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4-16.

Look at the figure formed by square tiles below. How can you find out how many small squares there are in this diagram without counting each one? Think about this as you answer the questions below.

  1. Write and simplify an expression involving addition to count the number of small squares.

  • Try grouping the square tiles into columns and writing an expression to represent them.

The figure from the problem divided into 3 groups. First group: 2 columns of 5 square tiles. Second group:  1 row of 2 square tiles, with 2 rows of 2 square tiles under an empty space of  2 rows of 2 square tiles. Third group: 2 columns of 5 square tiles. Below the figure is the expression: 2 times 5 + 2 times 3 + 2 times 5 =

squares

  1. Write and simplify an expression involving subtraction to count the number of small squares.

  • In order to use subtraction, you will need to first find how many squares there would be if the blank section
    in the middle were actually squares.

    One way to check your work is to make sure that your answer to this problem matches your answer to part (a).

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