# Worksheet: Real Numbers

Q1:

Which of the following is an irrational number that lies between 3 and 4?

• A
• B 3.9
• C
• D
• E

Q2:

Which of the following is an irrational number that lies between and ?

• A
• B
• C
• D
• E

Q3:

Order the numbers on the cards from least to greatest.

• A
• B
• C
• D

Q4:

Is greater than, equal to, or less than ?

• Aless than
• Bequal to
• Cgreater than

Q5:

A number has the infinite decimal expansion where the number of fours between the fives continues to increase. Is this a rational number?

• Ano
• Byes

Q6:

Which of the following is a rational number?

• A
• B
• C
• D
• E

Q7:

Which of the following statements must be true, given that is a rational number and ?

• A ,
• B ,
• C ,
• D ,
• E ,

Q8:

True or False? The quotient where is an integer and is zero is a rational number.

• Afalse
• Btrue

Q9:

• A
• B
• C
• D
• E

Q10:

A rational number is a number that can be written in the form , where and are integers (whole numbers) and is not zero.

Which of the following is a rational number?

• A
• B
• C
• D
• E

Q11:

Use or to complete the following:.

• A
• B

Q12:

Is every integer a rational number?

• A yes
• B no

Q13:

Find three rational numbers lying between and .

• A
• B
• C
• D

Q14:

Which of the following fractions is numerically closest to ?

• A
• B
• C
• D
• E

Q15:

Is 0.456 a rational or an irrational number?

• Aa rational number
• Ban irrational number

Q16:

What type of number is ?

• Apositive rational
• Binteger
• Cnegative rational

Q17:

Given that and , what are the possible values of ?

• A
• B13
• C0
• D

Q18:

Find the rational number that equals and the sum of its numerator and denominator equals 36.

• A
• B
• C
• D
• E

Q19:

Which of the following is the smallest?

• A
• B
• C
• D

Q20:

Which of the following is an irrational number?

• A 59
• B 109.5
• C
• D
• E

Q21:

Write the interval that represents the set of non-positive real numbers?

• A
• B
• C

Q22:

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

• Atrue
• Bfalse

Q23:

Every natural number is a real number.

• Apositive
• Bnegative

Q24:

Is a rational or an irrational number?

• Aan irrational number
• Ba rational number

Q25:

Write the interval representing the set of the positive real numbers .

• A
• B
• C
• D
• E