# Worksheet: Comparing and Ordering Real Numbers

In this worksheet, we will practice comparing and ordering numbers in R.

Q1:

Complete using , or .

• A
• B
• C

Q2:

Complete using , , or .

• A
• B
• C

Q3:

Complete using <, = or >.

• A
• B
• C

Q4:

Without using a calculator, order the numbers , , , 9, and from smallest to largest.

• A , , 9, ,
• B , , 9, ,
• C , , , , 9
• D , , 9, ,
• E , 9, , ,

Q5:

Karim and Engy are looking at the boiling temperatures of nitrogen () and oxygen (). Karim says that because , nitrogen boils at a higher temperature than oxygen. Engy says it is the opposite; that is, oxygen boils at a higher temperature because . Who is right?

• AEngy
• BKarim

Q6:

By considering square numbers, order and 4.5 from smallest to largest.

• A
• B
• C
• D
• E

Q7:

Without using a calculator, order the numbers 4, 5, and from smallest to largest.

• A
• B
• C
• D
• E

Q8:

Is greater than, equal to, or less than ?

• Aequal to
• Bless than
• Cgreater than

Q9:

Is greater than, equal to, or less than ?

• Aless than
• Bequal to
• Cgreater than

Q10:

Is greater than, equal to, or less than ?

• Aequal to
• Bgreater than
• Cless than

Q11:

Is greater than, equal to, or less than ?

• Aequal to
• Bless than
• Cgreater than

Q12:

Is greater than, equal to, or less than 8.9?

• Aequal to
• Bgreater than
• Cless than

Q13:

Complete using , or .

• A
• B
• C

Q14:

Arrange the numbers on the cards in ascending order.

• A
• B
• C
• D

Q15:

Is greater than, equal to, or less than ?

• Aless than
• Bequal to
• Cgreater than

Q16:

Which of the following is the smallest?

• A
• B
• C
• D

Q17:

State whether the following statement is true or false: If and are positive, real numbers and , then .

• Atrue
• Bfalse