Order Numbers Worksheets Grade 8

1. Order: √(50), 7.1, 22/3, π²
2. Isabella is building a model of a solar system for her science class. She needs to place two planets on a number line representing distance from the Sun in astronomical units (AU). Planet X is located at √50 AU, and Planet Y is located at 7.2 AU. Isabella's friend Mason claims that Planet X is farther from the Sun than Planet Y. Is Mason correct? Explain your reasoning by comparing the two values.
3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). A circle is drawn such that its diameter is equal to the length of the triangle's hypotenuse. What is the area of this circle? (Use π = 3.14)

…and 4 more problems

1. Tane is helping his family build a raised garden bed. He needs to cut a piece of wood to a length of √45 inches for one side and a piece of wood to a length of 7.5 inches for the other side. His sister Aroha says the √45 piece is longer, but Tane thinks 7.5 inches is longer. Who is correct, and how much longer is the longer piece? Round your answer to the nearest tenth if needed.
2. Charlotte is helping her family build a square patio. She has two options for the side length: Option A is 7 feet, and Option B is sqrt(47) feet. Charlotte wants the patio with the larger area. Which option has the larger area, and approximately how much larger is it in square feet? Round to the nearest tenth.
3. √(49) + 3² - 2³ = ?

…and 4 more problems

1. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). A circle is inscribed inside this triangle, tangent to all three sides. What is the approximate area of the circle? (Use π ≈ 3.14)
2. Liam is designing a rectangular garden with an area of 72 square meters. He wants the length to be the square root of 128 meters and the width to be 4 times the square root of 2 meters. His friend Noah says the dimensions won't work because the area won't match. Help Liam determine if his planned dimensions will give him exactly 72 square meters of garden area.
3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (12,0), and (12,5). A circle is drawn such that its diameter is equal to the length of the triangle's hypotenuse. What is the exact area of this circle in terms of π?

…and 3 more problems