written practice lesson 1 classifying real numbers

Written practice

Lesson 1

Classifying Real Numbers

1.

26.1 x 6.15 =

7

4

8

1

2

1+ +

2.

3. 954 ÷ 0.9

4. 5

3

8

1

8

1+ +

5. Write as a decimal. 8

3

6. Write 0.666 as a fraction.

7.2

12 +

5

13

8.

Name a fraction equivalent to

5

2

9. Two students determine the prime factorization of 72. Which student is correct? Explain.

(see their work on the next slide)

Student A Student B

72

= 9 ∙ 8

= 9 ∙ 4 ∙ 2

= 9 ∙ 2 ∙ 2 ∙2

72

= 9 ∙ 8

= 9 ∙ 4 ∙ 2

= 3 ∙ 3 ∙ 2 ∙ 2 ∙2

10.

Find the prime factorization of 144

11.

Write 0.15 as a percent. If necessary, round to the nearest tenth.

12.

Write 7.2 as a percent. If necessary, round to the nearest tenth.

13.

Use braces and digits to designate the set of natural numbers.

14.

The set {0, 1, 2, 3,…} represents what set of numbers?

15. Represent the following numbers as being members of set

K: 2, 4, 2, 0, 6, 0, 10, 8

16. Which of the following numbers is irrational?

A. 15 B.C. 15.15151515D.

15

3

15

17.

The surface area of a cube is defined as 6s2, where s is the length of the side of the cube. If s is an integer, then would the surface area of a cube be a rational or irrational number?

18. True or false: A right triangle can have an obtuse angle. Explain your answer.

19.

A baby’s head is approximately one fourth of its total body length. If the baby’s body measures 19 inches, what does the baby’s head measure?

20.

True or false: An acute triangle has 3 acute angles. Explain your answer.

21.

True or false: A trapezoid has two pairs of parallel sides. Explain your answer.

22.

Tyrone ran 7 laps on the quarter-mile track during practice. Which subset of real numbers would include the distance Tyrone ran at practice?

23.

True or false: A parallelogram has two pairs of parallel sides. Explain your answer.

24.

Use the divisibility test to determine is 1248 is divisible by 2. Explain your answer.

25.The diagram shows a right triangle. The length of the hypotenuse is a member of which subset(s) of real numbers?

3 inches

5 inches

34inches

26.The diagram shows a rectangle.

a. Find the area of a rectangle b. The area is a member of which subset(s) of real numbers?

3 feet

6 feet

27.

The surface-speed record set by the lunar rover on the moon is 10.56 miles per hour. At that speed, how far would the rover travel in 3.5 hours?

28.

Use the divisibility test to determine if 207 is divisible by 3. Explain.

29.

Vidiana and Jaime went swimming before school. Vidiana swam mile and Jaime swammile.

Write a comparison to show who swam the farthest. Use <, >, or =.

5

3

7

4

30.

Shayla is balancing her checkbook. Which subset of real numbers best describes her balance?