Square Numbers

The number nine is special because it has a rectangle that is a
square that has three rows and three columns.
  1. Which other numbers have rectangles that are squares? These numbers are called square numbers.
  2. Find the next largest square number after 25.
  1. Another way mathematicians write 3 3 is 32. This is read “three to the second power” or “three squared.” The raised 2 is called an exponent. Here are some more examples:
    1. What is 52?
    2. What is 62?

Check-In: Questions 17–18

    1. Write the number sentences for the rectangles you can make with 30 tiles.
    2. Is 30 a prime number? How do you know?
    3. Is 30 a square number? How do you know?
    1. Ming has 32 rocks in his rock collection. He wants to buy a rectangular display box with one square compartment for each rock. At the store he found boxes with 6 rows of 6 columns; 8 rows of 4 columns; 2 rows of 16 columns; and 3 rows of 10 columns. Which boxes will hold his collection with no empty compartment?
    2. Show or tell how you know.