Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 1: Real Numbers; Lesson 3:Ordering Real Numbers


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  Independent Practice  

Order the numbers from least to greatest.

  • Question 12 (request help)

    \(\sqrt{7} , 2, \large\frac{\sqrt{8}}{2}\)

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  • Question 14 (request help)

    \(\sqrt{220 }, -10, \sqrt{100} , 11.5\)

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  • Question 15 (request help)

    \(\sqrt{8} , -3.75, 3, \large\frac{9}{4}\)

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  • Question 16 (request help)

    Your sister is considering two different shapes for her garden. One is a square with side lengths of 3.5 meters, and the other is a circle with a diameter of 4 meters.

    a. Find the area of the square.

  •     \(\text{ m}^2\)
  • Question 16 (request help)

    b. Find the area of the circle.

  •     \(\text{ m}^2\)
  • Question 16 (request help)

    c. Compare your answers from parts a and b. Which garden would give your sister the most space to plant?

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  • Question 17 (request help)

    Winnie measured the length of her father’s ranch four times and got four different distances. Her measurements are shown in the table.

    a. To estimate the actual length, Winnie first approximated each distance to the nearest hundredth. Then she averaged the four numbers. Using a calculator, find Winnie’s estimate.

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  • Question 17 (request help)

    b. Winnie’s father estimated the distance across his ranch to be \(\sqrt{56 }\) km. How does this distance compare to Winnie’s estimate?

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Give an example of each type of number.

  • Question 18 (request help)

    a real number between \(\sqrt{13}\) and \(\sqrt{14}\)

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  • Question 19 (request help)

    an irrational number between 5 and 7

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