Comparing and Ordering Real Numbers

This worksheet focuses on comparing and ordering various types of real numbers, including rational and irrational numbers, using number lines and inequalities.

Grade 12 Math Number SenseComparing and Ordering Real Numbers

Use This Worksheet

Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

real numbersinequalitiesnumber linerationalirrationalgrade 12

8 sections · Free to use · Printable

← More Math worksheets for Grade 12

Comparing and Ordering Real Numbers

Name:

Date:

Score:

Read each question carefully and follow the instructions. Show all your work for full credit.

1. Compare the following pairs of real numbers using <, >, or =.

a) √17 4.12

b) π 3.14159

c) -2/3 -0.67

2. Plot the following real numbers on the number line below: -1.5, √2, 0, -3/4, 2.7.

Then, write them in ascending order.

3. Fill in the blanks with 'rational' or 'irrational'.

a) The number 0.333... is a(n) number.

b) The number √9 is a(n) number.

c) The number √10 is a(n) number.

d) The sum of a rational and an irrational number is always .

4. Which of the following numbers is the smallest?

-√5

-2.2

-7/3

-2.25

5. A student claims that 1/√3 is greater than √3/3. Is the student correct? Justify your answer.

6. True or False: Every integer is a rational number.

True

False