Operations on Rational and Irrational Numbers Answers

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The sum of two rational numbers will always be

A
an irrational number.
B
an integer.
C
a rational number.
D
a whole number.
3

Which of the following will result in a rational answer?

A
multiplying by a fraction
Option A
B
adding the square root of a non perfect square to a whole number
C
adding the square root of a perfect square to
Option C
D
multiplying a fraction by a repeating decimal.
4

To find the area of a trapezoid, Dylan uses the formula The bases have lengths of 3.6 cm and cm. The height of the trapezoid is cm. The area of the trapezoid is irrational because

Question illustration
A
the values of the variables are all irrational numbers.
B
the entire answer is being multiplied by a fraction.
C
the height is irrational, and it is multiplied by the other rational dimensions.
D
the bases have an irrational sum that will be multiplied by the rational height.
5

is

Question illustration
A
rational because it is a terminating decimal.
B
irrational because it is a repeating decimal.
C
irrational because it is a non-terminating and non-repeating decimal.
D
rational because it is a non-terminating and non-repeating decimal.
6

Which of the following is irrational?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which number is not a rational number?

A
Option
Option A
B
Option
Option B
C
7.608
D
Option
Option D
9

The product of two rational numbers can always be written as

A
an irrational number.
B
a whole number.
C
an integer.
D
a fraction.
10

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.Which of the following best completes the proof?

Question illustration
A
it is the sum of two rational numbers.
B
it is the sum of two irrational numbers.
C
it represents a non-terminating, non-repeating decimal.
D
its terms cannot be combined.

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