Order Numbers Worksheets Grade 8

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. Aisha is comparing two different phone plans. Plan A costs $0.15 per minute with a $5 monthly fee. Plan B costs $0.10 per minute with a $10 monthly fee. Aisha estimates she'll use about 120 minutes per month. Which plan would be more cost-effective for her, and by how much?
3. Sophia draws a number line from 0 to 6. She marks the points for sqrt(11), 16/5, and sqrt(26). Place these three numbers in order from least to greatest.

…and 5 more problems

1. Mere is helping her family build a fence for their vegetable garden. The garden has an area of 48 square meters. One side of the garden has a length of √32 meters. The other side has a length of 3√2 meters. Mere's brother Matiu thinks the garden is a rectangle with these side lengths. Mere is not sure if these side lengths will give an area of exactly 48 square meters. Is Mere correct? Show your reasoning by comparing the actual area to the desired area.
2. Maria is comparing two water tanks for her science project. Tank A is a cylinder with radius √12 meters and height 4 meters. Tank B is a rectangular prism with length 5 meters, width 3 meters, and height 2 meters. Which tank has the greater volume? Use π ≈ 3.14.
3. Aroha, Tane, and Kaia are training for a cross-country race. They each ran a different route yesterday. Aroha ran a distance of 3√11 kilometers. Tane ran 10.2 kilometers. Kaia ran 31/3 kilometers. They want to compare their distances to see who ran the farthest. Order the three distances from shortest to longest. Which distance is the longest, and by approximately how many kilometers is it longer than the shortest distance? Round your final answer to the nearest tenth.

…and 1 more problems

1. Olivia is comparing two hiking trails. Trail A has a length of 5√5 miles, and Trail B has a length of 12 miles. She wants to know which trail is longer and by approximately how many miles. Order the two trail lengths on a number line to compare them. Round to the nearest tenth if needed.
2. A rectangular prism is drawn with dimensions 8 cm by 12 cm by 15 cm. A diagonal is drawn from the bottom front left corner to the top back right corner. What is the exact length of this space diagonal?
3. Liam is designing a rectangular garden with a length of √50 meters and a width of 3√2 meters. His friend Emma is designing a square garden with side length 7 meters. Which garden has the larger area, and by approximately how many square meters? Round your answer to the nearest tenth.

…and 3 more problems