Worksheet: Comparing and Ordering Real Numbers

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

Q1:

Complete 7 3 0 4 . 9 using < , = , or > .

  • A =
  • B >
  • C <

Q2:

Complete 7 . 2 | | | 4 7 3 8 | | | using < , = , or > .

  • A =
  • B <
  • C >

Q3:

Complete 5 4 1 7 using <, = or >.

  • A <
  • B =
  • C >

Q4:

Without using a calculator, order the numbers 3 𝜋 , 3 2 , 𝜋 2 , 9, and 3 3 from smallest to largest.

  • A 3 2 , 3 3 , 9, 𝜋 2 , 3 𝜋
  • B 𝜋 2 , 3 𝜋 , 9, 3 3 , 3 2
  • C 3 2 , 3 3 , 3 𝜋 , 𝜋 2 , 9
  • D 3 2 , 3 3 , 9, 3 𝜋 , 𝜋 2
  • E 3 2 , 9, 3 3 , 3 𝜋 , 𝜋 2

Q5:

Karim and Engy are looking at the boiling temperatures of nitrogen ( 1 9 5 . 8 C ) and oxygen ( 1 8 3 C ). Karim says that because 1 9 5 . 8 > 1 8 3 , nitrogen boils at a higher temperature than oxygen. Engy says it is the opposite; that is, oxygen boils at a higher temperature because 1 8 3 > 1 9 5 . 8 C C . Who is right?

  • AEngy
  • BKarim

Q6:

By considering square numbers, order 1 9 , 2 4 , 2 8 , 4 , 1 7 , 5 and 4.5 from smallest to largest.

  • A 4 , 1 7 , 4 . 5 , 1 9 , 2 4 , 5 , 2 8
  • B 2 8 , 5 , 2 4 , 4 . 5 , 1 9 , 1 7 , 4
  • C 2 8 , 5 , 2 4 , 1 9 , 4 . 5 , 1 7 , 4
  • D 4 , 1 7 , 1 9 , 4 . 5 , 2 4 , 5 , 2 8
  • E 4 , 4 . 5 , 1 7 , 1 9 , 2 4 , 5 , 2 8 ,

Q7:

Without using a calculator, order the numbers 4, 5, and 1 9 from smallest to largest.

  • A 1 9 , 4 , 5
  • B 5 , 1 9 , 4
  • C 5 , 4 , 1 9
  • D 4 , 1 9 , 5
  • E 4 , 5 , 1 9

Q8:

Is 3 3 greater than, equal to, or less than 2 0 1 ?

  • Aequal to
  • Bless than
  • Cgreater than

Q9:

Is ( 𝜋 3 8 ) greater than, equal to, or less than 𝜋 3 8 ?

  • Aless than
  • Bequal to
  • Cgreater than

Q10:

Is 2 7 greater than, equal to, or less than 3 6 ?

  • Aequal to
  • Bgreater than
  • Cless than

Q11:

Is 1 3 3 greater than, equal to, or less than 4 4 ?

  • Aequal to
  • Bless than
  • Cgreater than

Q12:

Is 7 8 greater than, equal to, or less than 8.9?

  • Aequal to
  • Bgreater than
  • Cless than

Q13:

Complete 2 . 4 4 0 5 0 using < , = , or > .

  • A =
  • B <
  • C >

Q14:

Arrange the numbers on the cards in ascending order.

  • A
  • B
  • C
  • D

Q15:

Is 1 + 2 greater than, equal to, or less than 2 + 1 ?

  • Aless than
  • Bequal to
  • Cgreater than

Q16:

Which of the following is the smallest?

  • A 3 1 0
  • B 1 8 1 9 3
  • C 3 1 0
  • D 1 8 5 1 9 3

Q17:

State whether the following statement is true or false: If 𝑎 and 𝑏 are positive, real numbers and 𝑎 > 𝑏 , then 𝑎 > 𝑏 2 2 .

  • Atrue
  • Bfalse

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