Worksheet: Comparing and Ordering Real Numbers

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

Q1:

Complete 7304.9 using <,=, or >.

  • A >
  • B =
  • C <

Q2:

Complete 7.2|||4738||| using <, =, or >.

  • A <
  • B =
  • C >

Q3:

Complete 5417 using <, = or >.

  • A >
  • B <
  • C =

Q4:

Without using a calculator, order the numbers 3𝜋, 32, 𝜋, 9, and 33 from smallest to largest.

  • A 𝜋 , 3 𝜋 , 9, 33, 32
  • B 3 2 , 3 3 , 9, 3𝜋, 𝜋
  • C 3 2 , 3 3 , 9, 𝜋, 3𝜋
  • D 3 2 , 9, 33, 3𝜋, 𝜋
  • E 3 2 , 3 3 , 3 𝜋 , 𝜋 , 9

Q5:

David and Jennifer are looking at the boiling temperatures of nitrogen (195.8C) and oxygen (183C). David says that because 195.8>183, nitrogen boils at a higher temperature than oxygen. Jennifer says it is the opposite; that is, oxygen boils at a higher temperature because 183>195.8CC. Who is right?

  • ADavid
  • BJennifer

Q6:

By considering square numbers, order 19,24,28,4,17,5 and 4.5 from smallest to largest.

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

Q7:

Without using a calculator, order the numbers 4, 5, and 19 from smallest to largest.

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

Q8:

Is 33 greater than, equal to, or less than 201?

  • Aequal to
  • Bless than
  • Cgreater than

Q9:

Is (𝜋38) greater than, equal to, or less than 𝜋38?

  • Aequal to
  • Bless than
  • Cgreater than

Q10:

Is 27 greater than, equal to, or less than 36?

  • Aless than
  • Bgreater than
  • Cequal to

Q11:

Is 133 greater than, equal to, or less than 44?

  • Agreater than
  • Bequal to
  • Cless than

Q12:

Is 78 greater than, equal to, or less than 8.9?

  • Aequal to
  • Bless than
  • Cgreater than

Q13:

Complete 2.44050 using <,=, or >.

  • A <
  • B =
  • C >

Q14:

Arrange the numbers on the cards in ascending order.

  • A 3 1 1 , 2 1 4 , 1 3 7 , 1 3 4
  • B 3 1 1 , 1 3 4 , 2 1 4 , 1 3 7
  • C 1 3 7 , 1 3 4 , 2 1 4 , 3 1 1
  • D 3 1 1 , 2 1 4 , 1 3 4 , 1 3 7

Q15:

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

  • Aless than
  • Bgreater than
  • Cequal to

Q16:

Which of the following is the smallest?

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

  • Afalse
  • Btrue

Q18:

Is 8+32 greater than, equal to, or less than 40?

  • Aequal to
  • Bgreater than
  • Cless than

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