stunt group of 10 cheerleaders arranged in a single row. Each person represents one-tenth of that group. If one person steps forward, you have one-tenth, or 0.1, of the group.

In cheerleading, a routine is broken down into counts. A common one is a 'ten-count'. If the entire routine is made of these ten counts, one single count is one-tenth of the whole thing. It takes ten of these 'tenths' to make one whole routine.

So, if you see the number 0.7, it means you have seven of these ten parts. In our cheer group analogy, that's 7 out of 10 cheerleaders stepping forward.

Now, let's zoom out to a full competition squad of 100 people, arranged in a perfect 10-by-10 grid. The second spot to the right of the decimal point is the hundredths place. Each individual cheerleader in this grid represents one-hundredth of the total squad.

Look at the number 0.01. This represents just one cheerleader out of the 100. The zero in the tenths place is important. It tells us we don't have any full rows of ten, just a single person from another row.

Compare that to 0.10. This means we have one full row of ten cheerleaders, which is ten-hundredths of the squad. Notice that 0.1 and 0.10 represent the same amount. Ten individual cheerleaders (hundredths) make one full row (a tenth).

Let's analyze the number 1.25.

• The 1 to the left of the decimal is a whole number. That's one full squad of 100 cheerleaders.
• The 2 in the tenths place means we have two additional full rows of ten. That's 20 people.
• The 5 in the hundredths place means we have five additional individual cheerleaders.

So, 1.25 represents one full squad, plus two rows of ten, plus five individuals.

Understanding these positions allows you to know the value of each digit just by seeing where it stands in formation.