Rational Numbers

Which statement is NOT true about rational numbers?

• The sum of two rational numbers is also a rational number.

• 0 is not a rational number.

• The product of two rational numbers is also a rational number.

• The opposite of a rational number is also a rational number.

Answer explanation

0 is a rational number

Which of the following could the diagram represent?

• I: rational, II: natural

• I: integer, II: whole

• I: integer, II: rational

• I: whole, II: natural

Which of the following is a rational number but is NOT an integer?

• 8

• 24

• 6.2

Answer explanation

40/4 = 10 which is a whole number. Whole numbers have no decimals or fractions and no negative.

Every whole number is an INTEGER

6.2 has a decimal so it cant be an integer, only rational

• A

• B

• C

• D

Mr. Smith has -$275.78 as his account balance. He deposits $539.20 into his account. What is Mr. Smith's account balance now?

• $813.98

• $263.42

• $539.78

• $345.98

• A
• B
• C
• D

• A
• B
• C
• D

Which of the following is an integer but not a whole number?

• 4

• -8

• 100

Answer explanation

Integers cannot be decimals

Integers can be negative or positive

For an integers to not be a Whole number, it must be negative, because WHOLE NUMBERS ARE POSITIVE

Rational numbers are a dense set. This means that between any two rational numbers on a number

line there is another rational number. Which rational number is between 2.46 and 2.47 on a number

line?

• 2.48

• 2.4

• 2.53

• 2.468

Answer explanation

Put extra zeros at the end to help identify what is inbetween

2.46 = 2.460

2.47= 2.470

2.468 is inbetween 2.460 and 2.470

Rational numbers are a dense set. This means that between any two rational numbers on a number

line there is another rational number. Which rational number is between 3.18 and 3.19 on a number

line?

• 3.17

• 3.20

• 3.178

• 3.181

Answer explanation

Put extra zeros at the end to help identify what is inbetween

3.18 = 3.180

3.19= 3.190

3.181 is inbetween 3.180 and 3.190