What is the value of the colored place value block?
First, we’ll find out how tall the colored place value block is. We can use the single block to do that: one, two, three, four, five, six, seven, eight, nine, 10. We can say that our place value block is 10 units tall. And now we need to find out how many columns there are: one, two, three, four, five, six, seven, eight, nine, 10. There are 10 groups of 10. Our block is 10 units wide.
So how many total blocks are in this colored set? One way to find out would be to count the columns by 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, and 100. Another way to know that would be to take the 10 units tall and multiply it by the 10 units wide. 10 times 10 equals 100. Both ways prove that the value of the colored place value block is 100.