[size=150]Use the areas of the two identical squares to explain why [math]5^2+12^2=13^2[/math] without doing any calculations.[/size][br][br][img]data:image/png;base64,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[/img]
Give an example of a rational number, and explain how you know it is rational.
Give three examples of irrational numbers.
[math]10^5\cdot10^0[/math]
[math]\frac{10^9}{10^0}[/math]
[size=150][size=100]Andre is ordering ribbon to make decorations for a school event. He needs a total of exactly 50.25 meters of blue and green ribbon. Andre needs 50% more blue ribbon than green ribbon for the basic design, plus an extra 6.5 meters of blue ribbon for accents. How much of each color of ribbon does Andre need to order?[/size][/size]