Digits, Grade 8, Volume 1, Homework Helper

1-1: TEKS Practice

  • 1. Find square root of 9 .

  • 2. Which numbers are irrational? Select all that apply.

    • A. square root of 45

    • B. square root of 100

    • C. square root of 64

    • D. square root of 21

  • 3. A square rug has an area of 100 ft2. Write the side length as a square root. Then decide if the side length is a rational number.

  • 4. Think About the Process

    • a. How do you decide if a decimal is a rational number?

      • A. Check whether the decimal terminates in 0s or repeats.

      • B. All decimals are irrational numbers.

      • C. All decimals are rational numbers.

      • D. Check whether the decimal never terminates nor repeats.

    • b. Is 4.87787778… a rational number?

  • 5. Which numbers are rational? The dots, …, indicate that the pattern continues.

    • I. 1.1111111…

    • II. 1.567

    • III. 1.10110111…

      • A. II and III

      • B. III only

      • C. II only

      • D. I and II

      • E. I only

      • F. None of the above.

  • 6. Is 5.78778777… a rational or irrational number?

  • 7. Find the sets of numbers to which negative , 8 ninths belongs. Select all that apply.

    • A. integers

    • B. whole numbers

    • C. irrational numbers

    • D. real numbers

    • E. rational numbers

    • F. natural numbers

  • 8. Which numbers are rational? Select all that apply.

    • A. 8 fifths

    • B. π

    • C. 0

    • D. 4. , 46 bar

    • E. 10

    • F. 19 over 3

    • G. −6

    • H. There are no rational numbers

  • 9. Reasoning The numbers 2.888… and 2.999… are both rational numbers. Which of the following is an irrational number that is between the two rational numbers? Select all that apply.

    • A. 2.889

    • B. 3.889888…

    • C. 2.998999…

    • D. 2.889888…

  • 10.

    • a. Multiple Representations Is the decimal form of 13 over 3 a rational number?

    • b. Explain how you can give the answer to this question without identifying the decimal form for the fraction.

  • 11.

    • a. Writing Is 8.33333333… a rational or irrational number?

    • b. Describe how you would explain the difference between rational and irrational numbers to someone who has never heard these terms.

  • 12. Error Analysis Deena says that 9.56556555… is a rational number. Elijah disagrees and says the number is irrational. Who is correct? What might likely cause one of them to make the error?

    • A. Elijah is correct. Deena may see 9.56556555… as showing a repeating pattern.

    • B. Both Deena and Elijah are correct. Numbers like this one are both rational and irrational.

    • C. Deena is correct. Elijah may see 9.56556555… as not showing a repeating pattern.

    • D. Neither is correct. The numbers cannot be classified as rational or irrational.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties