What is the area of the rectangle represented by the diagram?

Record an estimate that is:

1. Clare draws this diagram.

   

   Diagram, rectangle partitioned vertically into 3 rectangles. Left rectangle, vertical side, 3, horizontal side, 1 hundred. Middle rectangle, horizontal side, 30. Right rectangle, horizontal side, 5.

   1. What multiplication expression can be represented by the diagram?

   2. Find the value of the expression. Show your thinking using diagrams, symbols, or other representations.

2. Consider the expression .

   1. Draw a diagram to represent the expression.

   2. Find the value of the expression. Show your thinking using diagrams, symbols, or other representations.

3. Lin draws a diagram to represent .

   

   Diagram, rectangle partitioned vertically into 4 rectangles. Left rectangle, vertical side, 3, horizontal side, blank. Left middle rectangle, horizontal side, 100. Right middle rectangle, horizontal side, blank, area 90. Right rectangle, horizontal side, 5.

   1. Complete Lin’s diagram.

   2. Write an expression to represent the value of each part of the diagram.

   3. Find the value of . Show your thinking using diagrams, symbols, or other representations.

1. Jada uses this diagram to multiply . She makes a few errors in the diagram.

   

   Diagram, rectangle partitioned vertically into 4 rectangles. Left rectangle, vertical side, 3, horizontal side, 6 thousand, area 18. Left middle rectangle, horizontal side, 4 hundred, area, 12. Right middle rectangle, horizontal side, eighty, area, 24. Right rectangle, horizontal side, 9, area, 27.

   1. Explain the errors Jada made.

   2. Find the value of . Show your thinking using diagrams, symbols, or other representations.

2. Find the value of . Show your thinking using diagrams, symbols, or other representations.
3. Find the value of . Show your thinking using diagrams, symbols, or other representations.