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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