Math 8 U1 Ordering Real Numbers Test Review

​M8 U1 Ordering Real Numbers Test Review

By Alison Moir

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Real Number System SOL 8.NS.2abc

Multiple Choice

Which of the following is an irrational number?

• $$\pi$$

• $$\frac{1}{3}$$

• $$0$$

• $$\sqrt[]{225}$$

Labelling

Label the diagram so that it accurately represents the relationships between the subsets of the real number system.

Drag labels to their correct position on the image

Irrational

Natural

Rational

Integers

Whole

Hotspot

Select all irrational numbers.

Match

Match the following

• The set of negative and positive numbers and terminating decimals.

• The set of counting numbers and their opposites.

• The set of counting numbers.

• The set of counting numbers and zero.

Rational Numbers

Integers

Natural Numbers

Whole Numbers

• Rational Numbers

• Integers

• Natural Numbers

• Whole Numbers

Multiple Select

Which subsets of the real number system does 0 belong?

• Whole

• Rational

• Natural

• Integer

Multiple Choice

Which statement correctly identifies the subset of the number below?

$$-2.58$$

• Rational

• Irrational

• Integer

• Whole

• Natural

Multiple Choice

True or False: $$-\sqrt[]{40}$$ is rational.

• True

• False

Categorize

Options (8)

$$-11$$  

$$2\pi$$  

$$-\sqrt[]{25}$$  

$$154$$  

$$-2.1567894786127....$$  

$$\sqrt[]{10}$$  

$$3.75$$  

$$-\sqrt[]{21}$$  

Organize these options into the right categories

Rational

Irrational

Hotspot

Select all correct answers.

In each row, select all subsets in which the number belongs.

You may select more than one answer in each row.

Poll

Based on the previous questions, how many did you get correct?

• 0 correct

• 1 - 2 questions

• 3 - 5 questions

• 6 - 7 questions

• I got this! Answered all correct.

Compare & Order
SOL 8.NS.1abc

Multiple Choice

Which number has a value between $$-\sqrt[]{9}\ and\ \pi$$ ?

• $$\frac{13}{4}$$

• $$-\frac{18}{6}$$

• $$3.1\times10^2$$

• $$3.2\times10^{-2}$$

Multiple Choice

What is the smallest value?

• $$\sqrt[]{3}$$

• $$5.13\times10^{-1}$$

• $$\frac{5}{9}$$

• $$\frac{1}{2}$$

• $$53\%$$

Multiple Choice

What is the largest value?

• $$\sqrt[]{3}$$

• $$5.13\times10^{-1}$$

• $$\frac{5}{9}$$

• $$\frac{1}{2}$$

• $$53\%$$

Multiple Choice

Which pair of numbers is between 7 and 8?

• $$\sqrt[]{49}\ and\ \sqrt[]{64}$$

• $$\sqrt[]{47}and\ \sqrt[]{68}$$

• $$\sqrt[]{7}and\ \sqrt[]{8}$$

• $$\sqrt[]{52}\ and\ \sqrt[]{62}$$

Reorder

Sort the numbers in ascending order.

• $$-3.98\times10^0$$

• $$-400\%$$

• $$-\sqrt[]{17}$$

• $$-4.2$$

• $$-\frac{38}{9}$$

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

Which letter best represents the position of $$\sqrt[]{5}$$ ?

• A

• B

• C

• D

Multiple Choice

Which letter best represents the position of $$\sqrt[]{30}$$ ?

• A

• B

• C

• D

Multiple Choice

Determine if the statement is true and justify your answer.

$$5.\overline{8}<5\frac{8}{10}$$

• False, because $$5.\overline{8}$$ equals $$5\frac{8}{10}$$

• False, because $$5.\overline{8}$$ means $$5.888888...$$ which is larger than $$5\frac{8}{10}$$

• True, because $$5.\overline{8}$$ means $$5.08$$ which is smaller than $$5\frac{8}{10}$$

Multiple Choice

Between which two integers does $$-\sqrt[]{50}$$ fall?

• $$-26\ and\ -25$$

• $$-25\ and\ -24$$

• $$-8\ and\ -7$$

• $$-7\ and\ -6$$

Multiple Choice

Which number is smaller than $$1\frac{5}{12}$$ ?

• $$142\%$$

• $$\sqrt[]{2}$$

• $$1.25\times10^2$$

• $$1\frac{4}{7}$$

Labelling

Order the numbers in descending order. $$0.4$$

Drag labels to their correct position on the image

Poll

How confident do you feel about what we just reviewed in math?

• Confident

  I understand most of it.

• Somewhat confident

  I need more practice.

• Not confident

  I still feel confused.

• Very confident

  I could teach it to someone else.