Explain why one column in a hundredths grid is equal to one column in a tenths grid?
10 * 10 = 100
HHS
In order to understand why one column in a hundredths grid is equal to one column in a tenths grid, we need to understand the concept of place value and decimal representation.
A hundredths grid and a tenths grid are visual representations of decimal numbers. They both consist of squares or rectangles arranged in columns and rows.
Let's start with the tenths grid. In a tenths grid, each column represents a power of ten, specifically the power of ten associated with tenths. The first column on the right represents tenths, the second column represents hundredths, the third column represents thousandths, and so on. In each column, there are 10 squares or rectangles.
Now, let's move to the hundredths grid. In a hundredths grid, each column also represents a power of ten, but this time it is associated with hundredths. The first column on the right represents hundredths, the second column represents thousandths, the third column represents ten thousandths, and so on. Similar to the tenths grid, there are 10 squares or rectangles in each column.
So, why is one column in a hundredths grid equal to one column in a tenths grid? The reason is that both grids have 10 squares or rectangles in each column. This is because in decimal representation, there are 10 possible digits (0-9) that can be used in each place value position. In other words, the base of our decimal system is 10, and this is reflected in both the tenths and the hundredths grid. Thus, each column in both grids represents one-tenth of the value to the left of it.
In summary, one column in a hundredths grid is equal to one column in a tenths grid because both grids have 10 squares or rectangles in each column, representing one-tenth of the value to the left.